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【原文書】 書名:Game Theory: An Introduction 作者:Tadelis 出版社:Princeton 出版日期:2013/01/06 ISBN:9780691129082
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【簡介】 Game theory has become an enormously important field of study. It is now a vital methodology for researchers and teachers in many disciplines, including economics, political science, biology, and law. This book provides a thorough introduction to the subject and its applications, at the intermediate level of instruction. It is designed for the upper-division game theory courses that are offered in most undergraduate economics programs and also serves graduate students in economics, political science, law, and business who seek a solid and readable introduction to the theory. The book can be a primary or secondary source for graduate courses that have a significant game-theoretic component. 【目錄】
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【簡介】 This book provides an introduction to the mathematical theory of games using both classical methods and optimization theory. Employing a theorem-proof-example approach, the book emphasizes not only results in game theory, but also how to prove them.Part 1 of the book focuses on classical results in games, beginning with an introduction to probability theory by studying casino games and ending with Nash’s proof of the existence of mixed strategy equilibria in general sum games. On the way, utility theory, game trees and the minimax theorem are covered with several examples. Part 2 introduces optimization theory and the Karush-Kuhn-Tucker conditions and illustrates how games can be rephrased as optimization problems, thus allowing Nash equilibria to be computed. Part 3 focuses on cooperative games. In this unique presentation, Nash bargaining is recast as a multi-criteria optimization problem and the results from linear programming and duality are revived to prove the classic Bondareva-Shapley theorem. Two appendices covering prerequisite materials are provided, and a "bonus" appendix with an introduction to evolutionary games allows an instructor to swap out some classical material for a modern, self-contained discussion of the replicator dynamics, the author’s particular area of study.