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Compromising in Partition Function Form Games and Cooperation in Perfect Extensive Form

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  • Fukuda, E.
  • Tijs, S.H.
  • Brânzei, R.
  • Muto, S.

    (Tilburg University, Center for Economic Research)

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    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.

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    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2002-117.

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    Date of creation: 2002
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    Handle: RePEc:dgr:kubcen:2002117

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    Web page: http://center.uvt.nl

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    Keywords: game theory;

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    1. CHANDER, Parkash & TULKENS, Henry, 1995. "The Core of an Economy with Multilateral Environmental Externalities," CORE Discussion Papers 1995050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Tijs, S.H. & Otten, G.J.M., 1993. "Compromise values in cooperative game theory," Research Memorandum 615, Tilburg University, Faculty of Economics and Business Administration.
    3. Tijs, S.H. & Lipperts, F.A.S., 1982. "The hypercube and the core cover of N-person cooperative games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154285, Tilburg University.
    4. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2004. "Hypercubes and compromise values for cooperative fuzzy games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-129330, Tilburg University.
    5. Fortin, Pierre & Keil, Manfred & Symons, James, 2001. "The Sources of Unemployment in Canada, 1967-91: Evidence from a Panel of Regions and Demographic Groups," Oxford Economic Papers, Oxford University Press, vol. 53(1), pages 67-93, January.
    6. Tijs, S.H. & Otten, G.J.M., 1993. "Compromise values in cooperative game theory," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154196, Tilburg University.
    7. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer, vol. 18(1), pages 37-44.
    8. Pham Do, K.H. & Norde, H.W., 2002. "The Shapley Value for Partition Function Form Games," Discussion Paper 2002-4, Tilburg University, Center for Economic Research.
    9. Stef Tijs & Gert-Jan Otten, 1993. "Compromise values in cooperative game theory," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 1(1), pages 1-36, December.
    10. Yukihiko Funaki & Takehiko Yamato, 1999. "The core of an economy with a common pool resource: A partition function form approach," International Journal of Game Theory, Springer, vol. 28(2), pages 157-171.
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