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Partition Function Form Games

Coalitional Games with Externalities

  • Book
  • © 2018

Overview

Authors:
  1. László Á. Kóczy

    1. Institute of Economics, Centre for Economics and Regional Studies, Hungarian Academy of Sciences and Keleti Faculty of Business and Management, Óbuda University, Budapest, Hungary

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  • The first-ever volume on partition function form games
  • Offers a comprehensive and systematic state-of-the-art overview
  • Numerous illustrations help the reader to grasp the intuition behind theories
  • Includes results for a wide range of applications

Part of the book series: Theory and Decision Library C (TDLC, volume 48)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Foundations

    1. Front Matter

      Pages 1-1
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    2. Purpose of the book

      • László Á. Kóczy
      Pages 3-6

    3. Terminology and Notation

      • László Á. Kóczy
      Pages 7-18

    4. Preliminaries

      • László Á. Kóczy
      Pages 19-59

  3. Stability

    1. Front Matter

      Pages 61-61
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    2. Dominance

      • László Á. Kóczy
      Pages 63-69

    3. The Core

      • László Á. Kóczy
      Pages 71-105

    4. Implementation of the Core

      • László Á. Kóczy
      Pages 107-141

    5. Other stability concepts

      • László Á. Kóczy
      Pages 143-150

  4. Fairness

    1. Front Matter

      Pages 151-151
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    2. Axioms

      • László Á. Kóczy
      Pages 153-171

    3. The Shapley-value

      • László Á. Kóczy
      Pages 173-200

    4. Other values

      • László Á. Kóczy
      Pages 201-221

  5. Applications

    1. Front Matter

      Pages 223-223
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    2. Oligopoly Models

      • László Á. Kóczy
      Pages 225-237

    3. Environmental Applications

      • László Á. Kóczy
      Pages 239-268

    4. Femtocell Networks

      • László Á. Kóczy
      Pages 269-279

    5. Further Applications

      • László Á. Kóczy
      Pages 281-287

  6. Back Matter

    Pages 289-312
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Keywords

About this book

This book presents a systematic overview on partition function form games: a game form in cooperative game theory to integrate externalities for various applications. Cooperative game theory has been immensely useful to study a wide range of issues, but the standard approaches ignore the side effects of cooperation. Recently interest shifted to problems where externalities play the main roles such as models of cooperation in market competition or the shared use of public resources. Such problems require richer models that can explicitly evaluate the side-effects of cooperation. In partition function form games the value of cooperation depends on the outsiders' actions. A recent surge of interest driven by applications has made results very fragmented. This book offers an accessible, yet comprehensive and systematic study of properties, solutions and applications of partition function games surveying both theoretical results and their applications. It assembles a survey of existing research and smaller original results as well as original interpretations and comparisons. The book is self-contained and accessible for readers with little or no knowledge of cooperative game theory.




Authors and Affiliations

  • Institute of Economics, Centre for Economics and Regional Studies, Hungarian Academy of Sciences and Keleti Faculty of Business and Management, Óbuda University, Budapest, Hungary

    László Á. Kóczy

About the author

László Á. Kóczy graduated from the University of Cambridge reading mathematics and computer science, but turned to economics and completed his M.Sc. and Ph.D. at the Catholic University Leuven under the supervision of Luc Lauwers. He spent some years at Maastricht University before returning to Hungary, to Óbuda University. In 2010 he was the first social scientist to obtain the prestigious Momentum Grant of the Hungarian Academy of Sciences allowing him to set up his Game Theory Research Group at the Centre for Economics and Regional Studies. Kóczy has made contributions to scientometrics and social choice, but his main field of research is cooperative game theory: cooperative games with externalities and power indices.
László Á. Kóczy is member of the Game Theory Society, the Society for Social Choice and Welfare and a founding member and former president of the Hungarian Society for Economists. He has published over thirty papers in journals including Games and Economic Behavior, Economic Theory, and Social Choice and Welfare.

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