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Axiomatization of the core of positive games

Author

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  • Dehez, Pierre

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

Abstract

The core is an additive solution on the set of convex transferable utility games. We show that additivity, together with efficiency, individual rationality and the null player property, characterizes the core of positive games.

Suggested Citation

  • Dehez, Pierre, 2024. "Axiomatization of the core of positive games," LIDAM Discussion Papers CORE 2024011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2024011
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    References listed on IDEAS

    as
    1. Dragan, I. & Potters, J.A.M. & Tijs, S.H., 1989. "Superadditivity for solutions of coalitional games," Other publications TiSEM 283e2594-e3a0-418d-ae5e-2, Tilburg University, School of Economics and Management.
    2. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 27-39.
    3. Pierre Dehez & Pier Mario Pacini, 2024. "A note on the relation between the Shapley value and the core of 3-player transferable utility games," Economics Bulletin, AccessEcon, vol. 44(2), pages 611-619.
    4. Pierre Dehez, 2011. "Allocation Of Fixed Costs: Characterization Of The (Dual) Weighted Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 141-157.
    5. Dehez, Pierre & Pacini, Pier Mario, 2024. "A note on the relation between the Shapley value and the core of 3-player transferable utility games," LIDAM Discussion Papers CORE 2024001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Dehez, Pierre & Pacini, Pier Mario, 2024. "A note on the relation between the Shapley value and the core of 3-player transferable utility games," LIDAM Reprints CORE 3295, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Jean Derks & Hans Haller & Hans Peters, 2000. "The selectope for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 23-38.
    8. Zhao, Jingang, 2018. "Three little-known and yet still significant contributions of Lloyd Shapley," Games and Economic Behavior, Elsevier, vol. 108(C), pages 592-599.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Core ; convex games ; positive games;
    All these keywords.

    JEL classification:

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

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