Game theory basics
著者
書誌事項
Game theory basics
Cambridge University Press, 2022
- : hbk
並立書誌 全1件
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Game theory basics / Bernhard von Stengel
BC09600297
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Game theory basics / Bernhard von Stengel
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Game theory is the science of interaction. This textbook, derived from courses taught by the author and developed over several years, is a comprehensive, straightforward introduction to the mathematics of non-cooperative games. It teaches what every game theorist should know: the important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium. The proofs of these results, in particular existence of an equilibrium via fixed points, and an elegant direct proof of the minimax theorem for zero-sum games, are presented in a self-contained, accessible way. This is complemented by chapters on combinatorial games like Go; and, it has introductions to algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text requires minimal mathematical background and includes many examples, exercises, and pictures. It is suitable for self-study or introductory courses in mathematics, computer science, or economics departments.
目次
- 1. Nim and Combinatorial Games
- 2. Congestion Games
- 3. Games in Strategic Form
- 4. Game Trees with Perfect Information
- 5. Expected Utility
- 6. Mixed Equilibrium
- 7. Brouwer's Fixed-Point Theorem
- 8. Zero-Sum Games
- 9. Geometry of Equilibria in Bimatrix Games
- 10. Game Trees with Imperfect Information
- 11. Bargaining
- 12. Correlated Equilibrium.
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