Bernhardvon Stengel
Game Theory Basics
Game Theory Basics
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Game theory is the science of interaction, and this textbook is a comprehensive introduction to the mathematics of non-cooperative games. It covers important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium, with proofs presented in a self-contained way. It also includes chapters on combinatorial games, algorithmic game theory, traffic games, and the geometry of two-player games. Suitable for self-study or introductory courses in mathematics, computer science, or economics departments.
Format: Hardback
Length: 374 pages
Publication date: 19 August 2021
Publisher: Cambridge University Press
Game theory is a comprehensive and straightforward introduction to the mathematics of non-cooperative games, derived from courses taught by the author and developed over several years. It covers essential concepts and results such as strategies, game trees, utility theory, imperfect information, and Nash equilibrium, which are crucial for game theorists. The book presents proofs of these concepts in a self-contained and accessible manner, including an elegant direct proof of the minimax theorem for zero-sum games. Additionally, it discusses combinatorial games like Go and introduces algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text is suitable for self-study or introductory courses in mathematics, computer science, or economics departments, with minimal mathematical background and numerous examples, exercises, and pictures.
Game theory is a comprehensive and straightforward introduction to the mathematics of non-cooperative games, derived from courses taught by the author and developed over several years. It covers essential concepts and results such as strategies, game trees, utility theory, imperfect information, and Nash equilibrium, which are crucial for game theorists. The book presents proofs of these concepts in a self-contained and accessible manner, including an elegant direct proof of the minimax theorem for zero-sum games. Additionally, it discusses combinatorial games like Go and introduces algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text is suitable for self-study or introductory courses in mathematics, computer science, or economics departments, with minimal mathematical background and numerous examples, exercises, and pictures.
Weight: 920g
Dimension: 252 x 195 x 22 (mm)
ISBN-13: 9781108843300
Edition number: New ed
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