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Compromising In Partition Function Form Games And Cooperation In Perfect Extensive Form Games

Author

Listed:
  • E. FUKUDA

    (Department of Value and Decision Science, Graduate School of Decision Science and Technology, Tokyo Institute of Technology, Japan)

  • S. H. TIJS

    (Center and Department of Econometrics and Operations Research, Tilburg University, The Netherlands)

  • R. BRÂNZEI

    (Faculty of Computer Science, 'Alexandru Ioan Cuza' University, Iasi, Romania)

  • S. MUTO

    (Department of Value and Decision Science, Graduate School of Decision Science and Technology, Tokyo Institute of Technology, Japan)

Abstract

In this paper reasonable payoff intervals for players in a game in partition function form (p.f.f. game) are introduced and used to define the notion of compromisable p.f.f. game. For a compromisable p.f.f. game a compromise value is defined for which an axiomatic characterization is provided. Also a generic subclass of games in extensive form of perfect information without chance moves is introduced. For this class of perfect extensive form games there is a natural credible way to define a p.f.f. game if the players consider cooperation. It turns out that the p.f.f. games obtained in this way are compromisable.

Suggested Citation

  • E. Fukuda & S. H. Tijs & R. Brânzei & S. Muto, 2006. "Compromising In Partition Function Form Games And Cooperation In Perfect Extensive Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(03), pages 329-338.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:03:n:s0219198906000941
    DOI: 10.1142/S0219198906000941
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    References listed on IDEAS

    as
    1. Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004. "Hypercubes and compromise values for cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 155(3), pages 733-740, June.
    2. Kim Hang Pham Do & Henk Norde, 2007. "The Shapley Value For Partition Function Form Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
    3. Pham Do, K.H., 2003. "Essays in game theory and natural resource management," Other publications TiSEM 2ee68845-0f06-484b-bd17-c, Tilburg University, School of Economics and Management.
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    More about this item

    Keywords

    Partition function form games; compromise value; comprisable games; extensive form games (with perfect information);
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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