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Monotonic allocation schemes in clan games

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  • Voorneveld, M.

    (Tilburg University, School of Economics and Management)

  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

  • Grahn, S.

Abstract

Total clan games are characterized using monotonicity, veto power of the clan members, and a concavity condition reflecting the decreasing marginal contribution of non-clan members to growing coalitions. This decreasing marginal contribution is incorporated in the notion of a bi-monotonic allocation scheme, where the value of each coalition is divided over its members in such a way that the clan members receive a higher, and the non-clan members a lower share as the coalitions grow larger. Each core element of a total clan game can be extended to both a population monotonic and a bi-monotonic allocation scheme. In total clan games where the clan consists of a single member (the so-called big boss) the use of the nucleolus as an allocation mechanism gives rise to a bi-monotonic allocation scheme. Copyright Springer-Verlag Berlin Heidelberg 2003
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Voorneveld, M. & Tijs, S.H. & Grahn, S., 2003. "Monotonic allocation schemes in clan games," Other publications TiSEM 7a863f2e-3800-450e-a71e-9, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:7a863f2e-3800-450e-a71e-9a105b0c807e
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    References listed on IDEAS

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    1. Brânzei, R. & Tijs, S.H. & Timmer, J.B., 2000. "Cooperative Games arising from Information Sharing Situations," Discussion Paper 2000-42, Tilburg University, Center for Economic Research.
    2. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Other publications TiSEM 488a314a-179c-4628-91e6-7, Tilburg University, School of Economics and Management.
    3. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    4. Potters, Jos & Poos, Rene & Tijs, Stef & Muto, Shigeo, 1989. "Clan games," Games and Economic Behavior, Elsevier, vol. 1(3), pages 275-293, September.
    5. Brânzei, R. & Tijs, S.H. & Timmer, J.B., 2000. "Cooperative Games arising from Information Sharing Situations," Other publications TiSEM 4d515653-cb23-4014-9660-8, Tilburg University, School of Economics and Management.
    6. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    7. Potters, J.A.M. & Poos, R. & Tijs, S.H. & Muto, S., 1989. "Clan games," Other publications TiSEM 1855e4e3-7392-4ef0-a073-8, Tilburg University, School of Economics and Management.
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    Cited by:

    1. Brânzei, R. & Solymosi, T. & Tijs, S.H., 2003. "Type Monotonic Allocation Schemes for Multi-Glove Games," Discussion Paper 2003-34, Tilburg University, Center for Economic Research.
    2. Tijs, S.H. & Brânzei, R. & Muto, S. & Ishihara, S. & Fukuda, E., 2002. "Fuzzy Clan Games and Bi-monotonic Allocation Rules," Other publications TiSEM b5200e92-83d8-4fd9-b7f2-9, Tilburg University, School of Economics and Management.
    3. Tijs, S.H. & Brânzei, R. & Muto, S. & Ishihara, S. & Fukuda, E., 2002. "Fuzzy Clan Games and Bi-monotonic Allocation Rules," Discussion Paper 2002-115, Tilburg University, Center for Economic Research.
    4. Brânzei, R. & Scotti, F. & Tijs, S.H. & Torre, A., 2002. "Discretization of Information Collecting Situations and Continuity of Compensation Rules," Discussion Paper 2002-18, Tilburg University, Center for Economic Research.
    5. Brânzei, R. & Scotti, F. & Tijs, S.H. & Torre, A., 2002. "Discretization of Information Collecting Situations and Continuity of Compensation Rules," Other publications TiSEM 329f159f-01a1-42b7-b8e2-7, Tilburg University, School of Economics and Management.
    6. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Big Boss Interval Games," Discussion Paper 2008-47, Tilburg University, Center for Economic Research.
    7. Alparslan-Gok, S.Z. & Brânzei, R. & Tijs, S.H., 2008. "Big Boss Interval Games," Other publications TiSEM af1490df-9a9d-4261-8e7d-3, Tilburg University, School of Economics and Management.

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