The Theory Of Extensive Form Games by Carlos Alós-ferrerThe Theory Of Extensive Form Games by Carlos Alós-ferrer

The Theory Of Extensive Form Games

byCarlos Alós-ferrer, Klaus Ritzberger

Hardcover | July 18, 2016

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This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis.

Carlos Alós-Ferrer graduated in Mathematics at the University of Valencia (Spain) in 1992 and completed his Ph.D. in Economics at the University of Alicante (Spain) in 1998. He is a Full Professor of Microeconomics at the University of Cologne (Germany), and has previously worked at the Universities of Alicante (Spain), Vienna (Austria...
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Title:The Theory Of Extensive Form GamesFormat:HardcoverDimensions:239 pagesPublished:July 18, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3662499428

ISBN - 13:9783662499429

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Reviews

Table of Contents

Introduction.- Game Trees.- Pseudotrees and Order Theory.- Extensive Decision Problems.- Extensive Forms.- Discrete Extensive Forms.- Equilibrium.- A Mathematical Appendix.

Editorial Reviews

"This book is a true milestone for the theory of infinite extensive-form games, both in terms of content and presentation. . PhD students and researchers with an interest in infinite extensive-form games will benefit tremendously from this book, and that the book will contribute to a better understanding and appreciation of this fascinating area." (Andrés Perea, Journal of Economic Literature, Vol. 55 (1), March, 2017)