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This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answersand solutions are included.
List of contents
Introduction.- Part I Thinking Strategically.- Finite Two-Person Zero-Sum Games.- Finite Two-Person Games.- Finite Extensive Form Games.- Finite Games with Incomplete Information.- Noncooperative Games: Extensions.- Repeated Games.- An Introduction to Evolutionary Games.- Cooperative Games with Transferable Utility.- Cooperative Game Models.- Social Choice.- Part II Noncooperative Games.- Matrix Games.- Finite Games.- Extensive Form Games.- Evolutionary Games.- Part III Cooperative Games.- TU-Games: Dominationa, Stable Sets, and the Core.- The Shapley Value.- Core, Shapley Value, and Weber Set.- The Nucleolus.- Special Transferable Utility Games.- Bargaining Problems.- Part IV Tools.
About the author
Hans Peters ist Klinischer Psychologe, Sonder- und Heilpädagoge und war über 30 Jahre in einer großen Einrichtung für geistig behinderte Menschen tätig, zuletzt als Leiter der Abteilung Intensivbehandlung. Er arbeitet als Supervisor und Lehrtherapeut in der Niederländischen Vereinigung für Verhaltenstherapie sowie in der Flämischen Vereinigung für Klientenzentrierte Psychotherapie.§
Summary
This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answersand solutions are included.
Additional text
“It can be used at an advanced undergraduate course or a graduate course. … I found the book very well written and appropriate for a game theory course focused on business and economics students and applications. Some of the problems are very challenging but most of them are at the appropriate level and the reader will have some fun and learn from them. This is a book that I recommend if you are interested in game theory … .” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, June, 2016)
“This book is therefore a very successful work on the task of providing the largest number of readers, independently of the initial levels of knowledge, an introduction to game theory simultaneously accessible and rigorous, with a wide exemplification of applications, allowing them to achieve efficiently an advanced level of knowledge in the field. Indispensable for teachers and both undergraduate and graduate students in game theory. Also for business and economicsprofessionals, and everybody curious on these matters.” (Manuel Alberto M. Ferreira, Acta Scientiae et Intellectus, Vol. 2 (4), 2016)
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"It can be used at an advanced undergraduate course or a graduate course. ... I found the book very well written and appropriate for a game theory course focused on business and economics students and applications. Some of the problems are very challenging but most of them are at the appropriate level and the reader will have some fun and learn from them. This is a book that I recommend if you are interested in game theory ... ." (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, June, 2016)
"This book is therefore a very successful work on the task of providing the largest number of readers, independently of the initial levels of knowledge, an introduction to game theory simultaneously accessible and rigorous, with a wide exemplification of applications, allowing them to achieve efficiently an advanced level of knowledge in the field. Indispensable for teachers and both undergraduate and graduate students in game theory. Also for business and economicsprofessionals, and everybody curious on these matters." (Manuel Alberto M. Ferreira, Acta Scientiae et Intellectus, Vol. 2 (4), 2016)
