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Some Characterizations of Convex Interval Games

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  • Brânzei, R.
  • Tijs, S.H.
  • Alparslan-Gok, S.Z.

    (Tilburg University, Center for Economic Research)

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    Abstract

    This paper focuses on new characterizations of convex interval games using the notions of exactness and superadditivity. We also relate big boss interval games with concave interval games and obtain characterizations of big boss interval games in terms of exactness and subadditivity.

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    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2008-55.

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    Date of creation: 2008
    Date of revision:
    Handle: RePEc:dgr:kubcen:200855

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

    Related research

    Keywords: cooperative interval games; convex games; big boss games; superadditive games; marginal games; exact games;

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    References

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    1. Biswas, A. K. & Parthasarathy, T. & Potters, J. A. M. & Voorneveld, M., 1999. "Large Cores and Exactness," Games and Economic Behavior, Elsevier, vol. 28(1), pages 1-12, July.
    2. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2006. "Convex Games versus Clan Games," Discussion Paper 2006-58, Tilburg University, Center for Economic Research.
    3. Yaron Azrieli & Ehud Lehrer, 2007. "Extendable Cooperative Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 1069-1078, December.
    4. Brânzei, R. & Dimitrov, D.A. & Tijs, S.H., 2004. "A New Characterization of Convex Games," Discussion Paper 2004-109, Tilburg University, Center for Economic Research.
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    Cited by:
    1. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    2. Alparslan Gök, S.Z. & Branzei, O. & Branzei, R. & Tijs, S., 2011. "Set-valued solution concepts using interval-type payoffs for interval games," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 621-626.

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