ENGLISH

Introduction to the Theory of Cooperative Games

By Bezalel Peleg , Peter Sudhölter

Book information

Publisher
Springer
Year
2007
ISBN
3540729445, 9783540729457, 9783540729440
LCC
HB144 .P45 2007
Language
english
Format
PDF
Filesize
2 MB (1639611 bytes)
Series
Theory and Decision Library C: 34
Edition
2nd
Pages
348\336
Orientation
portrait
Paginated
no
Scanned
no
Time added
2011-06-04 13:46:07

Description

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.

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