Item description for Introduction to the Theory of Cooperative Games (Theory and Decision Library C) by Bezalel Peleg...
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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Est. Packaging Dimensions: Length: 9.3" Width: 6.4" Height: 1" Weight: 1.4 lbs.
Release Date Oct 3, 2007
ISBN 3540729445 ISBN13 9783540729440
Availability 88 units. Availability accurate as of Oct 23, 2016 10:17.
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More About Bezalel Peleg
Bezalel Peleg is professor emeritus of mathematics and fellow of the Center for Rationality and Interactive Decision Theory of the Hebrew University of Jerusalem. He is a fellow of the Econometric Society and the author of Game Theoretic Analysis of Voting in Committees (1984). He published articles in various journals of mathematics, economic theory, social choice and welfare, game theory, and other fields. Peter SudhAlter is associate professor at the Department of Economics of the University of Southern Denmark at Odense. His list of publications indicates his interest in game theory with some emphasize on axiomatic approaches.