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Cooperative games with size-truncated

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We study the marginal worth vectors and their convex hull, the socalled Weber set, from the original coalitional game and the transformed one, which is called the Weber set of level k. We prove that the core of the original game is included in each of the Weber set of level k, for any k, and that the Weber sets of consecutive levels form a chain if and only if the original game is 0-monotone. Even if the game is not 0-monotone, the intersection of the Weber sets for consecutive levels is always not empty, what is not the case for nonconsecutive ones. Spanish education system.

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  • F. Javier Martínez-de-Albéniz, 2013. "Cooperative games with size-truncated," UB School of Economics Working Papers 2013/301, University of Barcelona School of Economics.
    • Handle: RePEc:ewp:wpaper:301web
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    1. van den Nouweland, Anne & Borm, Peter & Tijs, Stef, 1992. "Allocation Rules for Hypergraph Communication Situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 255-268.
    2. Derks, J J M, 1992. "A Short Proof of the Inclusion of the Core in the Weber Set," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(2), pages 149-150.
    3. Alegre, Antoni & Claramunt, M. Merce, 1995. "Allocation of solvency cost in group annuities: Actuarial principles and cooperative game theory," Insurance: Mathematics and Economics, Elsevier, vol. 17(1), pages 19-34, August.
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    More about this item

    Keywords

    Cooperative game; core; Weber set; marginal worth vectors;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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