The Evolution of Cooperation // Iterated Prisoner's Dilemma

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How does cooperation evolve over time? If you play the same game over and over again, how do you choose strategies where you reap the benefits of cooperation without being exploited. For example if someone always tries to cooperate, they loose poorly to someone who is always being selfish. We will contrast various types of repeated strategies but the one that tends to rise to the top is called Tit-For-Tat, where if someone is selfish back to you then you are selfish right back, and if they cooperate with you, you cooperate with them. Robert Axelrod introduced the idea of Iterated Prisoner's Dilemma tournaments where lots of people submit strategies and then the computer plays them all and this is where tit for tat rose up to the top. We will also think about repeated games like this from an evolutionary perspective and see how more cooperative strategies can become more popular over time, leading to the evolutionary origin of cooperation.

0:00 Intro
0:42 The Prisoner's Dilemma
3:21 Iterated Game Strategies
5:20 Prober Strategy
6:35 Grudge Strategy
7:54 Tit for Tat Strategy
10:44 Properties of Successful Strategies
13:49 Evolution against Randoms
15:25 Evolution of Cooperation

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There's an error on the slide around ~16:00. Selfish against Cooperate scores 18 over 6 rounds, not 15. This makes your point even stronger because it shows that Selfish initially beats Tit For Tat (32 to 29), but then loses against Tit For Tat (14 to 17) after Selfish drives Cooperate into extinction.

WetwareRenderEngine
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Selfish = Narcissistic people (deserving).
Cooperative = Nice people (doormat).
Tit for Tat = Strong character people (Fair).

abdulazizhawsah
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It is also interesting that cooperation maximizes the sum of both (all) players' points, which is called happiness in my head canon haha

juanchetumare
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This was such a cool concept, well put

Darkev
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From a psychological point of view, the bonnie and Clyde varient the game is a better allegory for acting cooperatively in that if neither confess, it leads to the only non-negitive outcome. Nothing negative results. If you confess you are just lessening the duration of the consequences.

vincentrockel
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you forgot to mention that t4t relies on the probability of meeting again in future interactions is high. If it is low, cheating increases in value. That's why used-car sales, or real-estate sales, have a reputation: never trust them. That's bc they don't rely on repeat business.

jjolla
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Is more of this coming up or this is it for the series? It has been an great experience so far. Ty

fabiovargasbr
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This is very clear and it is extremely useful for me. Thank you so much for making this available.

AT-
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Great playlist so far, hoping to see more videos!

joyanbhathena
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Thanks! this video gave me a big insight for my research

kuanxD
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Great video, Trefor. It is amazing how such simple toy models can distill the essense of the mechanisms of the evolution of cooperation. Too bad you didn't have time to talk about the win-stay, lose-shift strategy that outperforms tit-for-tat. If I remember correctly, it was first introduced in a 1993 Nature paper by Nowak and Sigmund.

BTW, Sigmund gave an amazing talk during our workshop in Turin in 2018 about modeling corruption. You could feel how his model resonated with common sense and what we see happening in reality. It actually fit perfectly my major life decisions some 25 years ago.

mathflipped
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It can be completely selfish to cooperate. Selfishness means concern with one’s own interest.

lamalamalex
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Key takeaway from this video:
If we don't start liking these videos and commenting nicely then Dr Bazett will stop cooperating.

andrewharrison
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you missed to mention the most successful and in reality the only solution, mafia - snitch get stitches. like in prisoner dilemma, you either deny or confess and get murdered.
it's also why society evolve into policing, law/court system. If you break the contrast, you not only get nothing, you need to pay too.

stefenleung
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I like to all them copycats over tit for tat, but yeah usually that strategy wins out overall, it seems the same in real life as well. Like start out treating people nicely, if they harmed you you retaliate, then if they went back to being on ok terms you go back on being ok terms with them as well.

Very intuitive video! I found some extra resources as well online about this and it's really fasinating.

ugestacoolie
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@Dr. Trefor Bazett at 10:34, what if the prober is SELFISH on the last move....tit for tat wont get a chance to replicate....isn't that a possible outcome

invinciblemaverick
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Fantastic.. this tells we shdnt be very nice or very bad to others. Gt has some really cool applications

sanjaykrish
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Hey dr, I hope you are doing well, it is an epic series thank you dr very much!!! But I practiced a few exercises and there is something called the reactive functions or something like that, I just would like to ask you if anything like that will be covered and know how many episodes you have left. Since Im taking Saturdays and Sundays 2 hours for game theory. Thank You Very Much!!!

intereststcentury
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Hey Doc
Can you make a video on tensors please?
Tried hard but couldn't learn from textbooks

paramvir_singh
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If you enjoyed this, I highly recommend The Selfish Gene by Richard Dawkins. A large section of the book covers this exact topic and applies it to the evolution of life.

maddison
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