The Mathematics of Trust // How Game Theory Explains Cooperation скачать в хорошем качестве

The Mathematics of Trust // How Game Theory Explains Cooperation

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. My Game Theory Playlist ►    • Game Theory   Cooperation is crucial to so much of society, but it comes with something of a dilemma. If we cooperate, we can potentially get a higher payoff. But if the other player doesn't cooperate, we could be left with nothing and would have been better off just acting alone and getting something. This is the truth dilemma, and we can use Game Theory to study it. Specifically we will study the Stag Hunt game that considers hunters deciding to go for a Stag or a Hare. This is a Normal Form Game and we begin by noting that its payoff matrix doesn't have any dominating strategies, the main method we have seen previously in the game theory playlist. Instead we will define Nash Equilibriums and see how the Stag Hunt game actually has two equilibriums, one that maximizes payoff and one that minimizes risk. 0:00 The Trust Dilemma 0:45 The Stag Hunt Game 5:12 Nash Equilibria 7:56 The Cooperation Problem 10:57 Check out 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:    • How to solve ODEs with infinite series | I...   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