Overview
- Detailed analysis and unified axiomatic treatment of the main solutions of cooperative games, both with and without side payments
- Suitable for introductory and graduate courses on game theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Theory and Decision Library C (TDLC, volume 34)
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Table of contents (16 chapters)
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Front Matter
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Introduction
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TU Games
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Front Matter
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NTU Games
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Front Matter
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Back Matter
Keywords
About this book
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games. To each solution the authors devote a separate chapter wherein they study its properties in full detail. Moreover, important variants are defined or even intensively analyzed. The authors also investigate in separate chapters continuity, dynamics, and geometric properties of solutions of TU games. The study culminates in uniform and coherent axiomatizations of all the foregoing solutions (excluding the bargaining set). Such axiomatizations have not appeared in any book. Moreover, the book contains a detailed analysis of the main results on cooperative games without side payments. Such analysis is very limited or non-existent in other books on game theory.
"Bezalel Peleg and Peter Sudhölter's book is a welcome addition to any game theory library. The book provides comprehensive coverage of the theory of cooperative games and, as such, would make useful reference book for researchers interested cooperative games. One of the strengths of this book is its treatment of non-transferable utility (NTU) games... Another strength is the emphasis the early chapters of the book on the link to mathematical programming. The book is readable but rigorous and this should contribute to its success." R. Beard, Economic Record (2004)
"The text provides a thorough, detailed, rigorous, precise and complete account of the axiomatic treatment of solution concepts of cooperative games. ... concrete mathematical examples and counterexamples, along with existence and nonexistence results concerning a variety of solution concepts, are offered. ... an excellent, comprehensive, and clearly presented source of information about the mathematics of cooperative games." Zvi Artstein, SIAM Review (2005)
"This bookcontains a lot of material that would be hard to dig up in the literature. It certainly should be on the shelf of any researcher of game theory." M. Maschler, Games and Economic Behavior (2005)
Authors and Affiliations
Bibliographic Information
Book Title: Introduction to the Theory of Cooperative Games
Authors: Bezalel Peleg, Peter Sudhölter
Series Title: Theory and Decision Library C
DOI: https://doi.org/10.1007/978-3-540-72945-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Business and Economics, Economics and Finance (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-72944-0Published: 22 August 2007
Softcover ISBN: 978-3-642-09203-9Published: 16 November 2010
eBook ISBN: 978-3-540-72945-7Published: 15 August 2007
Series ISSN: 0924-6126
Series E-ISSN: 2194-3044
Edition Number: 2
Number of Pages: XX, 328
Number of Illustrations: 3 b/w illustrations
Additional Information: Originally published by Springer US, 2003
Topics: Economic Theory/Quantitative Economics/Mathematical Methods, Game Theory, Economics, Social and Behav. Sciences