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Economics/Finances Models in Cooperative Game Theory

Posted on 2010-03-16




Name:Economics/Finances Models in Cooperative Game Theory
ASIN/ISBN:3540779531
Language:English
File size:1.1 Mb
Publish Date: 2008
ISBN: 3540779531
Pages: 203 pages
File Type: PDF
File Size: 1,1 MB
Other Info: Springer; 2 ed
   Economics/Finances Models in Cooperative Game Theory

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Rodica Branzei, Dinko Dimitrov, Stef Tijs, "Models in Cooperative Game Theory"

Review

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 classical cooperative games with transferable utility and some game models in which the players have the possibility to cooperate partially, that is, fuzzy games and multichoice games. The book is written very clearly, being a rich review of the most essential notions and theorems (with proofs) in these topics." (Tadeusz Radzik, Zentralblatt MATH, Vol. 1079, 2006)

Description

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 cooperation 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. The second edition is highly enlarged and contains new results and additional sections in the different chapters as well as one new chapter.

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