The Evolution of Cooperation // Iterated Prisoner's Dilemma

Check out Brilliant ► https://brilliant.org/TreforBazett/ Join for free and the first 200 subscribers get 20% off an annual premium subscription. Thank you to Brilliant for sponsoring this playlist on Game Theory. Check out the full Game Theory Playlist ►    • Game Theory   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 18:23 www.brilliant.org/treforbazett COURSE PLAYLISTS: ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Logic, P...   ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   ►CALCULUS I:    • Calculus I (Limits, Derivative, Integrals)...   ► CALCULUS II:    • Calculus II (Integration Methods, Series, ...   ►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus (Vect...   ►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line Integra...   ►DIFFERENTIAL EQUATIONS:    • Ordinary Differential Equations (ODEs)   ►LAPLACE TRANSFORM:    • Laplace Transforms and Solving ODEs   ►GAME THEORY:    • Game Theory   OTHER PLAYLISTS: ► Learning Math Series    • 5 Tips To Make Math Practice Problems Actu...   ►Cool Math Series:    • Cool Math Series   BECOME A MEMBER: ►Join:    / @drtrefor   MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based):   / treforbazett   ►Instagram (photography based):   / treforphotography