Transcription of Game Theory, Alive
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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.
Chapter 17. Matching markets 299 17.1. Maximum weighted matching 299 17.2. Envy-free prices 301 17.2.1. Highest and lowest envy-free prices 301 17.2.2. Seller valuations and unbalanced markets 304 17.3. Envy-free division of rent 304 17.4. Finding maximum matchings via ascending auctions 305 17.5. Matching buyers and sellers 306 17.5.1 ...
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