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  • Book
  • © 2001

Fuzzy Cooperative Games

Cooperation with Vague Expectations

Authors:

  • Elementary introduction to a methodologically new view on the mathematical model of cooperation motivated by the fuzzy idea of its participants about the expected outcomes and profits
  • Illustration of technical results by numerous examples
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 72)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-XII
  2. Preliminaries

    1. Front Matter

      Pages 1-3
    2. Introduction

      • Milan Mareš
      Pages 5-8
    3. Fuzzy Quantities

      • Milan Mareš
      Pages 9-15
    4. Deterministic Coalition Games

      • Milan Mareš
      Pages 17-31
    5. Vagueness and Its Processing

      • Milan Mareš
      Pages 33-34
  3. Fuzzy Bargaining with Side-Payments

    1. Front Matter

      Pages 35-38
    2. Fuzzy Additivity and Related Topics

      • Milan Mareš
      Pages 39-54
    3. Fuzzy Core and Effective Coalitions

      • Milan Mareš
      Pages 55-66
    4. Fuzzy Convexity

      • Milan Mareš
      Pages 67-77
    5. Fuzzy Balancedness

      • Milan Mareš
      Pages 79-87
    6. Fuzzy Shapley Value

      • Milan Mareš
      Pages 89-93
  4. Fuzzy Bargaining Without Side-Payments

    1. Front Matter

      Pages 95-99
    2. Fuzzy Superoptimum

      • Milan Mareš
      Pages 101-109
  5. Alternative Approaches

    1. Front Matter

      Pages 135-137
    2. Linear Coalition Games

      • Milan Mareš
      Pages 139-146
    3. Strategic Background of Fuzzy Cooperation

      • Milan Mareš
      Pages 153-161

About this book

The present book deals with coalition games in which expected pay-offs are only vaguely known. In fact, this idea about vagueness of expectations ap­ pears to be adequate to real situations in which the coalitional bargaining anticipates a proper realization of the game with a strategic behaviour of players. The vagueness being present in the expectations of profits is mod­ elled by means of the theory of fuzzy set and fuzzy quantities. The fuzziness of decision-making and strategic behaviour attracts the attention of mathematicians and its particular aspects are discussed in sev­ eral works. One can mention in this respect in particular the book "Fuzzy and Multiobjective Games for Conflict Resolution" by Ichiro Nishizaki and Masatoshi Sakawa (referred below as [43]) which has recently appeared in the series Studies in Fuzziness and Soft Computing published by Physica-Verlag in which the present book is also apperaing. That book, together with the one you carry in your hands, form in a certain sense a complementary pair. They present detailed views on two main aspects forming the core of game theory: strategic (mostly 2-person) games, and coalitional (or cooperative) games. As a pair they offer quite a wide overview of fuzzy set theoretical approaches to game theoretical models of human behaviour.

Authors and Affiliations

  • Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Prague 8, Czech Republic

    Milan Mareš

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access