Partition Function Form Games

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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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.

• Game theory
• Cooperative game theory
• Cooperative games with externalities
• Coalition formation
• Partition function form
• Behavioral expectations
• Core
• Shapley value
• Stable payoff configurations
• Public good games
• Oligopoly mergers
• International environmental agreements
• Stability of agreements

• 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

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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