Introduction to the theory of cooperative games
Author(s)
Bibliographic Information
Introduction to the theory of cooperative games
（Theory and decision library, ser. C . Game theory,
Springer, c2007
2nd ed
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Note
Includes bibliographical references (p. [311]-319) and indexes
Description and Table of Contents
Description
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games as well as the core, the Shapley value, and the ordinal bargaining set of NTU games. The authors devote a separate chapter to each solution, wherein they study its properties in full detail. In addition, important variants are defined or even intensively analyzed.
Table of Contents
TU Games.- Coalitional TU Games and Solutions.- The Core.- Bargaining Sets.- The Prekernel, Kernel, and Nucleolus.- The Prenucleolus.- Geometric Properties of the ?-Core, Kernel, and Prekernel.- The Shapley Value.- Continuity Properties of Solutions.- Dynamic Bargaining Procedures for the Kernel and the Bargaining Set.- NTU Games.- Cooperative Games in Strategic and Coalitional Form.- The Core of NTU Games.- The Shapley NTU Value and the Harsanyi Solution.- The Consistent Shapley Value.- On the Classical Bargaining Set and the Mas-Colell Bargaining Set for NTU Games.- Variants of the Davis-Maschler Bargaining Set for NTU Games.
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