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Models in cooperative game theory : crisp, fuzzy, and multi-choice games

Author: Rodica Brânzei; Dinko Dimitrov; Stef Tijs
Publisher: Berlin ; New York : Springer, ©2005.
Series: Lecture notes in economics and mathematical systems, 556.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books
Summary:
This book investigates models in cooperative game theory in which the players have the possibility to cooperate partially. In a crisp game the agents are either fully involved or not involved at all in coperation with some other agents, while in a fuzzy game players are allowed to cooperate with infinite many different participation levels, varying from non-cooperation to full cooperation. A multi-choice game  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Brânzei, Rodica, 1949-
Models in cooperative game theory.
Berlin ; New York : Springer, ©2005
(OCoLC)61263489
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Rodica Brânzei; Dinko Dimitrov; Stef Tijs
ISBN: 354026082X 9783540260820 3540285091 9783540285090 6610312737 9786610312733
OCLC Number: 62768377
Description: 1 online resource (viii, 135 pages).
Contents: Cover --
Preface --
Table of Contents --
Part I Cooperative Games with Crisp Coalitions --
1 Preliminaries --
2 Cores and Related Solution Concepts --
2.1 Imputations, Cores and Stable Sets --
2.2 The Core Cover, the Reasonable Set and the Weber Set --
3 The Shapley Value and the r-Value --
3.1 The Shapley Value --
3.2 The r-Value --
4 Classes of Cooperative Crisp Games --
4.1 Totally Balanced Games --
4.2 Convex Games --
4.3 Clan Games --
Part II Cooperative Games with Fuzzy Coalitions --
5 Preliminaries --
6 Solution Concepts for Fuzzy Games --
6.1 Imputations and the Aubin Core --
6.2 Other Cores and Stable Sets --
6.3 The Shapley Value and the Weber Set --
6.4 Path Solutions and the Path Solution Cover --
6.5 Compromise Values --
7 Convex Fuzzy Games --
7.1 Basic Characterizations --
7.2 Properties of Solution Concepts --
7.3 Participation Monotonic Allocation Schemes --
7.4 Egalitarianism in Convex Fuzzy Games --
8 Fuzzy Clan Games --
8.1 The Cone of Fuzzy Clan Games --
8.2 Cores and Stable Sets for Fuzzy Clan Games --
8.3 Bi-Monotonic Participation Allocation Rules --
Part III Multichoice Games --
9 Preliminaries --
10 Solution Concepts for Multichoice Games --
10.1 Imputations, Cores and Stable Sets --
10.2 Marginal Vectors, Shapley Values and the Weber Set --
11 Classes of Multichoice Games --
11.1 Balanced Multichoice Games --
11.2 Convex Multichoice Games --
References.
Series Title: Lecture notes in economics and mathematical systems, 556.
Responsibility: Rodica Brânzei, Dinko Dimitrov, Stef Tijs.
More information:

Abstract:

This book investigates models in cooperative game theory in which the players have the possibility to cooperate partially. In a crisp game the agents are either fully involved or not involved at all in coperation with some other agents, while in a fuzzy game players are allowed to cooperate with infinite many different participation levels, varying from non-cooperation to full cooperation. A multi-choice game describes the intermediate case in which each player may have a fixed number of activity levels. Different set and one-point solution concepts for these games are presented. The propertie.

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From the reviews of the first edition: "This small book can be very interesting for readers who want to study further generalizations of the classical topic on cooperative games. It investigates the Read more...

 
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