Introduction to the Theory of Cooperative Games

• Main Authors: Peleg, Bezalel (Author), Sudhölter, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Edition: Second Edition.
• Series: Theory and Decision Library, Series C: Game Theory, Mathematical Programming and Operations Research, 34
• Subjects: Game theory.; Economic theory.; Economics.; Economic Theory/Quantitative Economics/Mathematical Methods.; Game Theory, Economics, Social and Behav. Sciences.

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...

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.