Skip to main content
SpringerLink
Log in

Models in Cooperative Game Theory

Crisp, Fuzzy, and Multi-Choice Games

  • Book
  • © 2005

Overview

Authors:
  1. Rodica Branzei

    1. Faculty of Computer Science, Alexandru Ioan Cuza University, Iasi, Romania

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Dinko Dimitrov

    1. University of Bielefeld, Bielefeld, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Stef Tijs

    1. Faculty of Economics and Business Administration, Tilburg University, LE Tilburg, The Netherlands

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 556)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 64.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Cooperative Games with Crisp Coalitions

    1. Preliminaries

      Pages 5-11

    2. Cores and Related Solution Concepts

      Pages 13-21

    3. The Shapley Value and the Ï„-Value

      Pages 23-30

    4. Classes of Cooperative Crisp Games

      Pages 31-44

  3. Cooperative Games with Fuzzy Coalitions

    1. Preliminaries

      Pages 49-52

    2. Solution Concepts for Fuzzy Games

      Pages 53-66

    3. Convex Fuzzy Games

      Pages 67-87

    4. Fuzzy Clan Games

      Pages 89-100

  4. Multichoice Games

    1. Preliminaries

      Pages 105-107

    2. Solution Concepts for Multichoice Games

      Pages 109-119

    3. Classes of Multichoice Games

      Pages 121-128

  5. Back Matter

    Pages 129-135
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

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)

Authors and Affiliations

  • Faculty of Computer Science, Alexandru Ioan Cuza University, Iasi, Romania

    Rodica Branzei

  • University of Bielefeld, Bielefeld, Germany

    Dinko Dimitrov

  • Faculty of Economics and Business Administration, Tilburg University, LE Tilburg, The Netherlands

    Stef Tijs

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation