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Big Boss Interval Games

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

    (Tilburg University, Center for Economic Research)

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    Abstract

    In this paper big boss interval games are introduced and various characterizations are given. The structure of the core of a big boss interval game is explicitly described and plays an important role relative to interval-type bi-monotonic allocation schemes for such games. Specifically, each element of the interval core of a big boss interval game is extendable to a bi-monotonic allocation scheme. Furthermore, on the class of big boss interval games two interval solution concepts of value type are defined which can be seen as extensions of the compromise value and the AL-value to the interval setting. It turns out that these interval solutions coincide and generate a bi-monotonic allocation scheme for each big boss interval game.

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    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2008-47.

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    Date of creation: 2008
    Date of revision:
    Handle: RePEc:dgr:kubcen:200847

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

    Related research

    Keywords: Cooperative games; interval data; big boss games; bi-monotonic allocation schemes; the AL-value; the compromise value;

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    References

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    1. Tijs, S.H. & Meca, A. & Lopez, M.A., 2005. "Benefit sharing in holding situations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-142687, Tilburg University.
    2. Tijs, S.H., 1990. "Big boss games, clan games and information market games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-152776, Tilburg University.
    3. Voorneveld, M. & Tijs, S.H. & Grahn, S., 2003. "Monotonic allocation schemes in clan games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-91573, Tilburg University.
    4. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Convex Interval Games," Discussion Paper 2008-37, Tilburg University, Center for Economic Research.
    5. Tijs, S.H., 2005. "The First Steps with Alexia, the Average Lexicographic Value," Discussion Paper 2005-123, Tilburg University, Center for Economic Research.
    6. Brânzei, R. & Tijs, S.H. & Timmer, J.B., 2001. "Information collecting situations and bi-monotonic allocation schemes," Open Access publications from Tilburg University urn:nbn:nl:ui:12-88210, Tilburg University.
    7. Muto, Shigeo & Potters, Jos & Tijs, Stef, 1989. "Information Market Games," International Journal of Game Theory, Springer, vol. 18(2), pages 209-26.
    8. Dinko Dimitrov & Stef Tijs & Rodica Branzei, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, AccessEcon, vol. 3(9), pages 1-8.
    9. Tijs, Stef & Meca, Ana & Lopez, Marco A., 2005. "Benefit sharing in holding situations," European Journal of Operational Research, Elsevier, vol. 162(1), pages 251-269, April.
    10. Muto, S. & Potters, J.A.M. & Tijs, S.H., 1989. "Information market games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154244, Tilburg University.
    11. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Cores and Stable Sets for Interval-Valued Games," Discussion Paper 2008-17, Tilburg University, Center for Economic Research.
    12. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154246, Tilburg University.
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    Cited by:
    1. Moretti, S. & Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Connection Situations under Uncertainty," Discussion Paper 2008-64, Tilburg University, Center for Economic Research.

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