協力ゲーム理論入門 Introduction to the Theory of Cooperative Games (Theory and Decision Library C:, Volume 34) （2007. 400 S. 233 mm）

Peleg, Bezalel/ Sudhoelter, Peter

SPRINGER, BERLIN（2007発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 388 p.
• 言語 ENG
• 商品コード 9781402077845

基本説明

New in paperback. Hardcover was published in 2003. Systematically studies the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of NTU games.

Full Description

"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 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.