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Models in Cooperative Game Theory [electronic resource] :Crisp, Fuzzy, and Multi-Choice Games / by Rodica Branzei, Dinko Dimitrov, Stef Tijs.

by Branzei, Rodica [author.]; Dimitrov, Dinko [author.]; Tijs, Stef [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Economics and Mathematical Systems: 556Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: VIII, 135 p. online resource.ISBN: 9783540285090.Subject(s): Economics | Mathematics | Microeconomics | Economics, Mathematical | Economics/Management Science | Game Theory/Mathematical Methods | Game Theory, Economics, Social and Behav. Sciences | Operations Research/Decision Theory | MicroeconomicsDDC classification: 330.0151 | 330 Online resources: Click here to access online
Contents:
Cooperative Games with Crisp Coalitions -- Preliminaries -- Cores and Related Solution Concepts -- The Shapley Value and the ?-Value -- Classes of Cooperative Crisp Games -- Cooperative Games with Fuzzy Coalitions -- Preliminaries -- Solution Concepts for Fuzzy Games -- Convex Fuzzy Games -- Fuzzy Clan Games -- Multichoice Games -- Preliminaries -- Solution Concepts for Multichoice Games -- Classes of Multichoice Games.
In: Springer eBooksSummary: 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 properties of these solution concepts and their interrelations on several classes of crisp, fuzzy, and multi-choice games are studied. Applications of the investigated models to many economic situations are indicated as well.
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Cooperative Games with Crisp Coalitions -- Preliminaries -- Cores and Related Solution Concepts -- The Shapley Value and the ?-Value -- Classes of Cooperative Crisp Games -- Cooperative Games with Fuzzy Coalitions -- Preliminaries -- Solution Concepts for Fuzzy Games -- Convex Fuzzy Games -- Fuzzy Clan Games -- Multichoice Games -- Preliminaries -- Solution Concepts for Multichoice Games -- Classes of Multichoice Games.

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 properties of these solution concepts and their interrelations on several classes of crisp, fuzzy, and multi-choice games are studied. Applications of the investigated models to many economic situations are indicated as well.

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