Models in Cooperative Game Theory / Lecture Notes in Economics and Mathematical Systems Bd.556 (PDF)

Name: Models in Cooperative Game Theory / Lecture Notes in Economics and Mathematical Systems Bd.556
Brand: Springer-Verlag GmbH
SKU: 29645827
Price: 56.99 EUR
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Crisp, Fuzzy, and Multi-Choice Games (Sprache: Englisch)

Autoren: Rodica Branzei , Dinko Dimitrov , Stef Tijs

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Models in Cooperative Game Theory / Lecture Notes in Economics and Mathematical Systems Bd.556, Rodica Branzei, Dinko Dimitrov, Stef Tijs

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This book investigates the classical model of cooperative games with transfer able utility (TU-games) and models in which the players have the possibility to cooperate partially, namely fuzzy and multichoice games. 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 infinitely many different participation levels, varying from non-cooperation to full cooperation. A multichoice game describes an intermediate case in which each player may have a fixed number of activity levels. Part I of the book is devoted to the most developed model in the theory of cooperative games, that of a classical TU-game with crisp coalitions, which we refer to as crisp game along the book. It presents basic notions, solutions concepts and classes of cooperative crisp games in such a way that allows the reader to use this part as a reference toolbox when studying the corresponding concepts from the theory of fuzzy games (Part II) and from the theory of multichoice games (Part III). The work on this book started while we were research fellows at ZiF (Biele feld) for the project "Procedural Approaches to Conflict Resolution", 2002.

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Autoren: Rodica Branzei , Dinko Dimitrov , Stef Tijs
2005, 2005, 135 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 3540285091
ISBN-13: 9783540285090
Erscheinungsdatum: 15.11.2005

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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 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)

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