WEBVTT Kind: captions Language: en 00:00:00.160 --> 00:00:02.470 align:start position:0% this<00:00:00.280> video<00:00:00.560> is<00:00:00.719> sponsored<00:00:01.199> by<00:00:01.560> blob<00:00:01.920> shirt 00:00:02.470 --> 00:00:02.480 align:start position:0% this video is sponsored by blob shirt 00:00:02.480 --> 00:00:05.230 align:start position:0% this video is sponsored by blob shirt it's<00:00:02.600> a<00:00:02.760> soft<00:00:03.080> comfy<00:00:03.439> shirt<00:00:03.919> with<00:00:04.080> blobs<00:00:04.480> on 00:00:05.230 --> 00:00:05.240 align:start position:0% it's a soft comfy shirt with blobs on 00:00:05.240 --> 00:00:08.509 align:start position:0% it's a soft comfy shirt with blobs on it<00:00:06.240> when<00:00:06.399> a<00:00:06.560> resource<00:00:07.040> is<00:00:07.279> contested<00:00:08.200> is<00:00:08.320> it 00:00:08.509 --> 00:00:08.519 align:start position:0% it when a resource is contested is it 00:00:08.519 --> 00:00:10.749 align:start position:0% it when a resource is contested is it better<00:00:08.760> to<00:00:09.120> work<00:00:09.519> together<00:00:10.040> or<00:00:10.240> look<00:00:10.360> out<00:00:10.559> for 00:00:10.749 --> 00:00:10.759 align:start position:0% better to work together or look out for 00:00:10.759 --> 00:00:12.950 align:start position:0% better to work together or look out for yourself<00:00:11.759> we're<00:00:11.920> going<00:00:12.000> to<00:00:12.200> analyze<00:00:12.719> this 00:00:12.950 --> 00:00:12.960 align:start position:0% yourself we're going to analyze this 00:00:12.960 --> 00:00:14.629 align:start position:0% yourself we're going to analyze this question<00:00:13.440> from<00:00:13.599> an<00:00:13.839> evolutionary 00:00:14.629 --> 00:00:14.639 align:start position:0% question from an evolutionary 00:00:14.639 --> 00:00:18.950 align:start position:0% question from an evolutionary perspective<00:00:15.240> using<00:00:15.599> simulations<00:00:16.359> and<00:00:16.560> Game 00:00:18.950 --> 00:00:18.960 align:start position:0% 00:00:18.960 --> 00:00:21.670 align:start position:0% Theory<00:00:19.960> each<00:00:20.119> of<00:00:20.279> these<00:00:20.400> mango<00:00:20.760> trees<00:00:21.160> has<00:00:21.400> two 00:00:21.670 --> 00:00:21.680 align:start position:0% Theory each of these mango trees has two 00:00:21.680 --> 00:00:24.349 align:start position:0% Theory each of these mango trees has two mangoes<00:00:22.080> on<00:00:22.240> the<00:00:22.359> bottom<00:00:22.680> layer<00:00:23.519> so<00:00:23.760> if<00:00:23.880> a<00:00:24.039> blob 00:00:24.349 --> 00:00:24.359 align:start position:0% mangoes on the bottom layer so if a blob 00:00:24.359 --> 00:00:26.189 align:start position:0% mangoes on the bottom layer so if a blob finds<00:00:24.560> a<00:00:24.680> tree<00:00:24.920> on<00:00:25.039> its<00:00:25.160> own<00:00:25.480> it<00:00:25.599> gets<00:00:25.800> to<00:00:25.920> eat 00:00:26.189 --> 00:00:26.199 align:start position:0% finds a tree on its own it gets to eat 00:00:26.199 --> 00:00:28.790 align:start position:0% finds a tree on its own it gets to eat both<00:00:26.519> mangoes<00:00:27.519> then<00:00:27.720> when<00:00:27.840> it<00:00:28.039> goes<00:00:28.320> home<00:00:28.679> it 00:00:28.790 --> 00:00:28.800 align:start position:0% both mangoes then when it goes home it 00:00:28.800 --> 00:00:30.990 align:start position:0% both mangoes then when it goes home it uses<00:00:29.199> the<00:00:29.320> energy<00:00:29.599> from<00:00:30.080> mango<00:00:30.439> to<00:00:30.560> make<00:00:30.759> one 00:00:30.990 --> 00:00:31.000 align:start position:0% uses the energy from mango to make one 00:00:31.000 --> 00:00:34.190 align:start position:0% uses the energy from mango to make one Offspring<00:00:31.800> so<00:00:32.079> two<00:00:32.360> Offspring<00:00:32.880> in<00:00:33.040> this<00:00:33.239> case 00:00:34.190 --> 00:00:34.200 align:start position:0% Offspring so two Offspring in this case 00:00:34.200 --> 00:00:37.150 align:start position:0% Offspring so two Offspring in this case and<00:00:34.600> also<00:00:35.200> it<00:00:35.399> dies<00:00:36.040> the<00:00:36.200> blobs<00:00:36.559> only<00:00:36.760> live<00:00:36.960> for 00:00:37.150 --> 00:00:37.160 align:start position:0% and also it dies the blobs only live for 00:00:37.160 --> 00:00:40.190 align:start position:0% and also it dies the blobs only live for one<00:00:37.440> day<00:00:38.280> on<00:00:38.399> the<00:00:38.600> next<00:00:38.879> day<00:00:39.200> the<00:00:39.440> newly<00:00:39.879> born 00:00:40.190 --> 00:00:40.200 align:start position:0% one day on the next day the newly born 00:00:40.200 --> 00:00:41.910 align:start position:0% one day on the next day the newly born blobs<00:00:40.600> will<00:00:40.760> spread<00:00:41.039> out<00:00:41.200> to<00:00:41.399> each<00:00:41.600> get<00:00:41.760> their 00:00:41.910 --> 00:00:41.920 align:start position:0% blobs will spread out to each get their 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so<00:00:50.160> they're<00:00:50.280> going<00:00:50.399> to<00:00:50.520> have<00:00:50.640> to<00:00:50.800> deal 00:00:51.069 --> 00:00:51.079 align:start position:0% treats so they're going to have to deal 00:00:51.079 --> 00:00:53.110 align:start position:0% treats so they're going to have to deal with<00:00:51.239> that<00:00:51.440> somehow<00:00:52.359> we'll<00:00:52.559> start<00:00:52.800> out<00:00:52.960> with 00:00:53.110 --> 00:00:53.120 align:start position:0% with that somehow we'll start out with 00:00:53.120 --> 00:00:55.510 align:start position:0% with that somehow we'll start out with blobs<00:00:53.520> that<00:00:53.640> work<00:00:54.120> together<00:00:54.359> as<00:00:54.440> a<00:00:54.600> team 00:00:55.510 --> 00:00:55.520 align:start position:0% blobs that work together as a team 00:00:55.520 --> 00:00:57.029 align:start position:0% blobs that work together as a team they'll<00:00:55.800> notice<00:00:56.239> that<00:00:56.359> there<00:00:56.480> are<00:00:56.680> two<00:00:56.840> more 00:00:57.029 --> 00:00:57.039 align:start position:0% they'll notice that there are two more 00:00:57.039 --> 00:00:59.189 align:start position:0% they'll notice that there are two more mangoes<00:00:57.600> higher<00:00:57.840> up<00:00:58.000> in<00:00:58.120> the<00:00:58.239> tree<00:00:58.760> and<00:00:58.920> so 00:00:59.189 --> 00:00:59.199 align:start position:0% mangoes higher up in the tree and so 00:00:59.199 --> 00:01:00.630 align:start position:0% mangoes higher up in the tree and so they'll<00:00:59.399> work<00:00:59.680> together<00:00:59.960> together<00:01:00.199> to<00:01:00.320> shake 00:01:00.630 --> 00:01:00.640 align:start position:0% they'll work together together to shake 00:01:00.640 --> 00:01:02.590 align:start position:0% they'll work together together to shake the<00:01:00.760> tree<00:01:01.280> causing<00:01:01.600> those<00:01:01.760> mangoes<00:01:02.120> to<00:01:02.280> drop 00:01:02.590 --> 00:01:02.600 align:start position:0% the tree causing those mangoes to drop 00:01:02.600 --> 00:01:05.270 align:start position:0% the tree causing those mangoes to drop and<00:01:02.760> then<00:01:02.920> they'll<00:01:03.079> share<00:01:03.399> the<00:01:03.839> total<00:01:04.839> so<00:01:05.119> that 00:01:05.270 --> 00:01:05.280 align:start position:0% and then they'll share the total so that 00:01:05.280 --> 00:01:07.149 align:start position:0% and then they'll share the total so that comes<00:01:05.479> out<00:01:05.680> to<00:01:06.000> two<00:01:06.240> mangoes<00:01:06.640> each<00:01:06.840> when<00:01:06.960> they 00:01:07.149 --> 00:01:07.159 align:start position:0% comes out to two mangoes each when they 00:01:07.159 --> 00:01:09.429 align:start position:0% comes out to two mangoes each when they cooperate<00:01:08.080> it<00:01:08.200> does<00:01:08.479> cost<00:01:08.840> them<00:01:09.000> a<00:01:09.119> little<00:01:09.320> bit 00:01:09.429 --> 00:01:09.439 align:start position:0% cooperate it does cost them a little bit 00:01:09.439 --> 00:01:11.749 align:start position:0% cooperate it does cost them a little bit of<00:01:09.600> energy<00:01:09.960> to<00:01:10.119> shake<00:01:10.439> the<00:01:10.560> tree<00:01:10.960> though<00:01:11.479> so 00:01:11.749 --> 00:01:11.759 align:start position:0% of energy to shake the tree though so 00:01:11.759 --> 00:01:13.510 align:start position:0% of energy to shake the tree though so let's<00:01:11.960> subtract<00:01:12.360> a<00:01:12.479> quarter<00:01:12.840> mango<00:01:13.200> worth<00:01:13.400> of 00:01:13.510 --> 00:01:13.520 align:start position:0% let's subtract a quarter mango worth of 00:01:13.520 --> 00:01:15.510 align:start position:0% let's subtract a quarter mango worth of energy<00:01:13.840> from<00:01:14.040> each<00:01:14.280> blob<00:01:14.759> leaving<00:01:15.119> them<00:01:15.320> with 00:01:15.510 --> 00:01:15.520 align:start position:0% energy from each blob leaving them with 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position:0% made up later on we'll look at what happens<00:01:22.360> when<00:01:22.520> we<00:01:22.680> change<00:01:23.040> some<00:01:23.200> of<00:01:23.360> these 00:01:23.510 --> 00:01:23.520 align:start position:0% happens when we change some of these 00:01:23.520 --> 00:01:25.030 align:start position:0% happens when we change some of these numbers<00:01:23.920> but<00:01:24.040> for<00:01:24.200> now<00:01:24.360> we're<00:01:24.520> just<00:01:24.720> picking 00:01:25.030 --> 00:01:25.040 align:start position:0% numbers but for now we're just picking 00:01:25.040 --> 00:01:26.830 align:start position:0% numbers but for now we're just picking something<00:01:25.479> specific<00:01:25.840> to<00:01:26.000> get<00:01:26.119> a<00:01:26.320> simulation 00:01:26.830 --> 00:01:26.840 align:start position:0% something specific to get a simulation 00:01:26.840 --> 00:01:29.350 align:start position:0% something specific to get a simulation running<00:01:27.799> when<00:01:28.000> these<00:01:28.200> blabs<00:01:28.640> reproduce 00:01:29.350 --> 00:01:29.360 align:start position:0% running when these blabs reproduce 00:01:29.360 --> 00:01:31.230 align:start position:0% running when these blabs reproduce they'll<00:01:29.520> use<00:01:29.720> the<00:01:30.000> first<00:01:30.240> unit<00:01:30.520> of<00:01:30.680> energy<00:01:31.040> to 00:01:31.230 --> 00:01:31.240 align:start position:0% they'll use the first unit of energy to 00:01:31.240 --> 00:01:33.830 align:start position:0% they'll use the first unit of energy to create<00:01:31.560> one<00:01:31.759> Offspring<00:01:32.280> for<00:01:32.439> sure<00:01:33.320> then<00:01:33.560> the 00:01:33.830 --> 00:01:33.840 align:start position:0% create one Offspring for sure then the 00:01:33.840 --> 00:01:35.630 align:start position:0% create one Offspring for sure then the remaining<00:01:34.079> 3/4s<00:01:34.720> will<00:01:34.920> convert<00:01:35.240> into<00:01:35.439> a 00:01:35.630 --> 00:01:35.640 align:start position:0% remaining 3/4s will convert into a 00:01:35.640 --> 00:01:37.749 align:start position:0% remaining 3/4s will convert into a probability<00:01:36.159> for<00:01:36.360> one<00:01:36.520> more 00:01:37.749 --> 00:01:37.759 align:start position:0% probability for one more 00:01:37.759 --> 00:01:40.030 align:start position:0% probability for one more offspring<00:01:38.759> okay<00:01:38.960> two<00:01:39.159> of<00:01:39.280> them<00:01:39.439> reproduced 00:01:40.030 --> 00:01:40.040 align:start position:0% offspring okay two of them reproduced 00:01:40.040 --> 00:01:42.310 align:start position:0% offspring okay two of them reproduced once<00:01:40.360> and<00:01:40.520> two<00:01:40.680> of<00:01:40.840> them<00:01:41.000> reproduced<00:01:41.720> twice<00:01:42.159> so 00:01:42.310 --> 00:01:42.320 align:start position:0% once and two of them reproduced twice so 00:01:42.320 --> 00:01:44.950 align:start position:0% once and two of them reproduced twice so now<00:01:42.479> we<00:01:42.640> have<00:01:42.840> six<00:01:43.119> blobs<00:01:43.520> total<00:01:44.439> but<00:01:44.640> we<00:01:44.759> still 00:01:44.950 --> 00:01:44.960 align:start position:0% now we have six blobs total but we still 00:01:44.960 --> 00:01:47.630 align:start position:0% now we have six blobs total but we still only<00:01:45.240> have<00:01:45.399> two<00:01:45.759> trees<00:01:46.759> the<00:01:46.880> blobs<00:01:47.320> avoid 00:01:47.630 --> 00:01:47.640 align:start position:0% only have two trees the blobs avoid 00:01:47.640 --> 00:01:49.270 align:start position:0% only have two trees the blobs avoid going<00:01:47.799> to<00:01:47.960> a<00:01:48.079> tree<00:01:48.360> that<00:01:48.520> already<00:01:48.840> has<00:01:49.000> two 00:01:49.270 --> 00:01:49.280 align:start position:0% going to a tree that already has two 00:01:49.280 --> 00:01:51.230 align:start position:0% going to a tree that already has two blobs<00:01:49.880> so<00:01:50.119> if<00:01:50.240> the<00:01:50.360> world<00:01:50.640> has<00:01:50.840> more<00:01:51.040> than 00:01:51.230 --> 00:01:51.240 align:start position:0% blobs so if the world has more than 00:01:51.240 --> 00:01:53.389 align:start position:0% blobs so if the world has more than twice<00:01:51.520> as<00:01:51.640> many<00:01:51.840> blobs<00:01:52.320> as<00:01:52.399> it<00:01:52.520> does<00:01:52.799> trees 00:01:53.389 --> 00:01:53.399 align:start position:0% twice as many blobs as it does trees 00:01:53.399 --> 00:01:55.230 align:start position:0% twice as many blobs as it does trees then<00:01:53.600> the<00:01:53.719> last<00:01:54.040> blobs<00:01:54.399> to<00:01:54.520> go<00:01:54.680> out<00:01:54.880> will<00:01:55.079> end 00:01:55.230 --> 00:01:55.240 align:start position:0% then the last blobs to go out will end 00:01:55.240 --> 00:01:58.190 align:start position:0% then the last blobs to go out will end up<00:01:55.479> wandering<00:01:55.920> around<00:01:56.520> until<00:01:56.840> they<00:01:57.039> die<00:01:57.840> so 00:01:58.190 --> 00:01:58.200 align:start position:0% up wandering around until they die so 00:01:58.200 --> 00:02:00.109 align:start position:0% up wandering around until they die so two<00:01:58.520> times<00:01:58.920> the<00:01:59.039> number<00:01:59.280> of<00:01:59.399> trees<00:01:59.880> will<00:02:00.000> be 00:02:00.109 --> 00:02:00.119 align:start position:0% two times the number of trees will be 00:02:00.119 --> 00:02:02.029 align:start position:0% two times the number of trees will be the<00:02:00.240> carrying<00:02:00.680> capacity<00:02:01.159> for<00:02:01.360> any<00:02:01.560> of<00:02:01.719> these 00:02:02.029 --> 00:02:02.039 align:start position:0% the carrying capacity for any of these 00:02:02.039 --> 00:02:04.429 align:start position:0% the carrying capacity for any of these worlds<00:02:03.039> all<00:02:03.240> right<00:02:03.479> at<00:02:03.640> this<00:02:03.799> stage<00:02:04.200> let's 00:02:04.429 --> 00:02:04.439 align:start position:0% worlds all right at this stage let's 00:02:04.439 --> 00:02:07.389 align:start position:0% worlds all right at this stage let's introduce<00:02:05.000> a<00:02:05.479> mutation<00:02:06.479> instead<00:02:06.759> of<00:02:06.880> a<00:02:07.039> team 00:02:07.389 --> 00:02:07.399 align:start position:0% introduce a mutation instead of a team 00:02:07.399 --> 00:02:10.589 align:start position:0% introduce a mutation instead of a team blob<00:02:08.000> this<00:02:08.160> red<00:02:08.360> blob<00:02:08.759> is<00:02:08.879> a<00:02:09.119> solo<00:02:09.640> blob 00:02:10.589 --> 00:02:10.599 align:start position:0% blob this red blob is a solo blob 00:02:10.599 --> 00:02:12.309 align:start position:0% blob this red blob is a solo blob instead<00:02:10.879> of<00:02:11.080> cooperating<00:02:11.720> it'll<00:02:12.000> fight 00:02:12.309 --> 00:02:12.319 align:start position:0% instead of cooperating it'll fight 00:02:12.319 --> 00:02:14.229 align:start position:0% instead of cooperating it'll fight trying<00:02:12.560> to<00:02:12.680> get<00:02:12.840> as<00:02:13.000> many<00:02:13.239> mangoes<00:02:13.640> for<00:02:13.840> itself 00:02:14.229 --> 00:02:14.239 align:start position:0% trying to get as many mangoes for itself 00:02:14.239 --> 00:02:17.070 align:start position:0% trying to get as many mangoes for itself as<00:02:14.319> it<00:02:14.519> can<00:02:15.400> just<00:02:15.599> like<00:02:15.920> team<00:02:16.200> blobs<00:02:16.760> they<00:02:16.879> can 00:02:17.070 --> 00:02:17.080 align:start position:0% as it can just like team blobs they can 00:02:17.080 --> 00:02:19.630 align:start position:0% as it can just like team blobs they can also<00:02:17.319> get<00:02:17.480> a<00:02:17.599> tree<00:02:17.920> to<00:02:18.239> themselves<00:02:19.120> and<00:02:19.360> when<00:02:19.480> a 00:02:19.630 --> 00:02:19.640 align:start position:0% also get a tree to themselves and when a 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00:02:27.470 align:start position:0% start shaking the tree but the solo blob is<00:02:26.160> just<00:02:26.319> going<00:02:26.440> to<00:02:26.560> start<00:02:26.800> eating<00:02:27.080> the 00:02:27.470 --> 00:02:27.480 align:start position:0% is just going to start eating the 00:02:27.480 --> 00:02:30.030 align:start position:0% is just going to start eating the mangoes<00:02:28.480> once<00:02:28.680> the<00:02:28.840> team<00:02:29.080> blob<00:02:29.400> realizes<00:02:29.920> is 00:02:30.030 --> 00:02:30.040 align:start position:0% mangoes once the team blob realizes is 00:02:30.040 --> 00:02:31.949 align:start position:0% mangoes once the team blob realizes is what's<00:02:30.239> going<00:02:30.440> on<00:02:30.800> it'll<00:02:31.000> start<00:02:31.239> eating<00:02:31.560> two 00:02:31.949 --> 00:02:31.959 align:start position:0% what's going on it'll start eating two 00:02:31.959 --> 00:02:33.350 align:start position:0% what's going on it'll start eating two trying<00:02:32.160> to<00:02:32.319> get<00:02:32.440> what<00:02:32.560> it<00:02:32.720> can<00:02:33.000> before<00:02:33.239> the 00:02:33.350 --> 00:02:33.360 align:start position:0% trying to get what it can before the 00:02:33.360 --> 00:02:35.869 align:start position:0% trying to get what it can before the solo<00:02:33.720> blob<00:02:34.040> gets<00:02:34.519> everything<00:02:35.519> we're<00:02:35.680> going<00:02:35.760> to 00:02:35.869 --> 00:02:35.879 align:start position:0% solo blob gets everything we're going to 00:02:35.879 --> 00:02:37.990 align:start position:0% solo blob gets everything we're going to have<00:02:36.000> to<00:02:36.120> make<00:02:36.280> up<00:02:36.400> a<00:02:36.519> number<00:02:36.800> here<00:02:37.000> to<00:02:37.640> which 00:02:37.990 --> 00:02:38.000 align:start position:0% have to make up a number here to which 00:02:38.000 --> 00:02:39.710 align:start position:0% have to make up a number here to which again<00:02:38.200> we<00:02:38.319> can<00:02:38.440> change<00:02:38.800> later<00:02:39.319> but<00:02:39.480> let's 00:02:39.710 --> 00:02:39.720 align:start position:0% again we can change later but let's 00:02:39.720 --> 00:02:41.910 align:start position:0% again we can change later but let's start<00:02:40.000> by<00:02:40.159> saying<00:02:40.560> the<00:02:40.840> solo<00:02:41.239> blob<00:02:41.560> gets<00:02:41.800> one 00:02:41.910 --> 00:02:41.920 align:start position:0% start by saying the solo blob gets one 00:02:41.920 --> 00:02:43.869 align:start position:0% start by saying the solo blob gets one and<00:02:42.080> a<00:02:42.200> half<00:02:42.400> mangoes<00:02:43.040> and<00:02:43.159> the<00:02:43.280> team<00:02:43.560> blob 00:02:43.869 --> 00:02:43.879 align:start position:0% and a half mangoes and the team blob 00:02:43.879 --> 00:02:46.270 align:start position:0% and a half mangoes and the team blob gets<00:02:44.120> the<00:02:44.360> remaining<00:02:44.680> half<00:02:44.800> of<00:02:45.040> mango<00:02:46.040> then 00:02:46.270 --> 00:02:46.280 align:start position:0% gets the remaining half of mango then 00:02:46.280 --> 00:02:48.470 align:start position:0% gets the remaining half of mango then when<00:02:46.440> they<00:02:46.599> go<00:02:46.760> home<00:02:46.959> to<00:02:47.120> reproduce<00:02:47.959> the<00:02:48.080> solo 00:02:48.470 --> 00:02:48.480 align:start position:0% when they go home to reproduce the solo 00:02:48.480 --> 00:02:50.710 align:start position:0% when they go home to reproduce the solo blob<00:02:48.840> will<00:02:49.120> produce<00:02:49.480> one<00:02:49.720> Offspring<00:02:50.239> for<00:02:50.400> sure 00:02:50.710 --> 00:02:50.720 align:start position:0% blob will produce one Offspring for sure 00:02:50.720 --> 00:02:53.070 align:start position:0% blob will produce one Offspring for sure and<00:02:50.840> then<00:02:51.000> have<00:02:51.159> a<00:02:51.319> 50%<00:02:52.000> chance<00:02:52.319> to<00:02:52.560> produce<00:02:52.879> a 00:02:53.070 --> 00:02:53.080 align:start position:0% and then have a 50% chance to produce a 00:02:53.080 --> 00:02:55.390 align:start position:0% and then have a 50% chance to produce a second<00:02:54.040> and<00:02:54.239> the<00:02:54.360> team<00:02:54.640> blob<00:02:54.959> will<00:02:55.120> just<00:02:55.280> have 00:02:55.390 --> 00:02:55.400 align:start position:0% second and the team blob will just have 00:02:55.400 --> 00:02:58.550 align:start position:0% second and the team blob will just have a<00:02:55.640> 50%<00:02:56.239> chance<00:02:56.560> to<00:02:56.800> produce<00:02:57.200> one<00:02:57.560> Offspring 00:02:58.550 --> 00:02:58.560 align:start position:0% a 50% chance to produce one Offspring 00:02:58.560 --> 00:03:00.710 align:start position:0% a 50% chance to produce one Offspring okay<00:02:58.800> now<00:02:59.000> that<00:02:59.120> we<00:02:59.280> have<00:02:59.440> two<00:02:59.879> solo<00:03:00.200> blobs<00:03:00.640> we 00:03:00.710 --> 00:03:00.720 align:start position:0% okay now that we have two solo blobs we 00:03:00.720 --> 00:03:03.470 align:start position:0% okay now that we have two solo blobs we can<00:03:00.840> see<00:03:01.080> what<00:03:01.280> happens<00:03:01.680> when<00:03:01.840> they<00:03:02.319> meet<00:03:03.319> they 00:03:03.470 --> 00:03:03.480 align:start position:0% can see what happens when they meet they 00:03:03.480 --> 00:03:05.350 align:start position:0% can see what happens when they meet they each<00:03:03.680> go<00:03:03.840> for<00:03:04.080> the<00:03:04.200> other<00:03:04.400> ones<00:03:04.680> mango<00:03:05.239> but 00:03:05.350 --> 00:03:05.360 align:start position:0% each go for the other ones mango but 00:03:05.360 --> 00:03:07.430 align:start position:0% each go for the other ones mango but then<00:03:05.519> they<00:03:05.720> fight<00:03:05.959> a<00:03:06.080> little<00:03:06.319> bit<00:03:06.920> they<00:03:07.080> end<00:03:07.280> up 00:03:07.430 --> 00:03:07.440 align:start position:0% then they fight a little bit they end up 00:03:07.440 --> 00:03:09.470 align:start position:0% then they fight a little bit they end up stopping<00:03:07.959> and<00:03:08.120> eating<00:03:08.440> their<00:03:08.599> one<00:03:08.840> mango<00:03:09.319> but 00:03:09.470 --> 00:03:09.480 align:start position:0% stopping and eating their one mango but 00:03:09.480 --> 00:03:11.830 align:start position:0% stopping and eating their one mango but not<00:03:09.680> before<00:03:10.000> wasting<00:03:10.360> some<00:03:10.560> energy<00:03:11.480> let's<00:03:11.680> say 00:03:11.830 --> 00:03:11.840 align:start position:0% not before wasting some energy let's say 00:03:11.840 --> 00:03:13.670 align:start position:0% not before wasting some energy let's say the<00:03:11.959> energy<00:03:12.319> penalty<00:03:12.720> is<00:03:12.920> pretty<00:03:13.200> minor<00:03:13.480> for 00:03:13.670 --> 00:03:13.680 align:start position:0% the energy penalty is pretty minor for 00:03:13.680 --> 00:03:15.710 align:start position:0% the energy penalty is pretty minor for now<00:03:13.959> so<00:03:14.120> each<00:03:14.319> solo<00:03:14.680> blob<00:03:15.000> goes<00:03:15.159> home<00:03:15.360> with<00:03:15.480> a 00:03:15.710 --> 00:03:15.720 align:start position:0% now so each solo blob goes home with a 00:03:15.720 --> 00:03:18.190 align:start position:0% now so each solo blob goes home with a net<00:03:15.959> reward<00:03:16.360> of<00:03:16.599> 3/4<00:03:17.239> of<00:03:17.400> Omega<00:03:17.840> worth<00:03:18.040> of 00:03:18.190 --> 00:03:18.200 align:start position:0% net reward of 3/4 of Omega worth of 00:03:18.200 --> 00:03:21.710 align:start position:0% net reward of 3/4 of Omega worth of energy<00:03:19.200> which<00:03:19.440> then<00:03:19.640> leads<00:03:19.959> to<00:03:20.280> a<00:03:20.480> 75%<00:03:21.440> chance 00:03:21.710 --> 00:03:21.720 align:start position:0% energy which then leads to a 75% chance 00:03:21.720 --> 00:03:24.229 align:start position:0% energy which then leads to a 75% chance to<00:03:22.159> reproduce<00:03:23.159> okay<00:03:23.440> now<00:03:23.560> that<00:03:23.760> we<00:03:23.920> have<00:03:24.080> all 00:03:24.229 --> 00:03:24.239 align:start position:0% to reproduce okay now that we have all 00:03:24.239 --> 00:03:25.789 align:start position:0% to reproduce okay now that we have all the<00:03:24.360> rewards<00:03:24.799> laid<00:03:25.040> out<00:03:25.319> let's<00:03:25.519> make<00:03:25.680> the 00:03:25.789 --> 00:03:25.799 align:start position:0% the rewards laid out let's make the 00:03:25.799 --> 00:03:28.190 align:start position:0% the rewards laid out let's make the world<00:03:26.080> a<00:03:26.239> bit<00:03:26.440> bigger<00:03:27.200> and<00:03:27.360> set<00:03:27.519> up<00:03:27.640> a<00:03:27.840> graph<00:03:28.080> to 00:03:28.190 --> 00:03:28.200 align:start position:0% world a bit bigger and set up a graph to 00:03:28.200 --> 00:03:30.910 align:start position:0% world a bit bigger and set up a graph to track<00:03:28.480> the<00:03:28.640> relative<00:03:29.040> abundance<00:03:29.400> of<00:03:29.519> you<00:03:29.959> type 00:03:30.910 --> 00:03:30.920 align:start position:0% track the relative abundance of you type 00:03:30.920 --> 00:03:32.630 align:start position:0% track the relative abundance of you type before<00:03:31.120> we<00:03:31.239> start<00:03:31.519> this<00:03:31.680> simulation<00:03:32.439> what<00:03:32.519> do 00:03:32.630 --> 00:03:32.640 align:start position:0% before we start this simulation what do 00:03:32.640 --> 00:03:34.990 align:start position:0% before we start this simulation what do you<00:03:32.720> think<00:03:32.840> will<00:03:33.080> happen<00:03:34.000> will<00:03:34.280> one<00:03:34.560> strategy 00:03:34.990 --> 00:03:35.000 align:start position:0% you think will happen will one strategy 00:03:35.000 --> 00:03:36.789 align:start position:0% you think will happen will one strategy do<00:03:35.159> a<00:03:35.280> better<00:03:35.560> job<00:03:35.720> of<00:03:35.879> reproducing<00:03:36.560> and<00:03:36.680> then 00:03:36.789 --> 00:03:36.799 align:start position:0% do a better job of reproducing and then 00:03:36.799 --> 00:03:39.190 align:start position:0% do a better job of reproducing and then be<00:03:36.959> more<00:03:37.159> common<00:03:37.439> in<00:03:37.560> the<00:03:37.760> population<00:03:38.760> and<00:03:39.040> if 00:03:39.190 --> 00:03:39.200 align:start position:0% be more common in the population and if 00:03:39.200 --> 00:03:41.350 align:start position:0% be more common in the population and if so<00:03:39.720> will<00:03:39.879> it<00:03:40.040> be<00:03:40.239> so<00:03:40.519> extreme<00:03:40.920> that<00:03:41.080> the<00:03:41.200> other 00:03:41.350 --> 00:03:41.360 align:start position:0% so will it be so extreme that the other 00:03:41.360 --> 00:03:50.170 align:start position:0% so will it be so extreme that the other one<00:03:41.560> will<00:03:41.720> go<00:03:41.920> extinct<00:03:42.920> something 00:03:50.170 --> 00:03:50.180 align:start position:0% 00:03:50.180 --> 00:03:58.670 align:start position:0% [Music] 00:03:58.670 --> 00:03:58.680 align:start position:0% 00:03:58.680 --> 00:04:00.670 align:start position:0% else 00:04:00.670 --> 00:04:00.680 align:start position:0% else 00:04:00.680 --> 00:04:03.270 align:start position:0% else this<00:04:00.920> Blue<00:04:01.280> Area<00:04:01.720> represents<00:04:02.400> the<00:04:02.720> fraction 00:04:03.270 --> 00:04:03.280 align:start position:0% this Blue Area represents the fraction 00:04:03.280 --> 00:04:06.509 align:start position:0% this Blue Area represents the fraction of<00:04:03.439> Team<00:04:03.840> blobs<00:04:04.280> over<00:04:04.599> time<00:04:05.439> and<00:04:05.680> the<00:04:05.879> red<00:04:06.159> area 00:04:06.509 --> 00:04:06.519 align:start position:0% of Team blobs over time and the red area 00:04:06.519 --> 00:04:09.110 align:start position:0% of Team blobs over time and the red area represents<00:04:07.040> the<00:04:07.159> fraction<00:04:07.519> of<00:04:07.799> solo<00:04:08.120> blobs 00:04:09.110 --> 00:04:09.120 align:start position:0% represents the fraction of solo blobs 00:04:09.120 --> 00:04:11.309 align:start position:0% represents the fraction of solo blobs and<00:04:09.360> since<00:04:09.760> those<00:04:09.959> are<00:04:10.239> the<00:04:10.360> only<00:04:10.640> two<00:04:10.920> kinds 00:04:11.309 --> 00:04:11.319 align:start position:0% and since those are the only two kinds 00:04:11.319 --> 00:04:13.910 align:start position:0% and since those are the only two kinds the<00:04:11.439> two<00:04:11.599> fractions<00:04:12.079> have<00:04:12.239> to<00:04:12.360> add<00:04:12.519> up<00:04:12.640> to<00:04:12.920> one 00:04:13.910 --> 00:04:13.920 align:start position:0% the two fractions have to add up to one 00:04:13.920 --> 00:04:16.150 align:start position:0% the two fractions have to add up to one so<00:04:14.239> it<00:04:14.360> looks<00:04:14.599> like<00:04:14.760> teamwork<00:04:15.239> went 00:04:16.150 --> 00:04:16.160 align:start position:0% so it looks like teamwork went 00:04:16.160 --> 00:04:18.590 align:start position:0% so it looks like teamwork went extinct<00:04:17.160> that<00:04:17.320> could<00:04:17.479> have<00:04:17.600> been<00:04:17.720> luck<00:04:18.040> though 00:04:18.590 --> 00:04:18.600 align:start position:0% extinct that could have been luck though 00:04:18.600 --> 00:04:20.270 align:start position:0% extinct that could have been luck though so<00:04:18.919> let's<00:04:19.160> double<00:04:19.440> check<00:04:19.720> by<00:04:19.840> adding<00:04:20.120> some 00:04:20.270 --> 00:04:20.280 align:start position:0% so let's double check by adding some 00:04:20.280 --> 00:04:22.749 align:start position:0% so let's double check by adding some more<00:04:20.479> worlds<00:04:21.440> and<00:04:21.600> to<00:04:21.759> mix<00:04:22.000> things<00:04:22.240> up<00:04:22.600> each 00:04:22.749 --> 00:04:22.759 align:start position:0% more worlds and to mix things up each 00:04:22.759 --> 00:04:23.990 align:start position:0% more worlds and to mix things up each world<00:04:23.040> is<00:04:23.160> going<00:04:23.240> to<00:04:23.360> have<00:04:23.479> a<00:04:23.680> different 00:04:23.990 --> 00:04:24.000 align:start position:0% world is going to have a different 00:04:24.000 --> 00:04:25.909 align:start position:0% world is going to have a different starting<00:04:24.360> mixture<00:04:24.720> of<00:04:24.880> Team<00:04:25.120> blobs<00:04:25.479> and<00:04:25.600> solo 00:04:25.909 --> 00:04:25.919 align:start position:0% starting mixture of Team blobs and solo 00:04:25.919 --> 00:04:28.150 align:start position:0% starting mixture of Team blobs and solo blobs<00:04:26.720> this<00:04:27.000> first<00:04:27.240> world<00:04:27.560> is<00:04:27.680> going<00:04:27.759> to<00:04:27.919> start 00:04:28.150 --> 00:04:28.160 align:start position:0% blobs this first world is going to start 00:04:28.160 --> 00:04:31.430 align:start position:0% blobs this first world is going to start with<00:04:28.400> 10%<00:04:28.960> team<00:04:29.240> blobs<00:04:29.639> and<00:04:29.759> 90%<00:04:30.360> solo<00:04:30.720> blobs 00:04:31.430 --> 00:04:31.440 align:start position:0% with 10% team blobs and 90% solo blobs 00:04:31.440 --> 00:04:33.670 align:start position:0% with 10% team blobs and 90% solo blobs the<00:04:31.600> next<00:04:31.800> World<00:04:32.039> will<00:04:32.199> start<00:04:32.479> with<00:04:32.720> 20%<00:04:33.400> team 00:04:33.670 --> 00:04:33.680 align:start position:0% the next World will start with 20% team 00:04:33.680 --> 00:04:36.230 align:start position:0% the next World will start with 20% team blobs<00:04:34.080> and<00:04:34.280> 80%<00:04:34.919> solo<00:04:35.280> blobs<00:04:35.919> and<00:04:36.039> will 00:04:36.230 --> 00:04:36.240 align:start position:0% blobs and 80% solo blobs and will 00:04:36.240 --> 00:04:38.150 align:start position:0% blobs and 80% solo blobs and will increase<00:04:36.639> the<00:04:36.800> fraction<00:04:37.120> of<00:04:37.240> Team<00:04:37.600> blobs<00:04:38.000> by 00:04:38.150 --> 00:04:38.160 align:start position:0% increase the fraction of Team blobs by 00:04:38.160 --> 00:04:40.350 align:start position:0% increase the fraction of Team blobs by 10%<00:04:38.800> all<00:04:38.960> the<00:04:39.039> way<00:04:39.199> up<00:04:39.280> to<00:04:39.440> the<00:04:39.600> final<00:04:39.880> one<00:04:40.240> that 00:04:40.350 --> 00:04:40.360 align:start position:0% 10% all the way up to the final one that 00:04:40.360 --> 00:04:43.430 align:start position:0% 10% all the way up to the final one that starts<00:04:40.680> with<00:04:40.880> 90%<00:04:41.560> team<00:04:41.800> blobs<00:04:42.199> and<00:04:42.360> 10%<00:04:42.960> solo 00:04:43.430 --> 00:04:43.440 align:start position:0% starts with 90% team blobs and 10% solo 00:04:43.440 --> 00:04:45.909 align:start position:0% starts with 90% team blobs and 10% solo blobs<00:04:44.440> and<00:04:44.600> here's<00:04:44.880> another<00:04:45.240> opportunity<00:04:45.800> to 00:04:45.909 --> 00:04:45.919 align:start position:0% blobs and here's another opportunity to 00:04:45.919 --> 00:04:49.310 align:start position:0% blobs and here's another opportunity to make<00:04:46.080> a<00:04:46.560> prediction<00:04:47.560> got<00:04:47.759> it<00:04:48.759> all<00:04:48.919> right<00:04:49.120> let's 00:04:49.310 --> 00:04:49.320 align:start position:0% make a prediction got it all right let's 00:04:49.320 --> 00:04:58.550 align:start position:0% make a prediction got it all right let's see<00:04:49.440> how<00:04:49.560> it 00:04:58.550 --> 00:04:58.560 align:start position:0% 00:04:58.560 --> 00:04:59.870 align:start position:0% goes 00:04:59.870 --> 00:04:59.880 align:start position:0% goes 00:04:59.880 --> 00:05:04.590 align:start position:0% goes [Music] 00:05:04.590 --> 00:05:04.600 align:start position:0% 00:05:04.600 --> 00:05:06.990 align:start position:0% so<00:05:04.919> this<00:05:05.039> is<00:05:05.280> interesting<00:05:06.240> in<00:05:06.440> some<00:05:06.639> of<00:05:06.800> these 00:05:06.990 --> 00:05:07.000 align:start position:0% so this is interesting in some of these 00:05:07.000 --> 00:05:09.230 align:start position:0% so this is interesting in some of these simulations<00:05:07.759> the<00:05:07.880> team<00:05:08.160> blobs<00:05:08.560> take<00:05:08.759> over<00:05:09.120> and 00:05:09.230 --> 00:05:09.240 align:start position:0% simulations the team blobs take over and 00:05:09.240 --> 00:05:11.510 align:start position:0% simulations the team blobs take over and in<00:05:09.400> others<00:05:09.840> the<00:05:09.960> solo<00:05:10.280> blobs<00:05:10.680> take<00:05:10.880> over<00:05:11.400> but 00:05:11.510 --> 00:05:11.520 align:start position:0% in others the solo blobs take over but 00:05:11.520 --> 00:05:13.310 align:start position:0% in others the solo blobs take over but it<00:05:11.639> doesn't<00:05:11.880> look<00:05:12.080> random<00:05:12.720> it<00:05:12.840> looks<00:05:13.039> like<00:05:13.199> the 00:05:13.310 --> 00:05:13.320 align:start position:0% it doesn't look random it looks like the 00:05:13.320 --> 00:05:15.029 align:start position:0% it doesn't look random it looks like the solo<00:05:13.680> blobs<00:05:14.039> do<00:05:14.199> better<00:05:14.440> when<00:05:14.600> there<00:05:14.680> are<00:05:14.840> many 00:05:15.029 --> 00:05:15.039 align:start position:0% solo blobs do better when there are many 00:05:15.039 --> 00:05:17.550 align:start position:0% solo blobs do better when there are many other<00:05:15.240> solo<00:05:15.639> blobs<00:05:16.479> and<00:05:16.680> the<00:05:16.800> team<00:05:17.039> blobs<00:05:17.400> do 00:05:17.550 --> 00:05:17.560 align:start position:0% other solo blobs and the team blobs do 00:05:17.560 --> 00:05:18.909 align:start position:0% other solo blobs and the team blobs do better<00:05:17.759> when<00:05:17.880> there<00:05:18.000> are<00:05:18.160> many<00:05:18.360> other<00:05:18.560> team 00:05:18.909 --> 00:05:18.919 align:start position:0% better when there are many other team 00:05:18.919 --> 00:05:22.469 align:start position:0% better when there are many other team blobs<00:05:19.919> so<00:05:20.240> why<00:05:20.400> might<00:05:20.600> this<00:05:20.960> be<00:05:21.960> now<00:05:22.080> it's<00:05:22.319> time 00:05:22.469 --> 00:05:22.479 align:start position:0% blobs so why might this be now it's time 00:05:22.479 --> 00:05:25.990 align:start position:0% blobs so why might this be now it's time for<00:05:22.639> some<00:05:22.880> Game<00:05:23.160> Theory<00:05:24.120> the<00:05:24.360> math<00:05:25.360> and<00:05:25.639> also 00:05:25.990 --> 00:05:26.000 align:start position:0% for some Game Theory the math and also 00:05:26.000 --> 00:05:28.430 align:start position:0% for some Game Theory the math and also some<00:05:26.319> evolutionary<00:05:27.080> Game<00:05:27.360> Theory<00:05:28.120> as<00:05:28.280> you 00:05:28.430 --> 00:05:28.440 align:start position:0% some evolutionary Game Theory as you 00:05:28.440 --> 00:05:29.990 align:start position:0% some evolutionary Game Theory as you might<00:05:28.680> expect<00:05:28.960> from<00:05:29.080> the<00:05:29.199> name<00:05:29.759> they're 00:05:29.990 --> 00:05:30.000 align:start position:0% might expect from the name they're 00:05:30.000 --> 00:05:32.870 align:start position:0% might expect from the name they're related<00:05:30.520> but<00:05:30.720> not<00:05:31.000> quite<00:05:31.240> the<00:05:31.400> same<00:05:32.160> in<00:05:32.479> normal 00:05:32.870 --> 00:05:32.880 align:start position:0% related but not quite the same in normal 00:05:32.880 --> 00:05:34.629 align:start position:0% related but not quite the same in normal game<00:05:33.160> theory<00:05:33.639> we<00:05:33.800> imagine<00:05:34.160> the<00:05:34.280> game<00:05:34.440> is 00:05:34.629 --> 00:05:34.639 align:start position:0% game theory we imagine the game is 00:05:34.639 --> 00:05:36.550 align:start position:0% game theory we imagine the game is between<00:05:34.960> two<00:05:35.240> players<00:05:35.759> and<00:05:35.880> each<00:05:36.120> player<00:05:36.400> can 00:05:36.550 --> 00:05:36.560 align:start position:0% between two players and each player can 00:05:36.560 --> 00:05:38.469 align:start position:0% between two players and each player can choose<00:05:36.960> whichever<00:05:37.280> strategy<00:05:37.919> they<00:05:38.080> want 00:05:38.469 --> 00:05:38.479 align:start position:0% choose whichever strategy they want 00:05:38.479 --> 00:05:40.510 align:start position:0% choose whichever strategy they want trying<00:05:38.720> to<00:05:38.880> get<00:05:39.000> the<00:05:39.160> best<00:05:39.360> reward<00:05:39.720> they<00:05:39.880> can 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just do what their genes tell them to do 00:05:47.240 --> 00:05:49.150 align:start position:0% just do what their genes tell them to do and<00:05:47.479> their<00:05:47.680> reproduction<00:05:48.280> is<00:05:48.440> determined<00:05:49.000> by 00:05:49.150 --> 00:05:49.160 align:start position:0% and their reproduction is determined by 00:05:49.160 --> 00:05:52.029 align:start position:0% and their reproduction is determined by the<00:05:49.800> reward<00:05:50.800> before<00:05:51.120> we<00:05:51.360> really<00:05:51.639> get<00:05:51.800> into 00:05:52.029 --> 00:05:52.039 align:start position:0% the reward before we really get into 00:05:52.039 --> 00:05:53.790 align:start position:0% the reward before we really get into analyzing<00:05:52.560> these<00:05:52.759> rewards<00:05:53.199> there's<00:05:53.360> a<00:05:53.520> couple 00:05:53.790 --> 00:05:53.800 align:start position:0% analyzing these rewards there's a couple 00:05:53.800 --> 00:05:56.230 align:start position:0% analyzing these rewards there's a couple things<00:05:54.000> we<00:05:54.080> can<00:05:54.240> do<00:05:54.400> to<00:05:54.520> make<00:05:54.639> it<00:05:54.919> easier<00:05:55.919> first 00:05:56.230 --> 00:05:56.240 align:start position:0% things we can do to make it easier first 00:05:56.240 --> 00:05:57.909 align:start position:0% things we can do to make it easier first we<00:05:56.319> can<00:05:56.479> ignore<00:05:56.880> this<00:05:57.080> case<00:05:57.319> where<00:05:57.440> the<00:05:57.560> blobs 00:05:57.909 --> 00:05:57.919 align:start position:0% we can ignore this case where the blobs 00:05:57.919 --> 00:06:00.550 align:start position:0% we can ignore this case where the blobs find<00:05:58.120> their<00:05:58.240> own<00:05:58.479> tree<00:05:59.840> that<00:06:00.039> case<00:06:00.280> is 00:06:00.550 --> 00:06:00.560 align:start position:0% find their own tree that case is 00:06:00.560 --> 00:06:02.189 align:start position:0% find their own tree that case is important<00:06:00.919> for<00:06:01.120> helping<00:06:01.400> the<00:06:01.600> population<00:06:02.039> of 00:06:02.189 --> 00:06:02.199 align:start position:0% important for helping the population of 00:06:02.199 --> 00:06:04.110 align:start position:0% important for helping the population of blobs<00:06:02.639> fill<00:06:02.880> up<00:06:03.039> the<00:06:03.160> carrying<00:06:03.560> capacity<00:06:04.000> of 00:06:04.110 --> 00:06:04.120 align:start position:0% blobs fill up the carrying capacity of 00:06:04.120 --> 00:06:05.870 align:start position:0% blobs fill up the carrying capacity of the<00:06:04.240> world<00:06:04.639> but<00:06:04.800> it<00:06:04.960> doesn't<00:06:05.319> have<00:06:05.560> anything 00:06:05.870 --> 00:06:05.880 align:start position:0% the world but it doesn't have anything 00:06:05.880 --> 00:06:07.589 align:start position:0% the world but it doesn't have anything to<00:06:06.000> do<00:06:06.160> with<00:06:06.280> the<00:06:06.479> competition<00:06:07.160> which<00:06:07.280> is<00:06:07.479> what 00:06:07.589 --> 00:06:07.599 align:start position:0% to do with the competition which is what 00:06:07.599 --> 00:06:09.990 align:start position:0% to do with the competition which is what we're<00:06:07.720> trying<00:06:07.880> to<00:06:08.039> focus<00:06:08.400> on<00:06:09.400> and<00:06:09.680> this<00:06:09.840> thing 00:06:09.990 --> 00:06:10.000 align:start position:0% we're trying to focus on and this thing 00:06:10.000 --> 00:06:12.150 align:start position:0% we're trying to focus on and this thing we're<00:06:10.199> left<00:06:10.479> with<00:06:10.680> is<00:06:10.840> called<00:06:11.120> a<00:06:11.400> reward 00:06:12.150 --> 00:06:12.160 align:start position:0% we're left with is called a reward 00:06:12.160 --> 00:06:14.390 align:start position:0% we're left with is called a reward Matrix<00:06:13.160> second<00:06:13.560> it'll<00:06:13.800> be<00:06:13.960> a<00:06:14.039> little<00:06:14.240> bit 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rewards<00:06:22.039> are 00:06:22.189 --> 00:06:22.199 align:start position:0% denominator okay so these rewards are 00:06:22.199 --> 00:06:24.189 align:start position:0% denominator okay so these rewards are for<00:06:22.520> the<00:06:22.680> player<00:06:23.039> on<00:06:23.199> the<00:06:23.360> left<00:06:23.800> so<00:06:23.960> let's 00:06:24.189 --> 00:06:24.199 align:start position:0% for the player on the left so let's 00:06:24.199 --> 00:06:26.029 align:start position:0% for the player on the left so let's think<00:06:24.360> of<00:06:24.479> ourselves<00:06:24.960> in<00:06:25.160> that<00:06:25.400> position<00:06:25.919> with 00:06:26.029 --> 00:06:26.039 align:start position:0% think of ourselves in that position with 00:06:26.039 --> 00:06:28.390 align:start position:0% think of ourselves in that position with the<00:06:26.199> top<00:06:26.440> player<00:06:26.759> as<00:06:26.880> our<00:06:27.120> opponent<00:06:28.039> if<00:06:28.199> your 00:06:28.390 --> 00:06:28.400 align:start position:0% the top player as our opponent if your 00:06:28.400 --> 00:06:30.350 align:start position:0% the top player as our opponent if your opponent<00:06:28.800> is<00:06:28.960> going<00:06:29.160> to<00:06:29.639> cooperate<00:06:30.240> then 00:06:30.350 --> 00:06:30.360 align:start position:0% opponent is going to cooperate then 00:06:30.360 --> 00:06:32.670 align:start position:0% opponent is going to cooperate then you're<00:06:30.599> better<00:06:30.840> off<00:06:31.080> cooperating<00:06:31.599> too<00:06:32.360> seven 00:06:32.670 --> 00:06:32.680 align:start position:0% you're better off cooperating too seven 00:06:32.680 --> 00:06:35.270 align:start position:0% you're better off cooperating too seven is<00:06:32.840> bigger<00:06:33.120> than<00:06:33.319> six<00:06:34.319> and<00:06:34.479> we<00:06:34.599> can<00:06:34.800> record 00:06:35.270 --> 00:06:35.280 align:start position:0% is bigger than six and we can record 00:06:35.280 --> 00:06:37.909 align:start position:0% is bigger than six and we can record this<00:06:35.440> decision<00:06:35.840> with<00:06:35.960> an<00:06:36.280> arrow<00:06:37.280> and<00:06:37.599> since 00:06:37.909 --> 00:06:37.919 align:start position:0% this decision with an arrow and since 00:06:37.919 --> 00:06:39.710 align:start position:0% this decision with an arrow and since this<00:06:38.120> game<00:06:38.319> is<00:06:38.479> symmetrical<00:06:39.240> the<00:06:39.360> same<00:06:39.560> is 00:06:39.710 --> 00:06:39.720 align:start position:0% this game is symmetrical the same is 00:06:39.720 --> 00:06:41.830 align:start position:0% this game is symmetrical the same is true<00:06:40.000> from<00:06:40.199> the<00:06:40.319> opponent's<00:06:40.840> perspective 00:06:41.830 --> 00:06:41.840 align:start position:0% true from the opponent's perspective 00:06:41.840 --> 00:06:43.950 align:start position:0% true from the opponent's perspective this<00:06:42.000> can<00:06:42.160> be<00:06:42.360> a<00:06:42.479> little<00:06:42.759> easier<00:06:43.120> to<00:06:43.280> see<00:06:43.639> if<00:06:43.759> we 00:06:43.950 --> 00:06:43.960 align:start position:0% this can be a little easier to see if we 00:06:43.960 --> 00:06:46.029 align:start position:0% this can be a little easier to see if we extend<00:06:44.400> each<00:06:44.599> entry<00:06:44.919> in<00:06:45.039> the<00:06:45.160> table<00:06:45.560> to<00:06:45.800> also 00:06:46.029 --> 00:06:46.039 align:start position:0% extend each entry in the table to also 00:06:46.039 --> 00:06:47.950 align:start position:0% extend each entry in the table to also show<00:06:46.360> the<00:06:46.520> rewards<00:06:46.919> for<00:06:47.120> the<00:06:47.280> opponent 00:06:47.950 --> 00:06:47.960 align:start position:0% show the rewards for the opponent 00:06:47.960 --> 00:06:49.909 align:start position:0% show the rewards for the opponent there's<00:06:48.199> no<00:06:48.440> new<00:06:48.720> information<00:06:49.319> here<00:06:49.680> but<00:06:49.800> it 00:06:49.909 --> 00:06:49.919 align:start position:0% there's no new information here but it 00:06:49.919 --> 00:06:51.629 align:start position:0% there's no new information here but it makes<00:06:50.120> it<00:06:50.280> a<00:06:50.400> little<00:06:50.599> bit<00:06:50.800> easier<00:06:51.120> to<00:06:51.240> see<00:06:51.520> that 00:06:51.629 --> 00:06:51.639 align:start position:0% makes it a little bit easier to see that 00:06:51.639 --> 00:06:53.589 align:start position:0% makes it a little bit easier to see that the<00:06:51.759> opponent<00:06:52.120> should<00:06:52.440> also<00:06:52.800> cooperate<00:06:53.440> if 00:06:53.589 --> 00:06:53.599 align:start position:0% the opponent should also cooperate if 00:06:53.599 --> 00:06:55.869 align:start position:0% the opponent should also cooperate if we're<00:06:53.880> going<00:06:54.039> to<00:06:54.240> cooperate<00:06:55.240> again<00:06:55.599> because 00:06:55.869 --> 00:06:55.879 align:start position:0% we're going to cooperate again because 00:06:55.879 --> 00:06:58.629 align:start position:0% we're going to cooperate again because seven<00:06:56.360> is<00:06:56.520> bigger<00:06:56.800> than<00:06:57.120> six<00:06:58.120> this<00:06:58.280> kind<00:06:58.440> of 00:06:58.629 --> 00:06:58.639 align:start position:0% seven is bigger than six this kind of 00:06:58.639 --> 00:07:00.510 align:start position:0% seven is bigger than six this kind of situation<00:06:59.080> where<00:06:59.479> neither<00:06:59.800> player<00:07:00.120> benefits 00:07:00.510 --> 00:07:00.520 align:start position:0% situation where neither player benefits 00:07:00.520 --> 00:07:02.589 align:start position:0% situation where neither player benefits from<00:07:00.680> switching<00:07:01.160> is<00:07:01.319> called<00:07:01.560> a<00:07:01.720> Nash 00:07:02.589 --> 00:07:02.599 align:start position:0% from switching is called a Nash 00:07:02.599 --> 00:07:05.150 align:start position:0% from switching is called a Nash equilibrium<00:07:03.599> in<00:07:03.800> my<00:07:04.160> humble<00:07:04.520> opinion<00:07:05.039> the 00:07:05.150 --> 00:07:05.160 align:start position:0% equilibrium in my humble opinion the 00:07:05.160 --> 00:07:07.110 align:start position:0% equilibrium in my humble opinion the reward<00:07:05.520> Matrix<00:07:05.919> looks<00:07:06.199> a<00:07:06.319> bit<00:07:06.520> cluttered<00:07:07.000> this 00:07:07.110 --> 00:07:07.120 align:start position:0% reward Matrix looks a bit cluttered this 00:07:07.120 --> 00:07:09.230 align:start position:0% reward Matrix looks a bit cluttered this way<00:07:07.720> and<00:07:07.960> these<00:07:08.120> two<00:07:08.319> arrows<00:07:08.639> are<00:07:08.840> really<00:07:09.080> the 00:07:09.230 --> 00:07:09.240 align:start position:0% way and these two arrows are really the 00:07:09.240 --> 00:07:11.309 align:start position:0% way and these two arrows are really the same<00:07:09.560> Arrow<00:07:10.120> so<00:07:10.360> we<00:07:10.479> only<00:07:10.680> need<00:07:10.919> one<00:07:11.039> of<00:07:11.199> them 00:07:11.309 --> 00:07:11.319 align:start position:0% same Arrow so we only need one of them 00:07:11.319 --> 00:07:13.189 align:start position:0% same Arrow so we only need one of them to<00:07:11.479> see<00:07:11.680> that<00:07:11.879> this<00:07:12.080> situation<00:07:12.720> with<00:07:12.960> both 00:07:13.189 --> 00:07:13.199 align:start position:0% to see that this situation with both 00:07:13.199 --> 00:07:15.350 align:start position:0% to see that this situation with both blobs<00:07:13.680> working<00:07:14.120> together<00:07:14.400> as<00:07:14.479> a<00:07:14.639> team<00:07:15.000> is<00:07:15.120> a 00:07:15.350 --> 00:07:15.360 align:start position:0% blobs working together as a team is a 00:07:15.360 --> 00:07:17.550 align:start position:0% blobs working together as a team is a Nash<00:07:15.639> equilibrium<00:07:16.639> so<00:07:16.919> let's<00:07:17.120> go<00:07:17.280> back<00:07:17.400> to 00:07:17.550 --> 00:07:17.560 align:start position:0% Nash equilibrium so let's go back to 00:07:17.560 --> 00:07:20.710 align:start position:0% Nash equilibrium so let's go back to just<00:07:17.720> showing<00:07:18.080> each<00:07:18.319> reward<00:07:18.759> one<00:07:19.400> time<00:07:20.400> so 00:07:20.710 --> 00:07:20.720 align:start position:0% just showing each reward one time so 00:07:20.720 --> 00:07:22.070 align:start position:0% just showing each reward one time so what<00:07:20.840> if<00:07:20.960> your<00:07:21.160> opponent<00:07:21.520> is<00:07:21.680> going<00:07:21.759> to<00:07:21.919> go 00:07:22.070 --> 00:07:22.080 align:start position:0% what if your opponent is going to go 00:07:22.080 --> 00:07:24.629 align:start position:0% what if your opponent is going to go solo<00:07:23.000> well<00:07:23.440> you're<00:07:23.599> better<00:07:23.840> off<00:07:24.120> also<00:07:24.360> going 00:07:24.629 --> 00:07:24.639 align:start position:0% solo well you're better off also going 00:07:24.639 --> 00:07:26.710 align:start position:0% solo well you're better off also going solo<00:07:25.160> even<00:07:25.400> though<00:07:25.520> you'll<00:07:25.720> get<00:07:25.840> in<00:07:25.960> a<00:07:26.120> fight 00:07:26.710 --> 00:07:26.720 align:start position:0% solo even though you'll get in a fight 00:07:26.720 --> 00:07:28.390 align:start position:0% solo even though you'll get in a fight and<00:07:26.919> again<00:07:27.319> the<00:07:27.440> same<00:07:27.680> is<00:07:27.840> true<00:07:28.080> from<00:07:28.280> the 00:07:28.390 --> 00:07:28.400 align:start position:0% and again the same is true from the 00:07:28.400 --> 00:07:29.830 align:start position:0% and again the same is true from the opponent's<00:07:28.879> perspective 00:07:29.830 --> 00:07:29.840 align:start position:0% opponent's perspective 00:07:29.840 --> 00:07:31.790 align:start position:0% opponent's perspective so<00:07:30.160> the<00:07:30.319> case<00:07:30.520> where<00:07:30.720> both<00:07:30.960> players<00:07:31.280> fight<00:07:31.599> is 00:07:31.790 --> 00:07:31.800 align:start position:0% so the case where both players fight is 00:07:31.800 --> 00:07:34.790 align:start position:0% so the case where both players fight is also<00:07:32.039> a<00:07:32.199> Nash<00:07:32.879> equilibrium<00:07:33.879> usually<00:07:34.400> the<00:07:34.560> best 00:07:34.790 --> 00:07:34.800 align:start position:0% also a Nash equilibrium usually the best 00:07:34.800 --> 00:07:36.270 align:start position:0% also a Nash equilibrium usually the best plan<00:07:35.080> is<00:07:35.160> to<00:07:35.360> play<00:07:35.560> toward<00:07:35.879> the<00:07:35.960> Nash 00:07:36.270 --> 00:07:36.280 align:start position:0% plan is to play toward the Nash 00:07:36.280 --> 00:07:38.469 align:start position:0% plan is to play toward the Nash equilibrium<00:07:37.000> if<00:07:37.160> there<00:07:37.280> is<00:07:37.520> one<00:07:38.000> but<00:07:38.160> in<00:07:38.319> this 00:07:38.469 --> 00:07:38.479 align:start position:0% equilibrium if there is one but in this 00:07:38.479 --> 00:07:40.790 align:start position:0% equilibrium if there is one but in this case<00:07:38.680> there<00:07:38.759> are<00:07:38.960> two<00:07:39.199> of<00:07:39.360> them<00:07:39.960> so<00:07:40.479> which<00:07:40.639> one 00:07:40.790 --> 00:07:40.800 align:start position:0% case there are two of them so which one 00:07:40.800 --> 00:07:43.150 align:start position:0% case there are two of them so which one should<00:07:41.000> you<00:07:41.160> choose<00:07:42.120> you're<00:07:42.319> best<00:07:42.560> off<00:07:42.800> doing 00:07:43.150 --> 00:07:43.160 align:start position:0% should you choose you're best off doing 00:07:43.160 --> 00:07:44.790 align:start position:0% should you choose you're best off doing the<00:07:43.280> same<00:07:43.560> thing<00:07:43.759> your<00:07:43.960> opponent<00:07:44.360> is<00:07:44.520> going<00:07:44.680> to 00:07:44.790 --> 00:07:44.800 align:start position:0% the same thing your opponent is going to 00:07:44.800 --> 00:07:46.749 align:start position:0% the same thing your opponent is going to do<00:07:45.199> but<00:07:45.520> it's<00:07:45.680> not<00:07:45.879> clear<00:07:46.199> which<00:07:46.319> one<00:07:46.520> they'll 00:07:46.749 --> 00:07:46.759 align:start position:0% do but it's not clear which one they'll 00:07:46.759 --> 00:07:49.270 align:start position:0% do but it's not clear which one they'll choose<00:07:47.479> so<00:07:47.840> it's<00:07:48.000> not<00:07:48.199> clear<00:07:48.720> which<00:07:48.879> one<00:07:49.159> you 00:07:49.270 --> 00:07:49.280 align:start position:0% choose so it's not clear which one you 00:07:49.280 --> 00:07:51.589 align:start position:0% choose so it's not clear which one you should<00:07:49.520> choose<00:07:50.400> to<00:07:50.639> decide<00:07:51.120> you<00:07:51.240> might<00:07:51.440> have 00:07:51.589 --> 00:07:51.599 align:start position:0% should choose to decide you might have 00:07:51.599 --> 00:07:53.990 align:start position:0% should choose to decide you might have to<00:07:51.759> resort<00:07:52.120> to<00:07:52.360> psychology<00:07:53.080> or<00:07:53.440> some<00:07:53.720> other 00:07:53.990 --> 00:07:54.000 align:start position:0% to resort to psychology or some other 00:07:54.000 --> 00:07:56.550 align:start position:0% to resort to psychology or some other aspect<00:07:54.319> of<00:07:54.440> the<00:07:55.039> situation<00:07:56.039> now<00:07:56.280> for 00:07:56.550 --> 00:07:56.560 align:start position:0% aspect of the situation now for 00:07:56.560 --> 00:07:58.510 align:start position:0% aspect of the situation now for evolutionary<00:07:57.280> Game<00:07:57.560> Theory<00:07:57.960> we<00:07:58.080> saw<00:07:58.280> in<00:07:58.360> the 00:07:58.510 --> 00:07:58.520 align:start position:0% evolutionary Game Theory we saw in the 00:07:58.520 --> 00:08:00.469 align:start position:0% evolutionary Game Theory we saw in the simulation<00:07:59.080> that<00:07:59.440> when<00:07:59.680> the<00:07:59.840> population<00:08:00.319> is 00:08:00.469 --> 00:08:00.479 align:start position:0% simulation that when the population is 00:08:00.479 --> 00:08:02.670 align:start position:0% simulation that when the population is full<00:08:00.680> of<00:08:00.840> one<00:08:01.039> kind<00:08:01.199> of<00:08:01.360> creature<00:08:02.120> that<00:08:02.360> kind 00:08:02.670 --> 00:08:02.680 align:start position:0% full of one kind of creature that kind 00:08:02.680 --> 00:08:04.950 align:start position:0% full of one kind of creature that kind does<00:08:02.960> well<00:08:03.759> the<00:08:03.919> population<00:08:04.479> essentially 00:08:04.950 --> 00:08:04.960 align:start position:0% does well the population essentially 00:08:04.960 --> 00:08:06.950 align:start position:0% does well the population essentially ends<00:08:05.240> up<00:08:05.400> at<00:08:05.520> a<00:08:05.639> Nash<00:08:06.000> equilibrium<00:08:06.720> by 00:08:06.950 --> 00:08:06.960 align:start position:0% ends up at a Nash equilibrium by 00:08:06.960 --> 00:08:09.510 align:start position:0% ends up at a Nash equilibrium by accident<00:08:07.599> rather<00:08:07.840> than<00:08:08.000> by<00:08:08.280> analysis<00:08:09.280> if<00:08:09.400> a 00:08:09.510 --> 00:08:09.520 align:start position:0% accident rather than by analysis if a 00:08:09.520 --> 00:08:10.990 align:start position:0% accident rather than by analysis if a mutant<00:08:09.840> shows<00:08:10.080> up<00:08:10.240> and<00:08:10.319> starts<00:08:10.599> playing<00:08:10.879> a 00:08:10.990 --> 00:08:11.000 align:start position:0% mutant shows up and starts playing a 00:08:11.000 --> 00:08:12.909 align:start position:0% mutant shows up and starts playing a different<00:08:11.319> strategy<00:08:11.960> it<00:08:12.120> doesn't<00:08:12.400> gain<00:08:12.599> an 00:08:12.909 --> 00:08:12.919 align:start position:0% different strategy it doesn't gain an 00:08:12.919 --> 00:08:15.390 align:start position:0% different strategy it doesn't gain an advantage<00:08:13.919> a<00:08:14.120> strategy<00:08:14.599> with<00:08:14.759> this<00:08:14.960> property 00:08:15.390 --> 00:08:15.400 align:start position:0% advantage a strategy with this property 00:08:15.400 --> 00:08:17.710 align:start position:0% advantage a strategy with this property is<00:08:15.560> called<00:08:15.759> an<00:08:16.000> evolutionarily<00:08:17.000> stable 00:08:17.710 --> 00:08:17.720 align:start position:0% is called an evolutionarily stable 00:08:17.720 --> 00:08:20.270 align:start position:0% is called an evolutionarily stable strategy<00:08:18.720> this<00:08:18.840> is<00:08:19.080> a<00:08:19.319> pretty<00:08:19.639> significant 00:08:20.270 --> 00:08:20.280 align:start position:0% strategy this is a pretty significant 00:08:20.280 --> 00:08:22.909 align:start position:0% strategy this is a pretty significant concept<00:08:21.000> for<00:08:21.319> a<00:08:21.520> genetic<00:08:21.919> Behavior<00:08:22.440> to<00:08:22.720> take 00:08:22.909 --> 00:08:22.919 align:start position:0% concept for a genetic Behavior to take 00:08:22.919 --> 00:08:25.430 align:start position:0% concept for a genetic Behavior to take over<00:08:23.159> a<00:08:23.400> population<00:08:23.960> and<00:08:24.199> stay<00:08:24.599> dominant<00:08:25.319> it 00:08:25.430 --> 00:08:25.440 align:start position:0% over a population and stay dominant it 00:08:25.440 --> 00:08:27.430 align:start position:0% over a population and stay dominant it needs<00:08:25.680> to<00:08:25.800> be<00:08:25.960> part<00:08:26.159> of<00:08:26.280> an<00:08:26.520> evolutionarily 00:08:27.430 --> 00:08:27.440 align:start position:0% needs to be part of an evolutionarily 00:08:27.440 --> 00:08:29.749 align:start position:0% needs to be part of an evolutionarily stable<00:08:27.879> strategy<00:08:28.680> in<00:08:28.800> this<00:08:28.960> case<00:08:29.440> both 00:08:29.749 --> 00:08:29.759 align:start position:0% stable strategy in this case both 00:08:29.759 --> 00:08:32.110 align:start position:0% stable strategy in this case both strategies<00:08:30.199> are<00:08:30.440> evolutionarily<00:08:31.199> stable<00:08:31.800> so 00:08:32.110 --> 00:08:32.120 align:start position:0% strategies are evolutionarily stable so 00:08:32.120 --> 00:08:33.870 align:start position:0% strategies are evolutionarily stable so whichever<00:08:32.479> one<00:08:32.599> of<00:08:32.760> them<00:08:32.919> gets<00:08:33.080> a<00:08:33.279> lead<00:08:33.680> ends 00:08:33.870 --> 00:08:33.880 align:start position:0% whichever one of them gets a lead ends 00:08:33.880 --> 00:08:36.230 align:start position:0% whichever one of them gets a lead ends up<00:08:34.120> dominating<00:08:34.599> the<00:08:34.880> population<00:08:35.880> there's 00:08:36.230 --> 00:08:36.240 align:start position:0% up dominating the population there's 00:08:36.240 --> 00:08:38.230 align:start position:0% up dominating the population there's some<00:08:36.560> crossover<00:08:37.080> point<00:08:37.360> where<00:08:37.519> the<00:08:37.680> situation 00:08:38.230 --> 00:08:38.240 align:start position:0% some crossover point where the situation 00:08:38.240 --> 00:08:40.269 align:start position:0% some crossover point where the situation goes<00:08:38.519> from<00:08:38.719> favoring<00:08:39.200> one<00:08:39.440> type<00:08:39.680> to<00:08:39.839> favoring 00:08:40.269 --> 00:08:40.279 align:start position:0% goes from favoring one type to favoring 00:08:40.279 --> 00:08:42.389 align:start position:0% goes from favoring one type to favoring the<00:08:40.399> other<00:08:41.120> and<00:08:41.279> we<00:08:41.399> can<00:08:41.599> actually<00:08:41.959> calculate 00:08:42.389 --> 00:08:42.399 align:start position:0% the other and we can actually calculate 00:08:42.399 --> 00:08:44.509 align:start position:0% the other and we can actually calculate that<00:08:42.560> crossover<00:08:43.080> Point<00:08:43.399> based<00:08:43.640> on<00:08:43.760> the<00:08:43.880> reward 00:08:44.509 --> 00:08:44.519 align:start position:0% that crossover Point based on the reward 00:08:44.519 --> 00:08:46.710 align:start position:0% that crossover Point based on the reward Matrix<00:08:45.519> but<00:08:45.760> before<00:08:46.000> we<00:08:46.160> do<00:08:46.320> that<00:08:46.480> more 00:08:46.710 --> 00:08:46.720 align:start position:0% Matrix but before we do that more 00:08:46.720 --> 00:08:48.550 align:start position:0% Matrix but before we do that more General<00:08:47.120> calculation<00:08:47.720> it'll<00:08:47.920> be<00:08:48.040> useful<00:08:48.399> to 00:08:48.550 --> 00:08:48.560 align:start position:0% General calculation it'll be useful to 00:08:48.560 --> 00:08:50.829 align:start position:0% General calculation it'll be useful to try<00:08:48.760> a<00:08:48.839> few<00:08:49.080> more<00:08:49.360> specific<00:08:49.839> variations<00:08:50.680> and 00:08:50.829 --> 00:08:50.839 align:start position:0% try a few more specific variations and 00:08:50.839 --> 00:08:52.509 align:start position:0% try a few more specific variations and see<00:08:51.120> what<00:08:51.279> other<00:08:51.480> kinds<00:08:51.680> of<00:08:51.880> possibilities 00:08:52.509 --> 00:08:52.519 align:start position:0% see what other kinds of possibilities 00:08:52.519 --> 00:08:54.790 align:start position:0% see what other kinds of possibilities there<00:08:52.680> are<00:08:53.440> so<00:08:53.640> let's<00:08:53.880> copy<00:08:54.160> this<00:08:54.320> Matrix<00:08:54.640> and 00:08:54.790 --> 00:08:54.800 align:start position:0% there are so let's copy this Matrix and 00:08:54.800 --> 00:08:57.030 align:start position:0% there are so let's copy this Matrix and make<00:08:54.920> a<00:08:55.120> variation<00:08:56.120> one<00:08:56.279> thing<00:08:56.480> we<00:08:56.600> could<00:08:56.760> do 00:08:57.030 --> 00:08:57.040 align:start position:0% make a variation one thing we could do 00:08:57.040 --> 00:08:58.750 align:start position:0% make a variation one thing we could do is<00:08:57.160> to<00:08:57.320> make<00:08:57.480> the<00:08:57.560> mangoes<00:08:58.040> harder<00:08:58.360> to<00:08:58.519> shake 00:08:58.750 --> 00:08:58.760 align:start position:0% is to make the mangoes harder to shake 00:08:58.760 --> 00:09:00.790 align:start position:0% is to make the mangoes harder to shake out<00:08:58.880> of<00:08:58.959> the<00:08:59.200> trees<00:08:59.720> reducing<00:09:00.120> the<00:09:00.240> payoff<00:09:00.640> of 00:09:00.790 --> 00:09:00.800 align:start position:0% out of the trees reducing the payoff of 00:09:00.800 --> 00:09:03.269 align:start position:0% out of the trees reducing the payoff of working<00:09:01.120> as<00:09:01.240> a<00:09:01.519> team<00:09:02.519> now<00:09:02.720> if<00:09:02.800> you're<00:09:02.959> matched 00:09:03.269 --> 00:09:03.279 align:start position:0% working as a team now if you're matched 00:09:03.279 --> 00:09:04.949 align:start position:0% working as a team now if you're matched up<00:09:03.440> with<00:09:03.519> the<00:09:03.640> team<00:09:03.880> blob<00:09:04.279> your<00:09:04.519> reward<00:09:04.839> is 00:09:04.949 --> 00:09:04.959 align:start position:0% up with the team blob your reward is 00:09:04.959 --> 00:09:06.670 align:start position:0% up with the team blob your reward is going<00:09:05.079> to<00:09:05.200> be<00:09:05.360> the<00:09:05.519> same<00:09:05.880> whether<00:09:06.120> you<00:09:06.360> also 00:09:06.670 --> 00:09:06.680 align:start position:0% going to be the same whether you also 00:09:06.680 --> 00:09:09.590 align:start position:0% going to be the same whether you also act<00:09:06.880> like<00:09:07.000> a<00:09:07.160> team<00:09:07.360> blob<00:09:07.760> or<00:09:08.160> like<00:09:08.399> a<00:09:08.640> solo<00:09:09.000> blob 00:09:09.590 --> 00:09:09.600 align:start position:0% act like a team blob or like a solo blob 00:09:09.600 --> 00:09:11.230 align:start position:0% act like a team blob or like a solo blob teamwork<00:09:10.000> is<00:09:10.120> still<00:09:10.399> technically<00:09:10.760> a<00:09:10.880> nasty 00:09:11.230 --> 00:09:11.240 align:start position:0% teamwork is still technically a nasty 00:09:11.240 --> 00:09:13.110 align:start position:0% teamwork is still technically a nasty equilibrium<00:09:11.800> here<00:09:12.079> because<00:09:12.480> if<00:09:12.680> both<00:09:12.880> are 00:09:13.110 --> 00:09:13.120 align:start position:0% equilibrium here because if both are 00:09:13.120 --> 00:09:14.829 align:start position:0% equilibrium here because if both are cooperating<00:09:13.839> neither<00:09:14.200> benefits<00:09:14.640> from 00:09:14.829 --> 00:09:14.839 align:start position:0% cooperating neither benefits from 00:09:14.839 --> 00:09:16.870 align:start position:0% cooperating neither benefits from switching<00:09:15.720> but<00:09:15.959> even<00:09:16.200> though<00:09:16.320> you<00:09:16.440> don't<00:09:16.640> do 00:09:16.870 --> 00:09:16.880 align:start position:0% switching but even though you don't do 00:09:16.880 --> 00:09:18.910 align:start position:0% switching but even though you don't do better<00:09:17.200> by<00:09:17.360> switching<00:09:17.880> you<00:09:18.000> don't<00:09:18.200> do<00:09:18.480> worse 00:09:18.910 --> 00:09:18.920 align:start position:0% better by switching you don't do worse 00:09:18.920 --> 00:09:21.269 align:start position:0% better by switching you don't do worse either<00:09:19.800> this<00:09:19.880> is<00:09:20.040> called<00:09:20.279> a<00:09:20.480> weak<00:09:20.880> Nash 00:09:21.269 --> 00:09:21.279 align:start position:0% either this is called a weak Nash 00:09:21.279 --> 00:09:23.630 align:start position:0% either this is called a weak Nash equilibrium<00:09:22.279> and<00:09:22.440> if<00:09:22.560> you<00:09:22.720> do<00:09:22.959> do<00:09:23.240> worse<00:09:23.480> by 00:09:23.630 --> 00:09:23.640 align:start position:0% equilibrium and if you do do worse by 00:09:23.640 --> 00:09:25.269 align:start position:0% equilibrium and if you do do worse by switching<00:09:24.040> it's<00:09:24.200> called<00:09:24.399> a<00:09:24.720> strong<00:09:24.920> Nash 00:09:25.269 --> 00:09:25.279 align:start position:0% switching it's called a strong Nash 00:09:25.279 --> 00:09:27.509 align:start position:0% switching it's called a strong Nash equilibrium<00:09:26.120> frankly<00:09:26.640> I<00:09:26.839> think<00:09:27.079> these<00:09:27.279> names 00:09:27.509 --> 00:09:27.519 align:start position:0% equilibrium frankly I think these names 00:09:27.519 --> 00:09:29.790 align:start position:0% equilibrium frankly I think these names are<00:09:27.760> a<00:09:27.880> little<00:09:28.079> bit<00:09:28.279> confusing<00:09:28.880> but<00:09:29.240> you<00:09:29.560> do 00:09:29.790 --> 00:09:29.800 align:start position:0% are a little bit confusing but you do 00:09:29.800 --> 00:09:32.110 align:start position:0% are a little bit confusing but you do get<00:09:29.920> used<00:09:30.120> to<00:09:30.279> them<00:09:30.440> over<00:09:30.720> time<00:09:31.720> all<00:09:31.880> right 00:09:32.110 --> 00:09:32.120 align:start position:0% get used to them over time all right 00:09:32.120 --> 00:09:34.430 align:start position:0% get used to them over time all right time<00:09:32.279> for<00:09:32.399> a<00:09:32.519> couple<00:09:32.760> more<00:09:33.200> simulations<00:09:34.200> but 00:09:34.430 --> 00:09:34.440 align:start position:0% time for a couple more simulations but 00:09:34.440 --> 00:09:36.150 align:start position:0% time for a couple more simulations but first<00:09:34.920> try<00:09:35.200> pausing<00:09:35.560> to<00:09:35.720> guess<00:09:35.920> what<00:09:36.040> the 00:09:36.150 --> 00:09:36.160 align:start position:0% first try pausing to guess what the 00:09:36.160 --> 00:09:41.990 align:start position:0% first try pausing to guess what the results<00:09:36.440> will<00:09:36.640> look 00:09:41.990 --> 00:09:42.000 align:start position:0% 00:09:42.000 --> 00:09:44.150 align:start position:0% like<00:09:43.000> okay<00:09:43.240> it<00:09:43.399> looks<00:09:43.640> like<00:09:43.800> if<00:09:43.959> the 00:09:44.150 --> 00:09:44.160 align:start position:0% like okay it looks like if the 00:09:44.160 --> 00:09:46.310 align:start position:0% like okay it looks like if the population<00:09:44.600> is<00:09:44.760> full<00:09:44.959> of<00:09:45.240> solo<00:09:45.600> blobs<00:09:46.079> it 00:09:46.310 --> 00:09:46.320 align:start position:0% population is full of solo blobs it 00:09:46.320 --> 00:09:48.509 align:start position:0% population is full of solo blobs it stays<00:09:46.680> that<00:09:46.839> way<00:09:47.399> so<00:09:47.600> in<00:09:47.760> this<00:09:47.959> case<00:09:48.200> being<00:09:48.399> a 00:09:48.509 --> 00:09:48.519 align:start position:0% stays that way so in this case being a 00:09:48.519 --> 00:09:50.910 align:start position:0% stays that way so in this case being a solo<00:09:48.880> blob<00:09:49.279> is<00:09:49.399> an<00:09:49.640> evolutionarily<00:09:50.440> stable 00:09:50.910 --> 00:09:50.920 align:start position:0% solo blob is an evolutionarily stable 00:09:50.920 --> 00:09:53.750 align:start position:0% solo blob is an evolutionarily stable strategy<00:09:51.920> and<00:09:52.079> for<00:09:52.279> teamwork<00:09:52.880> it<00:09:53.360> mostly 00:09:53.750 --> 00:09:53.760 align:start position:0% strategy and for teamwork it mostly 00:09:53.760 --> 00:09:55.630 align:start position:0% strategy and for teamwork it mostly looks<00:09:54.000> like<00:09:54.200> it's<00:09:54.440> not<00:09:54.680> an<00:09:54.920> evolutionarily 00:09:55.630 --> 00:09:55.640 align:start position:0% looks like it's not an evolutionarily 00:09:55.640 --> 00:09:58.030 align:start position:0% looks like it's not an evolutionarily stable<00:09:56.040> strategy<00:09:57.000> though<00:09:57.279> there<00:09:57.440> is<00:09:57.640> this<00:09:57.800> one 00:09:58.030 --> 00:09:58.040 align:start position:0% stable strategy though there is this one 00:09:58.040 --> 00:10:00.190 align:start position:0% stable strategy though there is this one world<00:09:58.399> that<00:09:58.560> started<00:09:58.959> with<00:09:59.120> with<00:09:59.279> 90%<00:09:59.920> team 00:10:00.190 --> 00:10:00.200 align:start position:0% world that started with with 90% team 00:10:00.200 --> 00:10:02.230 align:start position:0% world that started with with 90% team blobs<00:10:00.760> and<00:10:00.920> it<00:10:01.160> pretty<00:10:01.360> much<00:10:01.560> stayed<00:10:01.920> that<00:10:02.040> way 00:10:02.230 --> 00:10:02.240 align:start position:0% blobs and it pretty much stayed that way 00:10:02.240 --> 00:10:03.670 align:start position:0% blobs and it pretty much stayed that way for<00:10:02.440> the<00:10:02.560> 50 00:10:03.670 --> 00:10:03.680 align:start position:0% for the 50 00:10:03.680 --> 00:10:06.190 align:start position:0% for the 50 days<00:10:04.680> since<00:10:04.959> teamwork<00:10:05.399> is<00:10:05.519> still<00:10:05.720> a<00:10:05.880> Nash 00:10:06.190 --> 00:10:06.200 align:start position:0% days since teamwork is still a Nash 00:10:06.200 --> 00:10:08.829 align:start position:0% days since teamwork is still a Nash equilibrium<00:10:06.839> if<00:10:06.959> a<00:10:07.160> weak<00:10:07.399> one<00:10:07.839> solo<00:10:08.240> blobs<00:10:08.640> in 00:10:08.829 --> 00:10:08.839 align:start position:0% equilibrium if a weak one solo blobs in 00:10:08.839 --> 00:10:10.870 align:start position:0% equilibrium if a weak one solo blobs in a<00:10:09.040> sea<00:10:09.440> of<00:10:09.560> Team<00:10:09.839> blobs<00:10:10.200> don't<00:10:10.440> really<00:10:10.680> have 00:10:10.870 --> 00:10:10.880 align:start position:0% a sea of Team blobs don't really have 00:10:10.880 --> 00:10:13.110 align:start position:0% a sea of Team blobs don't really have much<00:10:11.040> of<00:10:11.160> an<00:10:11.360> advantage<00:10:12.360> but<00:10:12.519> the<00:10:12.640> more<00:10:12.800> solo 00:10:13.110 --> 00:10:13.120 align:start position:0% much of an advantage but the more solo 00:10:13.120 --> 00:10:15.190 align:start position:0% much of an advantage but the more solo blobs<00:10:13.519> there<00:10:13.640> are<00:10:14.079> the<00:10:14.200> more<00:10:14.360> of<00:10:14.480> an<00:10:14.640> advantage 00:10:15.190 --> 00:10:15.200 align:start position:0% blobs there are the more of an advantage 00:10:15.200 --> 00:10:17.509 align:start position:0% blobs there are the more of an advantage they<00:10:15.440> have<00:10:16.200> so<00:10:16.519> as<00:10:16.640> long<00:10:16.760> as<00:10:16.920> it's<00:10:17.200> possible 00:10:17.509 --> 00:10:17.519 align:start position:0% they have so as long as it's possible 00:10:17.519 --> 00:10:19.590 align:start position:0% they have so as long as it's possible for<00:10:17.680> a<00:10:17.800> team<00:10:18.079> blob<00:10:18.440> to<00:10:18.640> produce<00:10:18.920> an<00:10:19.079> offspring 00:10:19.590 --> 00:10:19.600 align:start position:0% for a team blob to produce an offspring 00:10:19.600 --> 00:10:21.750 align:start position:0% for a team blob to produce an offspring that's<00:10:19.760> a<00:10:19.920> solo<00:10:20.279> blob<00:10:20.600> through<00:10:20.760> a<00:10:20.920> mutation 00:10:21.750 --> 00:10:21.760 align:start position:0% that's a solo blob through a mutation 00:10:21.760 --> 00:10:23.350 align:start position:0% that's a solo blob through a mutation then<00:10:22.000> it's<00:10:22.160> just<00:10:22.320> a<00:10:22.440> matter<00:10:22.680> of<00:10:22.839> time<00:10:23.160> until 00:10:23.350 --> 00:10:23.360 align:start position:0% then it's just a matter of time until 00:10:23.360 --> 00:10:26.190 align:start position:0% then it's just a matter of time until the<00:10:23.480> solo<00:10:23.800> blobs<00:10:24.200> take<00:10:24.399> over<00:10:25.279> so<00:10:25.600> teamwork 00:10:26.190 --> 00:10:26.200 align:start position:0% the solo blobs take over so teamwork 00:10:26.200 --> 00:10:28.389 align:start position:0% the solo blobs take over so teamwork isn't<00:10:26.519> an<00:10:26.720> evolutionarily<00:10:27.519> stable<00:10:27.920> strategy 00:10:28.389 --> 00:10:28.399 align:start position:0% isn't an evolutionarily stable strategy 00:10:28.399 --> 00:10:31.630 align:start position:0% isn't an evolutionarily stable strategy here<00:10:28.640> even<00:10:28.839> though<00:10:29.240> it's<00:10:29.600> kind<00:10:29.760> of<00:10:30.320> close<00:10:31.320> so 00:10:31.630 --> 00:10:31.640 align:start position:0% here even though it's kind of close so 00:10:31.640 --> 00:10:33.590 align:start position:0% here even though it's kind of close so that's<00:10:31.880> one<00:10:32.160> variation<00:10:32.959> and<00:10:33.120> we<00:10:33.240> could<00:10:33.360> make 00:10:33.590 --> 00:10:33.600 align:start position:0% that's one variation and we could make 00:10:33.600 --> 00:10:35.670 align:start position:0% that's one variation and we could make another<00:10:34.000> variation<00:10:34.600> making<00:10:35.000> cooperation 00:10:35.670 --> 00:10:35.680 align:start position:0% another variation making cooperation 00:10:35.680 --> 00:10:38.350 align:start position:0% another variation making cooperation even<00:10:36.000> less<00:10:36.360> beneficial<00:10:37.360> so<00:10:37.600> for<00:10:37.800> this<00:10:37.959> Matrix 00:10:38.350 --> 00:10:38.360 align:start position:0% even less beneficial so for this Matrix 00:10:38.360 --> 00:10:40.269 align:start position:0% even less beneficial so for this Matrix you're<00:10:38.519> better<00:10:38.760> off<00:10:38.959> going<00:10:39.200> solo<00:10:39.800> regardless 00:10:40.269 --> 00:10:40.279 align:start position:0% you're better off going solo regardless 00:10:40.279 --> 00:10:42.190 align:start position:0% you're better off going solo regardless of<00:10:40.440> what<00:10:40.560> your<00:10:40.720> opponent<00:10:41.079> is<00:10:41.200> doing<00:10:41.959> both 00:10:42.190 --> 00:10:42.200 align:start position:0% of what your opponent is doing both 00:10:42.200 --> 00:10:44.230 align:start position:0% of what your opponent is doing both blobs<00:10:42.639> fighting<00:10:43.079> is<00:10:43.240> still<00:10:43.440> a<00:10:43.720> strong<00:10:43.880> Nash 00:10:44.230 --> 00:10:44.240 align:start position:0% blobs fighting is still a strong Nash 00:10:44.240 --> 00:10:46.430 align:start position:0% blobs fighting is still a strong Nash equilibrium<00:10:44.959> and<00:10:45.279> teamwork<00:10:45.800> isn't<00:10:46.079> even<00:10:46.279> a 00:10:46.430 --> 00:10:46.440 align:start position:0% equilibrium and teamwork isn't even a 00:10:46.440 --> 00:10:48.990 align:start position:0% equilibrium and teamwork isn't even a weak<00:10:46.680> Nash<00:10:47.120> equilibrium<00:10:48.120> for<00:10:48.320> this<00:10:48.440> one<00:10:48.720> it 00:10:48.990 --> 00:10:49.000 align:start position:0% weak Nash equilibrium for this one it 00:10:49.000 --> 00:10:50.670 align:start position:0% weak Nash equilibrium for this one it seems<00:10:49.440> kind<00:10:49.600> of<00:10:49.839> obvious<00:10:50.240> what's<00:10:50.399> going<00:10:50.480> to 00:10:50.670 --> 00:10:50.680 align:start position:0% seems kind of obvious what's going to 00:10:50.680 --> 00:10:52.910 align:start position:0% seems kind of obvious what's going to happen<00:10:51.120> the<00:10:51.240> solo<00:10:51.560> blobs<00:10:52.000> just<00:10:52.399> have<00:10:52.560> an 00:10:52.910 --> 00:10:52.920 align:start position:0% happen the solo blobs just have an 00:10:52.920 --> 00:10:54.960 align:start position:0% happen the solo blobs just have an advantage<00:10:53.720> but<00:10:53.920> we<00:10:54.040> might<00:10:54.200> as<00:10:54.279> well 00:10:54.960 --> 00:10:54.970 align:start position:0% advantage but we might as well 00:10:54.970 --> 00:10:57.750 align:start position:0% advantage but we might as well [Music] 00:10:57.750 --> 00:10:57.760 align:start position:0% [Music] 00:10:57.760 --> 00:11:01.310 align:start position:0% [Music] check<00:10:58.760> okay<00:10:59.480> yep<00:10:59.839> going<00:11:00.079> solo<00:11:00.560> is<00:11:00.800> still<00:11:01.120> an 00:11:01.310 --> 00:11:01.320 align:start position:0% check okay yep going solo is still an 00:11:01.320 --> 00:11:03.670 align:start position:0% check okay yep going solo is still an evolutionarily<00:11:02.120> stable<00:11:02.519> strategy<00:11:03.200> and<00:11:03.480> the 00:11:03.670 --> 00:11:03.680 align:start position:0% evolutionarily stable strategy and the 00:11:03.680 --> 00:11:06.110 align:start position:0% evolutionarily stable strategy and the team<00:11:03.920> blobs<00:11:04.279> get<00:11:04.399> their<00:11:04.560> butts<00:11:04.959> kicked<00:11:05.959> this 00:11:06.110 --> 00:11:06.120 align:start position:0% team blobs get their butts kicked this 00:11:06.120 --> 00:11:08.670 align:start position:0% team blobs get their butts kicked this kind<00:11:06.240> of<00:11:06.440> situation<00:11:07.120> has<00:11:07.320> a<00:11:07.519> special<00:11:07.880> name<00:11:08.519> the 00:11:08.670 --> 00:11:08.680 align:start position:0% kind of situation has a special name the 00:11:08.680 --> 00:11:11.230 align:start position:0% kind of situation has a special name the prisoners<00:11:09.399> dilemma<00:11:10.079> when<00:11:10.240> two<00:11:10.440> solo<00:11:10.800> blobs 00:11:11.230 --> 00:11:11.240 align:start position:0% prisoners dilemma when two solo blobs 00:11:11.240 --> 00:11:13.590 align:start position:0% prisoners dilemma when two solo blobs meet<00:11:11.560> they<00:11:11.680> each<00:11:11.880> get<00:11:12.079> 3/4<00:11:12.680> of<00:11:12.800> a<00:11:12.959> mango<00:11:13.360> as<00:11:13.440> a 00:11:13.590 --> 00:11:13.600 align:start position:0% meet they each get 3/4 of a mango as a 00:11:13.600 --> 00:11:15.590 align:start position:0% meet they each get 3/4 of a mango as a net<00:11:13.839> reward<00:11:14.480> but<00:11:14.600> if<00:11:14.680> they<00:11:14.800> would<00:11:15.040> just<00:11:15.320> work 00:11:15.590 --> 00:11:15.600 align:start position:0% net reward but if they would just work 00:11:15.600 --> 00:11:17.190 align:start position:0% net reward but if they would just work as<00:11:15.720> a<00:11:15.880> team<00:11:16.240> they<00:11:16.320> could<00:11:16.519> each<00:11:16.720> get<00:11:16.959> five 00:11:17.190 --> 00:11:17.200 align:start position:0% as a team they could each get five 00:11:17.200 --> 00:11:19.389 align:start position:0% as a team they could each get five quarters<00:11:17.560> of<00:11:17.680> a<00:11:17.839> mango<00:11:18.560> but<00:11:18.720> in<00:11:18.880> any<00:11:19.079> given 00:11:19.389 --> 00:11:19.399 align:start position:0% quarters of a mango but in any given 00:11:19.399 --> 00:11:21.590 align:start position:0% quarters of a mango but in any given case<00:11:19.680> you're<00:11:19.839> better<00:11:20.079> off<00:11:20.279> going<00:11:20.560> solo<00:11:21.079> so<00:11:21.480> the 00:11:21.590 --> 00:11:21.600 align:start position:0% case you're better off going solo so the 00:11:21.600 --> 00:11:24.509 align:start position:0% case you're better off going solo so the solo<00:11:21.880> blobs<00:11:22.240> take<00:11:22.440> over<00:11:23.440> so<00:11:23.839> now<00:11:24.040> we<00:11:24.240> have 00:11:24.509 --> 00:11:24.519 align:start position:0% solo blobs take over so now we have 00:11:24.519 --> 00:11:26.670 align:start position:0% solo blobs take over so now we have three<00:11:24.760> matrices<00:11:25.600> that<00:11:25.760> progressively<00:11:26.399> make 00:11:26.670 --> 00:11:26.680 align:start position:0% three matrices that progressively make 00:11:26.680 --> 00:11:29.190 align:start position:0% three matrices that progressively make cooperation<00:11:27.440> less<00:11:27.639> and<00:11:27.839> less<00:11:28.120> beneficial<00:11:29.040> and 00:11:29.190 --> 00:11:29.200 align:start position:0% cooperation less and less beneficial and 00:11:29.200 --> 00:11:30.949 align:start position:0% cooperation less and less beneficial and these<00:11:29.360> Encompass<00:11:29.880> the<00:11:30.040> three<00:11:30.360> possibilities 00:11:30.949 --> 00:11:30.959 align:start position:0% these Encompass the three possibilities 00:11:30.959 --> 00:11:32.750 align:start position:0% these Encompass the three possibilities for<00:11:31.200> what<00:11:31.360> gets<00:11:31.519> you<00:11:31.680> the<00:11:31.800> best<00:11:32.040> reward<00:11:32.560> when 00:11:32.750 --> 00:11:32.760 align:start position:0% for what gets you the best reward when 00:11:32.760 --> 00:11:34.790 align:start position:0% for what gets you the best reward when you<00:11:32.880> meet<00:11:33.079> a<00:11:33.200> team<00:11:33.480> blob<00:11:34.240> either<00:11:34.480> you<00:11:34.600> should 00:11:34.790 --> 00:11:34.800 align:start position:0% you meet a team blob either you should 00:11:34.800 --> 00:11:37.150 align:start position:0% you meet a team blob either you should team<00:11:35.000> up<00:11:35.160> with<00:11:35.320> them<00:11:35.639> you<00:11:35.720> should<00:11:35.920> go<00:11:36.120> solo<00:11:36.720> or 00:11:37.150 --> 00:11:37.160 align:start position:0% team up with them you should go solo or 00:11:37.160 --> 00:11:38.990 align:start position:0% team up with them you should go solo or it<00:11:37.240> doesn't<00:11:37.560> matter<00:11:38.320> the<00:11:38.440> other<00:11:38.680> thing<00:11:38.880> we 00:11:38.990 --> 00:11:39.000 align:start position:0% it doesn't matter the other thing we 00:11:39.000 --> 00:11:40.829 align:start position:0% it doesn't matter the other thing we could<00:11:39.160> change<00:11:39.560> is<00:11:39.680> to<00:11:39.920> also<00:11:40.240> increase<00:11:40.639> the 00:11:40.829 --> 00:11:40.839 align:start position:0% could change is to also increase the 00:11:40.839 --> 00:11:43.230 align:start position:0% could change is to also increase the cost<00:11:41.120> of<00:11:41.240> getting<00:11:41.480> in<00:11:41.639> a<00:11:41.800> fight<00:11:42.720> first<00:11:43.079> let's 00:11:43.230 --> 00:11:43.240 align:start position:0% cost of getting in a fight first let's 00:11:43.240 --> 00:11:44.990 align:start position:0% cost of getting in a fight first let's reduce<00:11:43.560> it<00:11:43.680> until<00:11:43.920> the<00:11:44.040> team<00:11:44.279> blobs<00:11:44.720> and<00:11:44.880> the 00:11:44.990 --> 00:11:45.000 align:start position:0% reduce it until the team blobs and the 00:11:45.000 --> 00:11:47.629 align:start position:0% reduce it until the team blobs and the solo<00:11:45.279> blobs<00:11:45.600> get<00:11:45.760> the<00:11:45.880> same<00:11:46.200> reward<00:11:47.200> this<00:11:47.399> is<00:11:47.519> a 00:11:47.629 --> 00:11:47.639 align:start position:0% solo blobs get the same reward this is a 00:11:47.639 --> 00:11:49.629 align:start position:0% solo blobs get the same reward this is a sort<00:11:47.800> of<00:11:47.959> mirror<00:11:48.360> image<00:11:48.639> of<00:11:48.800> this<00:11:49.000> other<00:11:49.200> one 00:11:49.629 --> 00:11:49.639 align:start position:0% sort of mirror image of this other one 00:11:49.639 --> 00:11:51.670 align:start position:0% sort of mirror image of this other one but<00:11:49.839> this<00:11:50.000> time<00:11:50.240> teamwork<00:11:50.720> is<00:11:50.839> a<00:11:51.079> strong<00:11:51.240> Nash 00:11:51.670 --> 00:11:51.680 align:start position:0% but this time teamwork is a strong Nash 00:11:51.680 --> 00:11:54.350 align:start position:0% but this time teamwork is a strong Nash and<00:11:51.880> fighting<00:11:52.200> is<00:11:52.320> a<00:11:52.440> weak<00:11:52.959> Nash<00:11:53.959> so<00:11:54.240> what 00:11:54.350 --> 00:11:54.360 align:start position:0% and fighting is a weak Nash so what 00:11:54.360 --> 00:11:56.110 align:start position:0% and fighting is a weak Nash so what would<00:11:54.519> you<00:11:54.720> expect<00:11:55.120> here<00:11:55.440> is<00:11:55.560> it<00:11:55.680> going<00:11:55.760> to<00:11:55.880> be 00:11:56.110 --> 00:11:56.120 align:start position:0% would you expect here is it going to be 00:11:56.120 --> 00:11:58.150 align:start position:0% would you expect here is it going to be pretty<00:11:56.320> much<00:11:56.560> the<00:11:56.680> same<00:11:57.040> just<00:11:57.360> with<00:11:57.600> the<00:11:57.800> roll 00:11:58.150 --> 00:11:58.160 align:start position:0% pretty much the same just with the roll 00:11:58.160 --> 00:12:00.780 align:start position:0% pretty much the same just with the roll switched<00:11:58.639> or<00:11:59.000> will<00:11:59.240> something<00:11:59.519> else 00:12:00.780 --> 00:12:00.790 align:start position:0% switched or will something else 00:12:00.790 --> 00:12:03.590 align:start position:0% switched or will something else [Music] 00:12:03.590 --> 00:12:03.600 align:start position:0% [Music] 00:12:03.600 --> 00:12:06.269 align:start position:0% [Music] happen<00:12:04.600> Okay<00:12:04.880> it<00:12:05.120> turns<00:12:05.480> out<00:12:05.720> it<00:12:05.880> is<00:12:06.079> pretty 00:12:06.269 --> 00:12:06.279 align:start position:0% happen Okay it turns out it is pretty 00:12:06.279 --> 00:12:08.949 align:start position:0% happen Okay it turns out it is pretty much<00:12:06.560> the<00:12:06.639> same<00:12:06.920> as<00:12:07.120> before<00:12:07.519> but<00:12:07.959> flipped 00:12:08.949 --> 00:12:08.959 align:start position:0% much the same as before but flipped 00:12:08.959 --> 00:12:11.069 align:start position:0% much the same as before but flipped cooperation<00:12:09.600> is<00:12:09.720> an<00:12:09.920> evolutionarily<00:12:10.680> stable 00:12:11.069 --> 00:12:11.079 align:start position:0% cooperation is an evolutionarily stable 00:12:11.079 --> 00:12:13.829 align:start position:0% cooperation is an evolutionarily stable strategy<00:12:11.720> and<00:12:12.000> going<00:12:12.240> solo<00:12:12.800> isn't<00:12:13.600> even 00:12:13.829 --> 00:12:13.839 align:start position:0% strategy and going solo isn't even 00:12:13.839 --> 00:12:15.430 align:start position:0% strategy and going solo isn't even though<00:12:14.000> the<00:12:14.120> world<00:12:14.399> that<00:12:14.560> started<00:12:14.959> out<00:12:15.199> with 00:12:15.430 --> 00:12:15.440 align:start position:0% though the world that started out with 00:12:15.440 --> 00:12:17.590 align:start position:0% though the world that started out with mostly<00:12:15.839> solo<00:12:16.199> blobs<00:12:16.720> still<00:12:17.000> seems<00:12:17.279> to<00:12:17.399> be 00:12:17.590 --> 00:12:17.600 align:start position:0% mostly solo blobs still seems to be 00:12:17.600 --> 00:12:20.470 align:start position:0% mostly solo blobs still seems to be hanging<00:12:18.079> on<00:12:19.079> next<00:12:19.399> let's<00:12:19.600> make<00:12:19.800> fighting<00:12:20.199> even 00:12:20.470 --> 00:12:20.480 align:start position:0% hanging on next let's make fighting even 00:12:20.480 --> 00:12:22.629 align:start position:0% hanging on next let's make fighting even more<00:12:20.760> costly<00:12:21.600> and<00:12:21.760> this<00:12:21.880> one<00:12:22.079> is<00:12:22.160> a<00:12:22.279> mirror 00:12:22.629 --> 00:12:22.639 align:start position:0% more costly and this one is a mirror 00:12:22.639 --> 00:12:25.590 align:start position:0% more costly and this one is a mirror image<00:12:23.040> of<00:12:23.199> the<00:12:23.360> prisoners<00:12:23.880> dilemma<00:12:24.600> situation 00:12:25.590 --> 00:12:25.600 align:start position:0% image of the prisoners dilemma situation 00:12:25.600 --> 00:12:27.389 align:start position:0% image of the prisoners dilemma situation so<00:12:25.839> as<00:12:25.959> you<00:12:26.040> might<00:12:26.320> expect<00:12:26.720> the<00:12:26.839> results<00:12:27.120> are 00:12:27.389 --> 00:12:27.399 align:start position:0% so as you might expect the results are 00:12:27.399 --> 00:12:30.110 align:start position:0% so as you might expect the results are opposite<00:12:28.320> teamwork<00:12:29.000> is<00:12:29.160> an<00:12:29.360> evolutionarily 00:12:30.110 --> 00:12:30.120 align:start position:0% opposite teamwork is an evolutionarily 00:12:30.120 --> 00:12:32.629 align:start position:0% opposite teamwork is an evolutionarily stable<00:12:30.519> strategy<00:12:31.320> and<00:12:31.720> solo<00:12:32.040> blobs<00:12:32.399> get<00:12:32.519> their 00:12:32.629 --> 00:12:32.639 align:start position:0% stable strategy and solo blobs get their 00:12:32.639 --> 00:12:33.509 align:start position:0% stable strategy and solo blobs get their butts 00:12:33.509 --> 00:12:33.519 align:start position:0% butts 00:12:33.519 --> 00:12:36.110 align:start position:0% butts kicked<00:12:34.519> we've<00:12:34.880> only<00:12:35.199> changed<00:12:35.680> one<00:12:35.839> of<00:12:35.959> the 00:12:36.110 --> 00:12:36.120 align:start position:0% kicked we've only changed one of the 00:12:36.120 --> 00:12:38.389 align:start position:0% kicked we've only changed one of the payoffs<00:12:36.519> at<00:12:36.600> a<00:12:36.760> time<00:12:37.399> but<00:12:37.600> we<00:12:37.720> could<00:12:37.959> combine 00:12:38.389 --> 00:12:38.399 align:start position:0% payoffs at a time but we could combine 00:12:38.399 --> 00:12:40.710 align:start position:0% payoffs at a time but we could combine these<00:12:38.560> changes<00:12:38.959> to<00:12:39.120> get<00:12:39.279> four<00:12:39.600> more<00:12:39.920> cases<00:12:40.480> and 00:12:40.710 --> 00:12:40.720 align:start position:0% these changes to get four more cases and 00:12:40.720 --> 00:12:42.790 align:start position:0% these changes to get four more cases and these<00:12:40.839> are<00:12:41.000> worth<00:12:41.199> looking<00:12:41.440> at<00:12:41.600> as<00:12:41.760> well<00:12:42.639> in 00:12:42.790 --> 00:12:42.800 align:start position:0% these are worth looking at as well in 00:12:42.800 --> 00:12:44.990 align:start position:0% these are worth looking at as well in this<00:12:42.920> middle<00:12:43.360> case<00:12:43.639> here<00:12:44.079> both<00:12:44.440> strategies 00:12:44.990 --> 00:12:45.000 align:start position:0% this middle case here both strategies 00:12:45.000 --> 00:12:47.949 align:start position:0% this middle case here both strategies lead<00:12:45.279> to<00:12:45.560> a<00:12:45.720> weak<00:12:46.040> NES<00:12:46.519> equilibrium<00:12:47.519> I<00:12:47.639> know<00:12:47.800> I 00:12:47.949 --> 00:12:47.959 align:start position:0% lead to a weak NES equilibrium I know I 00:12:47.959 --> 00:12:49.470 align:start position:0% lead to a weak NES equilibrium I know I keep<00:12:48.160> saying<00:12:48.480> you<00:12:48.560> should<00:12:48.839> try<00:12:49.000> to<00:12:49.160> make<00:12:49.279> a 00:12:49.470 --> 00:12:49.480 align:start position:0% keep saying you should try to make a 00:12:49.480 --> 00:12:51.389 align:start position:0% keep saying you should try to make a prediction<00:12:50.040> but<00:12:50.199> here's<00:12:50.399> one<00:12:50.639> I<00:12:50.839> genuinely 00:12:51.389 --> 00:12:51.399 align:start position:0% prediction but here's one I genuinely 00:12:51.399 --> 00:12:53.350 align:start position:0% prediction but here's one I genuinely think<00:12:51.600> is<00:12:51.800> tough<00:12:52.680> I'm<00:12:52.880> going<00:12:52.959> to<00:12:53.040> make<00:12:53.240> this 00:12:53.350 --> 00:12:53.360 align:start position:0% think is tough I'm going to make this 00:12:53.360 --> 00:12:55.430 align:start position:0% think is tough I'm going to make this one<00:12:53.560> multiple<00:12:54.000> choice<00:12:54.639> and<00:12:54.880> I'm<00:12:55.000> not<00:12:55.160> going<00:12:55.240> to 00:12:55.430 --> 00:12:55.440 align:start position:0% one multiple choice and I'm not going to 00:12:55.440 --> 00:12:57.710 align:start position:0% one multiple choice and I'm not going to grade<00:12:55.760> it<00:12:56.079> but<00:12:56.440> if<00:12:56.519> you<00:12:56.760> pause<00:12:57.040> and<00:12:57.279> pick<00:12:57.600> I 00:12:57.710 --> 00:12:57.720 align:start position:0% grade it but if you pause and pick I 00:12:57.720 --> 00:12:59.829 align:start position:0% grade it but if you pause and pick I think<00:12:57.920> you'll<00:12:58.199> learn<00:12:58.519> more 00:12:59.829 --> 00:12:59.839 align:start position:0% think you'll learn more 00:12:59.839 --> 00:13:02.189 align:start position:0% think you'll learn more so<00:13:00.120> the<00:13:00.279> first<00:13:00.600> possibility<00:13:01.279> is<00:13:01.519> it's<00:13:01.839> just 00:13:02.189 --> 00:13:02.199 align:start position:0% so the first possibility is it's just 00:13:02.199 --> 00:13:03.829 align:start position:0% so the first possibility is it's just total<00:13:02.639> chaos<00:13:03.040> the<00:13:03.120> lines<00:13:03.399> are<00:13:03.519> going<00:13:03.639> to<00:13:03.720> be 00:13:03.829 --> 00:13:03.839 align:start position:0% total chaos the lines are going to be 00:13:03.839 --> 00:13:06.069 align:start position:0% total chaos the lines are going to be squiggling<00:13:04.639> everywhere<00:13:05.639> another 00:13:06.069 --> 00:13:06.079 align:start position:0% squiggling everywhere another 00:13:06.079 --> 00:13:07.949 align:start position:0% squiggling everywhere another possibility<00:13:06.680> is<00:13:07.000> that<00:13:07.279> the<00:13:07.440> starting 00:13:07.949 --> 00:13:07.959 align:start position:0% possibility is that the starting 00:13:07.959 --> 00:13:10.069 align:start position:0% possibility is that the starting populations<00:13:08.639> will<00:13:08.839> tend<00:13:09.120> to<00:13:09.360> stay<00:13:09.760> about 00:13:10.069 --> 00:13:10.079 align:start position:0% populations will tend to stay about 00:13:10.079 --> 00:13:12.230 align:start position:0% populations will tend to stay about where<00:13:10.279> they<00:13:10.399> are<00:13:11.000> so<00:13:11.279> we'll<00:13:11.440> see<00:13:11.839> roughly 00:13:12.230 --> 00:13:12.240 align:start position:0% where they are so we'll see roughly 00:13:12.240 --> 00:13:14.790 align:start position:0% where they are so we'll see roughly straight<00:13:12.600> lines<00:13:12.880> all<00:13:13.040> across<00:13:13.360> the<00:13:13.560> graph<00:13:14.399> or 00:13:14.790 --> 00:13:14.800 align:start position:0% straight lines all across the graph or 00:13:14.800 --> 00:13:16.590 align:start position:0% straight lines all across the graph or maybe<00:13:15.079> the<00:13:15.199> team<00:13:15.440> blobs<00:13:15.880> will<00:13:16.000> do<00:13:16.240> better<00:13:16.440> and 00:13:16.590 --> 00:13:16.600 align:start position:0% maybe the team blobs will do better and 00:13:16.600 --> 00:13:18.470 align:start position:0% maybe the team blobs will do better and more<00:13:16.760> of<00:13:16.920> the<00:13:17.000> worlds<00:13:17.480> because<00:13:17.839> there's<00:13:18.120> just 00:13:18.470 --> 00:13:18.480 align:start position:0% more of the worlds because there's just 00:13:18.480 --> 00:13:20.710 align:start position:0% more of the worlds because there's just better<00:13:18.839> rewards<00:13:19.240> when<00:13:19.440> everyone's 00:13:20.710 --> 00:13:20.720 align:start position:0% better rewards when everyone's 00:13:20.720 --> 00:13:23.470 align:start position:0% better rewards when everyone's cooperating<00:13:21.720> or<00:13:22.279> it<00:13:22.440> could<00:13:22.639> be<00:13:23.120> that<00:13:23.279> I'm 00:13:23.470 --> 00:13:23.480 align:start position:0% cooperating or it could be that I'm 00:13:23.480 --> 00:13:25.550 align:start position:0% cooperating or it could be that I'm baiting<00:13:23.920> you<00:13:24.240> with<00:13:24.440> all<00:13:24.600> of<00:13:24.839> these<00:13:25.199> and<00:13:25.320> it's 00:13:25.550 --> 00:13:25.560 align:start position:0% baiting you with all of these and it's 00:13:25.560 --> 00:13:27.670 align:start position:0% baiting you with all of these and it's none<00:13:25.760> of<00:13:25.959> them<00:13:26.279> in<00:13:26.480> which<00:13:26.680> case<00:13:27.199> say<00:13:27.440> what<00:13:27.560> you 00:13:27.670 --> 00:13:27.680 align:start position:0% none of them in which case say what you 00:13:27.680 --> 00:13:29.670 align:start position:0% none of them in which case say what you think<00:13:27.839> is<00:13:28.000> going<00:13:28.079> to<00:13:28.279> happen 00:13:29.670 --> 00:13:29.680 align:start position:0% think is going to happen 00:13:29.680 --> 00:13:34.470 align:start position:0% think is going to happen [Music] 00:13:34.470 --> 00:13:34.480 align:start position:0% 00:13:34.480 --> 00:13:36.509 align:start position:0% okay<00:13:34.760> looking<00:13:35.040> at<00:13:35.199> the<00:13:35.480> overall<00:13:36.000> average<00:13:36.360> it 00:13:36.509 --> 00:13:36.519 align:start position:0% okay looking at the overall average it 00:13:36.519 --> 00:13:39.030 align:start position:0% okay looking at the overall average it does<00:13:36.839> seem<00:13:37.040> to<00:13:37.199> favor<00:13:37.480> solo<00:13:37.839> blobs<00:13:38.279> slightly 00:13:39.030 --> 00:13:39.040 align:start position:0% does seem to favor solo blobs slightly 00:13:39.040 --> 00:13:41.230 align:start position:0% does seem to favor solo blobs slightly but<00:13:39.240> looking<00:13:39.519> at<00:13:39.720> individual<00:13:40.360> cases<00:13:40.839> it<00:13:41.040> does 00:13:41.230 --> 00:13:41.240 align:start position:0% but looking at individual cases it does 00:13:41.240 --> 00:13:43.590 align:start position:0% but looking at individual cases it does seem<00:13:41.519> pretty<00:13:41.720> clear<00:13:42.079> it's<00:13:42.360> just<00:13:42.600> chaos<00:13:43.440> with 00:13:43.590 --> 00:13:43.600 align:start position:0% seem pretty clear it's just chaos with 00:13:43.600 --> 00:13:45.710 align:start position:0% seem pretty clear it's just chaos with this<00:13:43.760> Matrix<00:13:44.279> your<00:13:44.440> reward<00:13:44.880> is<00:13:45.079> entirely 00:13:45.710 --> 00:13:45.720 align:start position:0% this Matrix your reward is entirely 00:13:45.720 --> 00:13:47.590 align:start position:0% this Matrix your reward is entirely dependent<00:13:46.160> on<00:13:46.360> your<00:13:46.560> opponent<00:13:47.079> and<00:13:47.199> it<00:13:47.360> has 00:13:47.590 --> 00:13:47.600 align:start position:0% dependent on your opponent and it has 00:13:47.600 --> 00:13:49.990 align:start position:0% dependent on your opponent and it has nothing<00:13:47.880> to<00:13:48.079> do<00:13:48.480> with<00:13:48.720> what<00:13:48.880> you<00:13:49.079> decide<00:13:49.360> to<00:13:49.519> do 00:13:49.990 --> 00:13:50.000 align:start position:0% nothing to do with what you decide to do 00:13:50.000 --> 00:13:52.790 align:start position:0% nothing to do with what you decide to do it's<00:13:50.399> pure<00:13:50.720> luck<00:13:51.360> so<00:13:51.600> here<00:13:51.880> neither<00:13:52.279> strategy 00:13:52.790 --> 00:13:52.800 align:start position:0% it's pure luck so here neither strategy 00:13:52.800 --> 00:13:55.790 align:start position:0% it's pure luck so here neither strategy is<00:13:53.000> evolutionarily<00:13:54.000> stable<00:13:55.000> the<00:13:55.199> population 00:13:55.790 --> 00:13:55.800 align:start position:0% is evolutionarily stable the population 00:13:55.800 --> 00:13:57.310 align:start position:0% is evolutionarily stable the population also<00:13:56.040> doesn't<00:13:56.320> stay<00:13:56.560> at<00:13:56.639> a<00:13:56.800> consistent 00:13:57.310 --> 00:13:57.320 align:start position:0% also doesn't stay at a consistent 00:13:57.320 --> 00:13:58.990 align:start position:0% also doesn't stay at a consistent mixture<00:13:58.040> because<00:13:58.320> there's<00:13:58.519> nothing<00:13:58.880> to 00:13:58.990 --> 00:13:59.000 align:start position:0% mixture because there's nothing to 00:13:59.000 --> 00:14:00.670 align:start position:0% mixture because there's nothing to correct<00:13:59.320> lucky<00:13:59.600> bounces<00:14:00.079> one<00:14:00.240> way<00:14:00.360> or<00:14:00.519> the 00:14:00.670 --> 00:14:00.680 align:start position:0% correct lucky bounces one way or the 00:14:00.680 --> 00:14:02.870 align:start position:0% correct lucky bounces one way or the other<00:14:01.440> and<00:14:01.759> even<00:14:02.000> though<00:14:02.199> the<00:14:02.399> overall 00:14:02.870 --> 00:14:02.880 align:start position:0% other and even though the overall 00:14:02.880 --> 00:14:04.629 align:start position:0% other and even though the overall rewards<00:14:03.279> are<00:14:03.519> higher<00:14:03.880> when<00:14:04.040> the<00:14:04.199> population 00:14:04.629 --> 00:14:04.639 align:start position:0% rewards are higher when the population 00:14:04.639 --> 00:14:07.030 align:start position:0% rewards are higher when the population is<00:14:04.759> full<00:14:04.959> of<00:14:05.120> Team<00:14:05.360> blobs<00:14:05.959> the<00:14:06.040> solo<00:14:06.360> blobs<00:14:06.839> get 00:14:07.030 --> 00:14:07.040 align:start position:0% is full of Team blobs the solo blobs get 00:14:07.040 --> 00:14:09.030 align:start position:0% is full of Team blobs the solo blobs get those<00:14:07.240> rewards<00:14:07.759> too<00:14:08.360> so<00:14:08.639> there's<00:14:08.839> no 00:14:09.030 --> 00:14:09.040 align:start position:0% those rewards too so there's no 00:14:09.040 --> 00:14:11.710 align:start position:0% those rewards too so there's no Advantage<00:14:09.480> for<00:14:09.639> the<00:14:09.720> team<00:14:10.320> blobs<00:14:11.320> all<00:14:11.519> right 00:14:11.710 --> 00:14:11.720 align:start position:0% Advantage for the team blobs all right 00:14:11.720 --> 00:14:14.069 align:start position:0% Advantage for the team blobs all right moving<00:14:12.040> on<00:14:12.800> from<00:14:13.040> here<00:14:13.279> let's<00:14:13.480> make<00:14:13.680> fighting 00:14:14.069 --> 00:14:14.079 align:start position:0% moving on from here let's make fighting 00:14:14.079 --> 00:14:16.350 align:start position:0% moving on from here let's make fighting more<00:14:14.320> costly<00:14:15.240> this<00:14:15.360> one's<00:14:15.680> not<00:14:15.880> a<00:14:16.000> mirror 00:14:16.350 --> 00:14:16.360 align:start position:0% more costly this one's not a mirror 00:14:16.360 --> 00:14:18.269 align:start position:0% more costly this one's not a mirror image<00:14:16.639> of<00:14:16.800> anything<00:14:17.079> we've<00:14:17.279> done<00:14:17.480> so<00:14:17.680> far<00:14:18.000> so 00:14:18.269 --> 00:14:18.279 align:start position:0% image of anything we've done so far so 00:14:18.279 --> 00:14:20.150 align:start position:0% image of anything we've done so far so try<00:14:18.519> determining<00:14:19.079> whether<00:14:19.360> either<00:14:19.720> strategy 00:14:20.150 --> 00:14:20.160 align:start position:0% try determining whether either strategy 00:14:20.160 --> 00:14:21.949 align:start position:0% try determining whether either strategy leads<00:14:20.480> to<00:14:20.600> an<00:14:20.759> ash<00:14:21.040> equilibrium<00:14:21.639> and<00:14:21.800> whether 00:14:21.949 --> 00:14:21.959 align:start position:0% leads to an ash equilibrium and whether 00:14:21.959 --> 00:14:27.670 align:start position:0% leads to an ash equilibrium and whether it's<00:14:22.199> evolutionarily 00:14:27.670 --> 00:14:27.680 align:start position:0% 00:14:27.680 --> 00:14:29.590 align:start position:0% stable 00:14:29.590 --> 00:14:29.600 align:start position:0% stable 00:14:29.600 --> 00:14:31.230 align:start position:0% stable okay<00:14:29.800> here's<00:14:30.079> another<00:14:30.399> one<00:14:30.560> where<00:14:30.759> teamwork 00:14:31.230 --> 00:14:31.240 align:start position:0% okay here's another one where teamwork 00:14:31.240 --> 00:14:33.590 align:start position:0% okay here's another one where teamwork is<00:14:31.360> an<00:14:31.560> evolutionarily<00:14:32.320> stable<00:14:32.680> strategy<00:14:33.440> the 00:14:33.590 --> 00:14:33.600 align:start position:0% is an evolutionarily stable strategy the 00:14:33.600 --> 00:14:35.269 align:start position:0% is an evolutionarily stable strategy the interesting<00:14:34.160> thing<00:14:34.399> here<00:14:34.680> is<00:14:34.800> that<00:14:35.000> this<00:14:35.120> is 00:14:35.269 --> 00:14:35.279 align:start position:0% interesting thing here is that this is 00:14:35.279 --> 00:14:36.389 align:start position:0% interesting thing here is that this is the<00:14:35.440> first<00:14:35.720> time<00:14:35.880> we've<00:14:36.040> seen<00:14:36.240> an 00:14:36.389 --> 00:14:36.399 align:start position:0% the first time we've seen an 00:14:36.399 --> 00:14:38.629 align:start position:0% the first time we've seen an evolutionarily<00:14:37.240> stable<00:14:37.639> strategy<00:14:38.240> that<00:14:38.440> just 00:14:38.629 --> 00:14:38.639 align:start position:0% evolutionarily stable strategy that just 00:14:38.639 --> 00:14:41.590 align:start position:0% evolutionarily stable strategy that just corresponds<00:14:39.199> to<00:14:39.360> a<00:14:39.480> weak<00:14:39.800> Nash<00:14:40.600> equilibrium 00:14:41.590 --> 00:14:41.600 align:start position:0% corresponds to a weak Nash equilibrium 00:14:41.600 --> 00:14:44.110 align:start position:0% corresponds to a weak Nash equilibrium when<00:14:41.839> the<00:14:42.040> population<00:14:42.480> is<00:14:42.759> mostly<00:14:43.199> team<00:14:43.519> blobs 00:14:44.110 --> 00:14:44.120 align:start position:0% when the population is mostly team blobs 00:14:44.120 --> 00:14:46.389 align:start position:0% when the population is mostly team blobs they<00:14:44.240> don't<00:14:44.440> have<00:14:44.720> much<00:14:44.880> of<00:14:45.000> an<00:14:45.160> advantage<00:14:46.160> so 00:14:46.389 --> 00:14:46.399 align:start position:0% they don't have much of an advantage so 00:14:46.399 --> 00:14:48.310 align:start position:0% they don't have much of an advantage so in<00:14:46.560> most<00:14:46.759> of<00:14:46.880> the<00:14:47.040> Sims<00:14:47.440> the<00:14:47.560> solo<00:14:47.920> blobs 00:14:48.310 --> 00:14:48.320 align:start position:0% in most of the Sims the solo blobs 00:14:48.320 --> 00:14:49.749 align:start position:0% in most of the Sims the solo blobs didn't<00:14:48.680> actually<00:14:49.000> go 00:14:49.749 --> 00:14:49.759 align:start position:0% didn't actually go 00:14:49.759 --> 00:14:52.269 align:start position:0% didn't actually go extinct<00:14:50.759> but<00:14:50.920> if<00:14:51.079> there<00:14:51.199> are<00:14:51.480> a<00:14:51.600> bunch<00:14:51.800> of<00:14:51.959> solo 00:14:52.269 --> 00:14:52.279 align:start position:0% extinct but if there are a bunch of solo 00:14:52.279 --> 00:14:54.389 align:start position:0% extinct but if there are a bunch of solo blobs<00:14:52.759> they<00:14:52.959> hurt<00:14:53.240> each<00:14:53.399> other<00:14:53.759> so<00:14:54.160> even 00:14:54.389 --> 00:14:54.399 align:start position:0% blobs they hurt each other so even 00:14:54.399 --> 00:14:56.069 align:start position:0% blobs they hurt each other so even though<00:14:54.600> they<00:14:54.720> can<00:14:54.839> linger<00:14:55.279> around<00:14:55.839> they<00:14:55.959> can 00:14:56.069 --> 00:14:56.079 align:start position:0% though they can linger around they can 00:14:56.079 --> 00:14:58.790 align:start position:0% though they can linger around they can never<00:14:56.399> actually<00:14:56.720> take<00:14:56.959> over<00:14:57.240> the<00:14:57.680> population 00:14:58.790 --> 00:14:58.800 align:start position:0% never actually take over the population 00:14:58.800 --> 00:15:00.509 align:start position:0% never actually take over the population and<00:14:59.000> when<00:14:59.120> we<00:14:59.279> look<00:14:59.440> at<00:14:59.600> this<00:14:59.759> Mirror<00:15:00.160> Image 00:15:00.509 --> 00:15:00.519 align:start position:0% and when we look at this Mirror Image 00:15:00.519 --> 00:15:02.509 align:start position:0% and when we look at this Mirror Image case<00:15:00.800> we<00:15:01.000> again<00:15:01.160> see<00:15:01.440> something<00:15:01.800> similar<00:15:02.320> but 00:15:02.509 --> 00:15:02.519 align:start position:0% case we again see something similar but 00:15:02.519 --> 00:15:05.430 align:start position:0% case we again see something similar but with<00:15:02.720> the<00:15:02.880> rolls<00:15:03.680> reversed<00:15:04.680> all<00:15:04.920> right<00:15:05.240> one 00:15:05.430 --> 00:15:05.440 align:start position:0% with the rolls reversed all right one 00:15:05.440 --> 00:15:07.910 align:start position:0% with the rolls reversed all right one more<00:15:05.839> case<00:15:06.240> where<00:15:06.480> both<00:15:06.800> cooperation<00:15:07.680> and 00:15:07.910 --> 00:15:07.920 align:start position:0% more case where both cooperation and 00:15:07.920 --> 00:15:10.509 align:start position:0% more case where both cooperation and fighting<00:15:08.360> have<00:15:08.480> a<00:15:08.639> high<00:15:08.920> cost<00:15:09.720> this<00:15:09.920> situation 00:15:10.509 --> 00:15:10.519 align:start position:0% fighting have a high cost this situation 00:15:10.519 --> 00:15:12.389 align:start position:0% fighting have a high cost this situation also<00:15:10.839> has<00:15:10.959> a<00:15:11.160> special<00:15:11.480> name<00:15:11.759> it's<00:15:11.959> called<00:15:12.199> a 00:15:12.389 --> 00:15:12.399 align:start position:0% also has a special name it's called a 00:15:12.399 --> 00:15:15.230 align:start position:0% also has a special name it's called a hawk<00:15:12.759> Dove<00:15:13.160> game<00:15:13.959> the<00:15:14.199> solo<00:15:14.639> blobs<00:15:14.880> are<00:15:15.000> called 00:15:15.230 --> 00:15:15.240 align:start position:0% hawk Dove game the solo blobs are called 00:15:15.240 --> 00:15:18.350 align:start position:0% hawk Dove game the solo blobs are called Hawks<00:15:15.800> and<00:15:16.120> the<00:15:16.360> teamwork<00:15:16.880> blobs<00:15:17.399> are<00:15:17.720> called 00:15:18.350 --> 00:15:18.360 align:start position:0% Hawks and the teamwork blobs are called 00:15:18.360 --> 00:15:21.250 align:start position:0% Hawks and the teamwork blobs are called doves<00:15:19.360> anyway<00:15:19.800> what<00:15:19.880> do<00:15:20.000> you<00:15:20.120> expect<00:15:20.360> to 00:15:21.250 --> 00:15:21.260 align:start position:0% doves anyway what do you expect to 00:15:21.260 --> 00:15:25.230 align:start position:0% doves anyway what do you expect to [Music] 00:15:25.230 --> 00:15:25.240 align:start position:0% 00:15:25.240 --> 00:15:28.110 align:start position:0% happen<00:15:26.240> here<00:15:26.680> neither<00:15:27.160> strategy<00:15:27.600> leads<00:15:27.880> to<00:15:28.000> a 00:15:28.110 --> 00:15:28.120 align:start position:0% happen here neither strategy leads to a 00:15:28.120 --> 00:15:30.590 align:start position:0% happen here neither strategy leads to a nashy<00:15:28.639> equilibrium<00:15:29.240> not<00:15:29.399> even<00:15:29.560> a<00:15:29.720> weak<00:15:29.959> one 00:15:30.590 --> 00:15:30.600 align:start position:0% nashy equilibrium not even a weak one 00:15:30.600 --> 00:15:33.710 align:start position:0% nashy equilibrium not even a weak one and<00:15:30.880> neither<00:15:31.319> strategy<00:15:31.800> is<00:15:31.920> an<00:15:32.120> ESS<00:15:32.839> either<00:15:33.560> it 00:15:33.710 --> 00:15:33.720 align:start position:0% and neither strategy is an ESS either it 00:15:33.720 --> 00:15:35.350 align:start position:0% and neither strategy is an ESS either it turns<00:15:34.000> out<00:15:34.240> there's<00:15:34.360> a<00:15:34.560> fraction<00:15:34.880> of<00:15:35.040> Hawks 00:15:35.350 --> 00:15:35.360 align:start position:0% turns out there's a fraction of Hawks 00:15:35.360 --> 00:15:37.269 align:start position:0% turns out there's a fraction of Hawks versus<00:15:35.720> doves<00:15:36.040> that<00:15:36.199> the<00:15:36.360> population<00:15:37.000> keeps 00:15:37.269 --> 00:15:37.279 align:start position:0% versus doves that the population keeps 00:15:37.279 --> 00:15:39.389 align:start position:0% versus doves that the population keeps trying<00:15:37.560> to<00:15:37.880> return<00:15:38.120> to<00:15:38.759> there's<00:15:39.000> still<00:15:39.319> a 00:15:39.389 --> 00:15:39.399 align:start position:0% trying to return to there's still a 00:15:39.399 --> 00:15:41.309 align:start position:0% trying to return to there's still a little<00:15:39.600> bit<00:15:39.720> of<00:15:39.920> chaos<00:15:40.360> but<00:15:40.480> if<00:15:40.639> one<00:15:40.880> strategy 00:15:41.309 --> 00:15:41.319 align:start position:0% little bit of chaos but if one strategy 00:15:41.319 --> 00:15:43.350 align:start position:0% little bit of chaos but if one strategy starts<00:15:41.639> to<00:15:41.800> take<00:15:42.040> over<00:15:42.639> Suddenly<00:15:43.120> It's 00:15:43.350 --> 00:15:43.360 align:start position:0% starts to take over Suddenly It's 00:15:43.360 --> 00:15:45.430 align:start position:0% starts to take over Suddenly It's advantageous<00:15:44.000> to<00:15:44.120> be<00:15:44.319> the<00:15:44.399> other<00:15:44.759> strategy 00:15:45.430 --> 00:15:45.440 align:start position:0% advantageous to be the other strategy 00:15:45.440 --> 00:15:47.269 align:start position:0% advantageous to be the other strategy and<00:15:45.639> the<00:15:45.839> population<00:15:46.360> moves<00:15:46.759> back<00:15:46.920> toward 00:15:47.269 --> 00:15:47.279 align:start position:0% and the population moves back toward 00:15:47.279 --> 00:15:49.670 align:start position:0% and the population moves back toward that<00:15:47.399> fraction<00:15:47.759> of<00:15:48.279> Cooperators<00:15:49.279> and<00:15:49.519> just 00:15:49.670 --> 00:15:49.680 align:start position:0% that fraction of Cooperators and just 00:15:49.680 --> 00:15:51.509 align:start position:0% that fraction of Cooperators and just like<00:15:49.920> that<00:15:50.120> crossover<00:15:50.680> point<00:15:50.880> for<00:15:51.079> the<00:15:51.240> very 00:15:51.509 --> 00:15:51.519 align:start position:0% like that crossover point for the very 00:15:51.519 --> 00:15:53.550 align:start position:0% like that crossover point for the very first<00:15:51.920> situation<00:15:52.360> we<00:15:52.519> looked<00:15:52.800> at<00:15:53.199> we<00:15:53.319> can 00:15:53.550 --> 00:15:53.560 align:start position:0% first situation we looked at we can 00:15:53.560 --> 00:15:55.350 align:start position:0% first situation we looked at we can calculate<00:15:54.079> what<00:15:54.240> that<00:15:54.360> number<00:15:54.639> will<00:15:54.839> be<00:15:55.120> for 00:15:55.350 --> 00:15:55.360 align:start position:0% calculate what that number will be for 00:15:55.360 --> 00:15:58.269 align:start position:0% calculate what that number will be for any<00:15:55.600> reward<00:15:56.120> Matrix<00:15:57.120> but<00:15:57.399> before<00:15:57.639> we<00:15:57.800> do<00:15:58.040> that 00:15:58.269 --> 00:15:58.279 align:start position:0% any reward Matrix but before we do that 00:15:58.279 --> 00:15:59.710 align:start position:0% any reward Matrix but before we do that let's<00:15:58.639> see<00:15:58.759> if<00:15:58.839> we<00:15:58.959> can<00:15:59.120> look<00:15:59.319> back<00:15:59.519> and 00:15:59.710 --> 00:15:59.720 align:start position:0% let's see if we can look back and 00:15:59.720 --> 00:16:01.389 align:start position:0% let's see if we can look back and summarize<00:16:00.279> the<00:16:00.440> relationship<00:16:01.000> between<00:16:01.240> a 00:16:01.389 --> 00:16:01.399 align:start position:0% summarize the relationship between a 00:16:01.399 --> 00:16:03.470 align:start position:0% summarize the relationship between a Nash<00:16:01.680> equilibrium<00:16:02.319> and<00:16:02.440> an<00:16:02.639> evolutionarily 00:16:03.470 --> 00:16:03.480 align:start position:0% Nash equilibrium and an evolutionarily 00:16:03.480 --> 00:16:06.110 align:start position:0% Nash equilibrium and an evolutionarily stable<00:16:04.000> strategy<00:16:05.000> it<00:16:05.120> looks<00:16:05.319> like<00:16:05.480> a<00:16:05.639> strategy 00:16:06.110 --> 00:16:06.120 align:start position:0% stable strategy it looks like a strategy 00:16:06.120 --> 00:16:08.110 align:start position:0% stable strategy it looks like a strategy is<00:16:06.319> always<00:16:06.800> an<00:16:06.959> evolutionarily<00:16:07.720> stable 00:16:08.110 --> 00:16:08.120 align:start position:0% is always an evolutionarily stable 00:16:08.120 --> 00:16:10.790 align:start position:0% is always an evolutionarily stable strategy<00:16:08.839> if<00:16:08.959> it<00:16:09.079> leads<00:16:09.360> to<00:16:09.560> a<00:16:09.920> strong<00:16:10.319> Nash 00:16:10.790 --> 00:16:10.800 align:start position:0% strategy if it leads to a strong Nash 00:16:10.800 --> 00:16:13.389 align:start position:0% strategy if it leads to a strong Nash equilibrium<00:16:11.800> and<00:16:12.040> a<00:16:12.199> strategy<00:16:12.720> can<00:16:13.000> also<00:16:13.240> be 00:16:13.389 --> 00:16:13.399 align:start position:0% equilibrium and a strategy can also be 00:16:13.399 --> 00:16:15.790 align:start position:0% equilibrium and a strategy can also be an<00:16:13.600> ESS<00:16:14.279> if<00:16:14.360> it<00:16:14.560> leads<00:16:14.800> to<00:16:14.920> a<00:16:15.120> weak<00:16:15.399> Nash 00:16:15.790 --> 00:16:15.800 align:start position:0% an ESS if it leads to a weak Nash 00:16:15.800 --> 00:16:17.629 align:start position:0% an ESS if it leads to a weak Nash equilibrium<00:16:16.680> as<00:16:16.839> long<00:16:17.000> as<00:16:17.160> the<00:16:17.319> other 00:16:17.629 --> 00:16:17.639 align:start position:0% equilibrium as long as the other 00:16:17.639 --> 00:16:19.309 align:start position:0% equilibrium as long as the other strategy<00:16:18.199> doesn't<00:16:18.519> lead<00:16:18.759> to<00:16:18.880> a<00:16:19.000> Nash 00:16:19.309 --> 00:16:19.319 align:start position:0% strategy doesn't lead to a Nash 00:16:19.319 --> 00:16:22.150 align:start position:0% strategy doesn't lead to a Nash equilibrium<00:16:20.199> strong<00:16:20.519> or<00:16:20.759> weak<00:16:21.560> this<00:16:21.759> is<00:16:21.959> the 00:16:22.150 --> 00:16:22.160 align:start position:0% equilibrium strong or weak this is the 00:16:22.160 --> 00:16:24.230 align:start position:0% equilibrium strong or weak this is the definition<00:16:22.759> of<00:16:22.880> an<00:16:23.079> evolutionarily<00:16:23.880> stable 00:16:24.230 --> 00:16:24.240 align:start position:0% definition of an evolutionarily stable 00:16:24.240 --> 00:16:26.710 align:start position:0% definition of an evolutionarily stable strategy<00:16:24.720> that<00:16:24.800> you'd<00:16:25.000> find<00:16:25.199> in<00:16:25.319> a<00:16:25.720> textbook 00:16:26.710 --> 00:16:26.720 align:start position:0% strategy that you'd find in a textbook 00:16:26.720 --> 00:16:28.670 align:start position:0% strategy that you'd find in a textbook but<00:16:26.880> for<00:16:27.040> me<00:16:27.240> at<00:16:27.360> least<00:16:27.680> it<00:16:27.880> makes<00:16:28.079> a<00:16:28.199> lot<00:16:28.319> more 00:16:28.670 --> 00:16:28.680 align:start position:0% but for me at least it makes a lot more 00:16:28.680 --> 00:16:30.470 align:start position:0% but for me at least it makes a lot more sense<00:16:28.920> after<00:16:29.160> going<00:16:29.360> through<00:16:29.519> all<00:16:29.720> these 00:16:30.470 --> 00:16:30.480 align:start position:0% sense after going through all these 00:16:30.480 --> 00:16:33.030 align:start position:0% sense after going through all these examples<00:16:31.480> and<00:16:31.759> these<00:16:31.959> really<00:16:32.160> are<00:16:32.480> all<00:16:32.639> of<00:16:32.800> the 00:16:33.030 --> 00:16:33.040 align:start position:0% examples and these really are all of the 00:16:33.040 --> 00:16:35.670 align:start position:0% examples and these really are all of the examples<00:16:34.040> at<00:16:34.160> least<00:16:34.360> for<00:16:34.639> a<00:16:34.839> symmetrical<00:16:35.399> game 00:16:35.670 --> 00:16:35.680 align:start position:0% examples at least for a symmetrical game 00:16:35.680 --> 00:16:37.990 align:start position:0% examples at least for a symmetrical game where<00:16:35.839> the<00:16:35.959> players<00:16:36.319> can't<00:16:36.839> communicate<00:16:37.839> of 00:16:37.990 --> 00:16:38.000 align:start position:0% where the players can't communicate of 00:16:38.000 --> 00:16:39.189 align:start position:0% where the players can't communicate of course<00:16:38.240> there<00:16:38.360> could<00:16:38.519> be<00:16:38.680> all<00:16:38.839> kinds<00:16:39.040> of 00:16:39.189 --> 00:16:39.199 align:start position:0% course there could be all kinds of 00:16:39.199 --> 00:16:40.470 align:start position:0% course there could be all kinds of different<00:16:39.480> numbers<00:16:39.920> and<00:16:40.040> there<00:16:40.199> could<00:16:40.319> be 00:16:40.470 --> 00:16:40.480 align:start position:0% different numbers and there could be 00:16:40.480 --> 00:16:42.509 align:start position:0% different numbers and there could be more<00:16:40.600> than<00:16:40.759> two<00:16:41.040> strategies<00:16:42.040> but<00:16:42.240> any 00:16:42.509 --> 00:16:42.519 align:start position:0% more than two strategies but any 00:16:42.519 --> 00:16:44.629 align:start position:0% more than two strategies but any strategy<00:16:43.040> with<00:16:43.240> any<00:16:43.480> rewards<00:16:44.000> will<00:16:44.240> always 00:16:44.629 --> 00:16:44.639 align:start position:0% strategy with any rewards will always 00:16:44.639 --> 00:16:47.030 align:start position:0% strategy with any rewards will always lead<00:16:44.839> to<00:16:45.079> either<00:16:45.399> a<00:16:45.759> strong<00:16:45.959> Nash<00:16:46.319> equilibrium 00:16:47.030 --> 00:16:47.040 align:start position:0% lead to either a strong Nash equilibrium 00:16:47.040 --> 00:16:49.829 align:start position:0% lead to either a strong Nash equilibrium a<00:16:47.199> weak<00:16:47.480> Nash<00:16:47.839> equilibrium<00:16:48.600> or<00:16:48.800> no<00:16:49.079> Nash 00:16:49.829 --> 00:16:49.839 align:start position:0% a weak Nash equilibrium or no Nash 00:16:49.839 --> 00:16:52.269 align:start position:0% a weak Nash equilibrium or no Nash equilibrium<00:16:50.839> and<00:16:51.160> evolutionary<00:16:51.800> stability 00:16:52.269 --> 00:16:52.279 align:start position:0% equilibrium and evolutionary stability 00:16:52.279 --> 00:16:54.749 align:start position:0% equilibrium and evolutionary stability will<00:16:52.560> still<00:16:52.880> always<00:16:53.160> follow<00:16:53.560> this<00:16:53.720> rule<00:16:54.560> there 00:16:54.749 --> 00:16:54.759 align:start position:0% will still always follow this rule there 00:16:54.759 --> 00:16:56.670 align:start position:0% will still always follow this rule there may<00:16:54.959> be<00:16:55.079> an<00:16:55.279> upcoming<00:16:55.759> video<00:16:56.120> with<00:16:56.319> more<00:16:56.519> than 00:16:56.670 --> 00:16:56.680 align:start position:0% may be an upcoming video with more than 00:16:56.680 --> 00:16:58.629 align:start position:0% may be an upcoming video with more than two<00:16:56.920> strategies<00:16:57.600> but<00:16:57.800> you're<00:16:58.040> just<00:16:58.240> going<00:16:58.319> to 00:16:58.629 --> 00:16:58.639 align:start position:0% two strategies but you're just going to 00:16:58.639 --> 00:17:00.829 align:start position:0% two strategies but you're just going to have<00:16:58.759> to<00:16:58.880> wait<00:16:59.800> at<00:16:59.959> this<00:17:00.120> point<00:17:00.360> there<00:17:00.519> is<00:17:00.639> a 00:17:00.829 --> 00:17:00.839 align:start position:0% have to wait at this point there is a 00:17:00.839 --> 00:17:02.749 align:start position:0% have to wait at this point there is a little<00:17:01.040> bit<00:17:01.240> more<00:17:01.440> we<00:17:01.560> could<00:17:01.720> do<00:17:02.440> we<00:17:02.560> could 00:17:02.749 --> 00:17:02.759 align:start position:0% little bit more we could do we could 00:17:02.759 --> 00:17:04.789 align:start position:0% little bit more we could do we could derive<00:17:03.079> a<00:17:03.279> formula<00:17:03.959> that'll<00:17:04.240> give<00:17:04.400> us<00:17:04.600> the 00:17:04.789 --> 00:17:04.799 align:start position:0% derive a formula that'll give us the 00:17:04.799 --> 00:17:07.029 align:start position:0% derive a formula that'll give us the stable<00:17:05.319> equilibrium<00:17:06.039> mixture<00:17:06.520> in<00:17:06.640> a<00:17:06.760> hawk 00:17:07.029 --> 00:17:07.039 align:start position:0% stable equilibrium mixture in a hawk 00:17:07.039 --> 00:17:09.390 align:start position:0% stable equilibrium mixture in a hawk Dove<00:17:07.360> game<00:17:07.559> for<00:17:07.880> any<00:17:08.240> values<00:17:08.640> in<00:17:08.799> the<00:17:08.919> reward 00:17:09.390 --> 00:17:09.400 align:start position:0% Dove game for any values in the reward 00:17:09.400 --> 00:17:11.669 align:start position:0% Dove game for any values in the reward Matrix<00:17:10.400> we<00:17:10.520> could<00:17:10.640> do<00:17:10.839> the<00:17:11.000> same<00:17:11.319> thing<00:17:11.559> but 00:17:11.669 --> 00:17:11.679 align:start position:0% Matrix we could do the same thing but 00:17:11.679 --> 00:17:13.829 align:start position:0% Matrix we could do the same thing but for<00:17:11.839> the<00:17:12.079> crossover<00:17:12.640> point<00:17:12.959> in<00:17:13.120> that<00:17:13.360> first 00:17:13.829 --> 00:17:13.839 align:start position:0% for the crossover point in that first 00:17:13.839 --> 00:17:15.789 align:start position:0% for the crossover point in that first situation<00:17:14.439> where<00:17:14.760> both<00:17:15.079> strategies<00:17:15.559> were 00:17:15.789 --> 00:17:15.799 align:start position:0% situation where both strategies were 00:17:15.799 --> 00:17:18.470 align:start position:0% situation where both strategies were evolutionarily<00:17:16.640> stable<00:17:17.640> another<00:17:18.039> question 00:17:18.470 --> 00:17:18.480 align:start position:0% evolutionarily stable another question 00:17:18.480 --> 00:17:20.069 align:start position:0% evolutionarily stable another question which<00:17:18.679> turns<00:17:18.959> out<00:17:19.120> to<00:17:19.280> have<00:17:19.400> an<00:17:19.559> interesting 00:17:20.069 --> 00:17:20.079 align:start position:0% which turns out to have an interesting 00:17:20.079 --> 00:17:22.150 align:start position:0% which turns out to have an interesting answer<00:17:20.480> is<00:17:20.959> what<00:17:21.079> if<00:17:21.199> we<00:17:21.319> allow<00:17:21.600> the<00:17:21.720> blobs<00:17:22.079> to 00:17:22.150 --> 00:17:22.160 align:start position:0% answer is what if we allow the blobs to 00:17:22.160 --> 00:17:24.750 align:start position:0% answer is what if we allow the blobs to flip<00:17:22.480> a<00:17:22.600> coin<00:17:22.959> to<00:17:23.160> decide<00:17:23.559> which<00:17:23.880> strategy<00:17:24.360> to 00:17:24.750 --> 00:17:24.760 align:start position:0% flip a coin to decide which strategy to 00:17:24.760 --> 00:17:28.150 align:start position:0% flip a coin to decide which strategy to play<00:17:25.760> consider<00:17:26.199> those<00:17:26.439> questions<00:17:27.039> homework<00:17:28.039> I 00:17:28.150 --> 00:17:28.160 align:start position:0% play consider those questions homework I 00:17:28.160 --> 00:17:29.669 align:start position:0% play consider those questions homework I know<00:17:28.600> I<00:17:28.720> said<00:17:28.960> we<00:17:29.080> would<00:17:29.280> do<00:17:29.440> those 00:17:29.669 --> 00:17:29.679 align:start position:0% know I said we would do those 00:17:29.679 --> 00:17:32.110 align:start position:0% know I said we would do those calculations<00:17:30.520> but<00:17:30.720> I<00:17:30.840> didn't<00:17:31.200> say<00:17:31.600> in<00:17:31.799> this 00:17:32.110 --> 00:17:32.120 align:start position:0% calculations but I didn't say in this 00:17:32.120 --> 00:17:34.830 align:start position:0% calculations but I didn't say in this video<00:17:32.960> videos<00:17:33.320> are<00:17:33.679> great<00:17:33.880> and<00:17:34.039> all<00:17:34.440> but<00:17:34.640> you 00:17:34.830 --> 00:17:34.840 align:start position:0% video videos are great and all but you 00:17:34.840 --> 00:17:37.230 align:start position:0% video videos are great and all but you learn<00:17:35.160> the<00:17:35.280> most<00:17:35.640> when<00:17:35.840> you<00:17:36.000> do<00:17:36.280> things<00:17:37.039> and 00:17:37.230 --> 00:17:37.240 align:start position:0% learn the most when you do things and 00:17:37.240 --> 00:17:38.789 align:start position:0% learn the most when you do things and when<00:17:37.400> you<00:17:37.520> connect<00:17:37.880> with<00:17:38.080> other<00:17:38.360> people<00:17:38.640> who 00:17:38.789 --> 00:17:38.799 align:start position:0% when you connect with other people who 00:17:38.799 --> 00:17:41.070 align:start position:0% when you connect with other people who are<00:17:38.960> also<00:17:39.280> thinking<00:17:39.600> about<00:17:39.840> the<00:17:39.960> same<00:17:40.240> stuff 00:17:41.070 --> 00:17:41.080 align:start position:0% are also thinking about the same stuff 00:17:41.080 --> 00:17:42.470 align:start position:0% are also thinking about the same stuff so<00:17:41.320> if<00:17:41.440> you<00:17:41.520> want<00:17:41.640> to<00:17:41.840> discuss<00:17:42.240> these 00:17:42.470 --> 00:17:42.480 align:start position:0% so if you want to discuss these 00:17:42.480 --> 00:17:44.549 align:start position:0% so if you want to discuss these questions<00:17:42.960> or<00:17:43.160> share<00:17:43.440> your<00:17:43.679> answers<00:17:44.080> with<00:17:44.240> me 00:17:44.549 --> 00:17:44.559 align:start position:0% questions or share your answers with me 00:17:44.559 --> 00:17:46.390 align:start position:0% questions or share your answers with me or<00:17:44.760> others<00:17:45.280> or<00:17:45.480> if<00:17:45.600> you're<00:17:45.799> already<00:17:46.160> pretty 00:17:46.390 --> 00:17:46.400 align:start position:0% or others or if you're already pretty 00:17:46.400 --> 00:17:47.909 align:start position:0% or others or if you're already pretty familiar<00:17:46.840> with<00:17:47.000> this<00:17:47.160> stuff<00:17:47.440> and<00:17:47.600> want<00:17:47.760> to 00:17:47.909 --> 00:17:47.919 align:start position:0% familiar with this stuff and want to 00:17:47.919 --> 00:17:49.789 align:start position:0% familiar with this stuff and want to help<00:17:48.120> out<00:17:48.559> there's<00:17:48.720> a<00:17:48.919> Discord<00:17:49.320> Link<00:17:49.520> in<00:17:49.640> the 00:17:49.789 --> 00:17:49.799 align:start position:0% help out there's a Discord Link in the 00:17:49.799 --> 00:17:52.710 align:start position:0% help out there's a Discord Link in the video<00:17:50.559> description<00:17:51.559> I<00:17:51.760> also<00:17:52.000> stream<00:17:52.440> myself 00:17:52.710 --> 00:17:52.720 align:start position:0% video description I also stream myself 00:17:52.720 --> 00:17:54.510 align:start position:0% video description I also stream myself working<00:17:53.000> on<00:17:53.200> Twitch<00:17:53.480> a<00:17:53.559> few<00:17:53.760> times<00:17:54.039> per<00:17:54.200> week 00:17:54.510 --> 00:17:54.520 align:start position:0% working on Twitch a few times per week 00:17:54.520 --> 00:17:56.590 align:start position:0% working on Twitch a few times per week and<00:17:54.679> I'm<00:17:54.880> happy<00:17:55.080> to<00:17:55.240> talk<00:17:55.400> about<00:17:55.600> it<00:17:55.799> there<00:17:56.520> if 00:17:56.590 --> 00:17:56.600 align:start position:0% and I'm happy to talk about it there if 00:17:56.600 --> 00:17:58.710 align:start position:0% and I'm happy to talk about it there if you<00:17:56.760> get<00:17:57.000> value<00:17:57.320> from<00:17:57.559> these<00:17:57.760> videos<00:17:58.080> and<00:17:58.600> like 00:17:58.710 --> 00:17:58.720 align:start position:0% you get value from these videos and like 00:17:58.720 --> 00:18:00.630 align:start position:0% you get value from these videos and like to<00:17:58.840> support<00:17:59.159> monetarily<00:18:00.000> there's<00:18:00.159> a<00:18:00.280> few<00:18:00.440> ways 00:18:00.630 --> 00:18:00.640 align:start position:0% to support monetarily there's a few ways 00:18:00.640 --> 00:18:02.830 align:start position:0% to support monetarily there's a few ways you<00:18:00.720> can<00:18:00.880> do<00:18:01.080> that<00:18:01.640> the<00:18:01.760> newest<00:18:02.159> way<00:18:02.400> is<00:18:02.559> to 00:18:02.830 --> 00:18:02.840 align:start position:0% you can do that the newest way is to 00:18:02.840 --> 00:18:04.669 align:start position:0% you can do that the newest way is to pick<00:18:03.000> up<00:18:03.120> one<00:18:03.240> of<00:18:03.360> these<00:18:03.480> shirts<00:18:04.360> another 00:18:04.669 --> 00:18:04.679 align:start position:0% pick up one of these shirts another 00:18:04.679 --> 00:18:06.630 align:start position:0% pick up one of these shirts another great<00:18:04.919> way<00:18:05.159> is<00:18:05.320> to<00:18:05.600> support<00:18:05.960> monthly<00:18:06.440> on 00:18:06.630 --> 00:18:06.640 align:start position:0% great way is to support monthly on 00:18:06.640 --> 00:18:08.830 align:start position:0% great way is to support monthly on patreon<00:18:07.360> patrons<00:18:07.799> get<00:18:07.960> early<00:18:08.360> access<00:18:08.640> to 00:18:08.830 --> 00:18:08.840 align:start position:0% patreon patrons get early access to 00:18:08.840 --> 00:18:10.909 align:start position:0% patreon patrons get early access to videos<00:18:09.360> some<00:18:09.640> behind<00:18:09.919> the-scenes<00:18:10.240> updates 00:18:10.909 --> 00:18:10.919 align:start position:0% videos some behind the-scenes updates 00:18:10.919 --> 00:18:12.710 align:start position:0% videos some behind the-scenes updates and<00:18:11.240> discounts<00:18:11.640> on<00:18:11.799> shirts<00:18:12.200> and<00:18:12.400> blob 00:18:12.710 --> 00:18:12.720 align:start position:0% and discounts on shirts and blob 00:18:12.720 --> 00:18:14.549 align:start position:0% and discounts on shirts and blob plushies<00:18:13.039> and<00:18:13.200> other<00:18:13.440> things<00:18:13.640> in<00:18:13.760> the<00:18:13.880> store 00:18:14.549 --> 00:18:14.559 align:start position:0% plushies and other things in the store 00:18:14.559 --> 00:18:16.070 align:start position:0% plushies and other things in the store and<00:18:14.720> even<00:18:14.919> if<00:18:15.000> you're<00:18:15.159> not<00:18:15.360> able<00:18:15.559> to<00:18:15.720> support 00:18:16.070 --> 00:18:16.080 align:start position:0% and even if you're not able to support 00:18:16.080 --> 00:18:18.029 align:start position:0% and even if you're not able to support monetarily<00:18:16.799> I<00:18:16.919> appreciate<00:18:17.480> very<00:18:17.679> much<00:18:17.960> that 00:18:18.029 --> 00:18:18.039 align:start position:0% monetarily I appreciate very much that 00:18:18.039 --> 00:18:19.470 align:start position:0% monetarily I appreciate very much that you<00:18:18.200> watched<00:18:18.520> all<00:18:18.679> the<00:18:18.799> way<00:18:18.919> to<00:18:19.080> the<00:18:19.200> end<00:18:19.360> of 00:18:19.470 --> 00:18:19.480 align:start position:0% you watched all the way to the end of 00:18:19.480 --> 00:18:23.679 align:start position:0% you watched all the way to the end of the<00:18:19.640> video<00:18:20.159> and<00:18:20.320> I'll<00:18:20.440> see<00:18:20.559> you<00:18:20.760> next<00:18:20.960> time