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This graduate textbook provides a modern introduction to mathematical Game Theory, including applications to economics, biology, and statistical learning. Topics include Nash equilibrium, rationality, Bayesian games.
An overview of the book 1 Part I: Analyzing games: Strategies and equilibria 1 Part II: Designing games and mechanisms 5 ... 18.4. Using adaptive decision making to play zero-sum games 321 18.5. Adaptive decision making as a zero-sum game 323 18.5.1. Minimax regret is attained in f0,1glosses 323 ... game theory. 2 3 14 22. Zero-sum 4 Auctions
I am looking for the best book that contains a mathematically rigorous introduction to game theory. I am a group theorist who has taken a recent interest in game theory, but I'm not sure of the best place to learn about game theory from first principles. Any suggestions? Thanks!
In the ensuing three decades, combinatorial game theory has blossomed into a serious and active branch of combinatorics, with connections to coding theory, computational complexity, and commutative algebra. This book is intended as a second course on combinatorial games, at the first- or second-year graduate level, and most readers will ...
Game theory has three uses: (1) Understand the world. For example, game theory helps understand why animals sometimes fight over territory and sometimes don’t. (2) Respond to the world. For example, game theory has been used to develop strategies to win money at poker. (3) Change the world. Often the world is the way it is because people are
1 sty 2017 · Books about game theory concentrated on two-person zero-sum games in strategic form, often paying only desultory attention to the non-zero sum theory. Outside references to game theory often gave the impression that non-zero sum games do not exist, or at least play no role in the theory.
Common term: “zero-sum situation”. Psychology literature: “zero-sum thinking”. “Strictly competitive games”. Focus on two-player zero-sum games (2p-zs) “The more I win, the more you lose”.
