Models in Cooperative Game Theory

  • Rodica Branzei
  • Dinko Dimitrov
  • Stef Tijs

Table of contents

  1. Front Matter
    Pages I-XI
  2. Cooperative Games with Crisp Coalitions

  3. Cooperative Games with Fuzzy Coalitions

    1. Front Matter
      Pages 73-76
    2. Pages 77-81
    3. Pages 103-125
    4. Pages 127-139
  4. Multi-Choice Games

    1. Front Matter
      Pages 141-143
    2. Pages 145-148
  5. Back Matter
    Pages 193-203

About this book

Introduction

Cooperative game theory is a booming research area with many new developments in the last few years. So, our main purpose when prep- ing the second edition was to incorporate as much of these new dev- opments as possible without changing the structure of the book. First, this o?ered us the opportunity to enhance and expand the treatment of traditional cooperative games, called here crisp games, and, especially, that of multi-choice games, in the idea to make the three parts of the monograph more balanced. Second, we have used the opportunity of a secondeditiontoupdateandenlargethelistofreferencesregardingthe threemodels of cooperative games. Finally, we have bene?ted fromthis opportunity by removing typos and a few less important results from the ?rst edition of the book, and by slightly polishing the English style and the punctuation, for the sake of consistency along the monograph. The main changes are: (1) Chapter 3 contains an additional section, Section 3. 3, on the - erage lexicographic value, which is a recent one-point solution concept de?ned on the class of balanced crisp games. (2) Chapter 4 is new. It o?ers a brief overview on solution c- cepts for crisp games from the point of view of egalitarian criteria, and presents in Section 4. 2 a recent set-valued solution concept based on egalitarian considerations, namely the equal split-o? set. (3)Chapter5isbasicallyanenlargedversionofChapter4ofthe?rst edition because Section 5. 4 dealing with the relation between convex games and clan games with crisp coalitions is new.

Keywords

Finite Multi-choice Games addition agents average cooperation cooperative game theory cooperative games fuzzy fuzzy games game theory games layers set

Authors and affiliations

  • Rodica Branzei
    • 1
  • Dinko Dimitrov
    • 2
  • Stef Tijs
    • 3
  1. 1.Faculty of Computer ScienceAlexandru Ioan Cuza UniversityIasiRomania
  2. 2.Chair of Microeconomics Faculty of Law and EconomicsUniversity of BayreuthBayreuthGermany
  3. 3.CentER and Department of Econometrics and Operations ResearchTilburg UniversityTilburgNetherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-77954-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-540-77953-7
  • Online ISBN 978-3-540-77954-4
  • About this book