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Game Theory, Alive

game theory , AliveAnna R. Karlin and Yuval PeresDecember 13, 2016 Please send comments and corrections to AMS. License or copyright restrictions may apply to redistribution; see to AMS. License or copyright restrictions may apply to redistribution; see overview of the book1 Part I: Analyzing games : Strategies and equilibria1 Part II: Designing games and mechanisms5 For the reader and instructor8 Prerequisites8 Courses8 Notes9 Part I: Analyzing games : Strategies and equilibria11 Chapter 1. Combinatorial Impartial Bouton s solution of Other impartial Partisan The game of Topology and Hex: A path of arrows* Hex and More general boards* Other partisan games played on graphs27 Notes31 Exercises32 Chapter 2. Two-person zero-sum The Minimax Theorem and its Simplifying and solving zero-sum Pure optimal strategies: Saddle Equalizing The technique of Using Nash equilibria, equalizing payoffs, and optimal A first glimpse of incomplete Proof of von Neumann s Minimax Theorem Zero-sum games with infinite action spaces 48iiiLicensed to AMS.

6.4.1. Repetition with discounting 130 6.4.2. The Folk Theorem for average payo s 131 6.4.3. Proof of Theorem 6.4.10 133 Notes 134 Exercises 135 Chapter 7. Evolutionary and correlated equilibria 137 7.1. Evolutionary game theory 137 7.1.1. Hawks and Doves 137 7.1.2. Evolutionarily stable strategies 138 7.2. Correlated equilibria 142 Notes 145 ...

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