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Book Cover
Author Peleg, Bezalel.

Title Introduction to the theory of cooperative games / by Bezalel Peleg and Peter Sudhölter
Published Boston, Mass. ; London : Kluwer Academic Publishers, [2003]


Location Call no. Vol. Availability
 MELB  519.3 Pel/Itt  AVAILABLE
Description xvi, 378 pages ; 25 cm
Series Theory and decision library. ; v. 34
Theory and decision library. Series C, Game theory, mathematical programming, and operations research ; v. 34
Contents 1. Introduction -- Pt. I. TU Games -- 2. Coalitional TU Games and Solutions -- 3. The Core -- 4. Bargaining Sets -- 5. The Prekernel, Kernel, and Nucleolus -- 6. The Prenucleolus -- 7. Geometric Properties of the [epsilon]-Core, Kernel, and Prekernel -- 8. The Shapley Value -- 9. Continuity Properties of Solutions -- 10. Dynamic Bargaining Procedures for the Kernel -- Pt. II. NTU Games -- 11. Cooperative Games in Strategic and Coalitional Form -- 12. The Core of NTU Games -- 13. Some Values of NTU Games -- 14. Bargaining Sets for NTU Games
Summary "Introduction to the Theory of Cooperative Games systematically studies the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the [epsilon]-core, the Shapley value, and the ordinal bargaining set of NTU games. To each solution a separate chapter is devoted, in which its properties are investigated in full detail. Moreover, important variants are defined or even intensively analyzed. Separate chapters cover continuity, dynamics, and geometric properties of solutions of TU games. This study culminates in uniform and coherent axiomatizations of all the foregoing solutions (excluding the bargaining set). Except for the Shapley value such axiomatizations have not appeared in any book. Moreover, Introduction to the Theory of Cooperative Games contains a detailed analysis of the main results on cooperative games without side payments
Such analysis is very limited or non-existent in the existing literature on game theory." "This book is of interest to Game Theorists, Economists, Mathematicians and Researchers in Operations Research, Political Science and Social Science."--BOOK JACKET
Bibliography Includes bibliographical references and index
Subject Game theory.
Group decision making.
Author Sudhölter, Peter.
LC no. 2003050105
ISBN 140207784X
1402074107 :