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Minimum norm solutions for cooperative games

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  • Klaus Kultti
  • Hannu Salonen

Abstract

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Suggested Citation

  • Klaus Kultti & Hannu Salonen, 2007. "Minimum norm solutions for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 591-602, April.
    • Handle: RePEc:spr:jogath:v:35:y:2007:i:4:p:591-602
    DOI: 10.1007/s00182-007-0070-9
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    References listed on IDEAS

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    1. Kleinberg, Norman L. & Weiss, Jeffrey H., 1985. "A new formula for the Shapley value," Economics Letters, Elsevier, vol. 17(4), pages 311-315.
    2. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Ruiz, Luis M. & Valenciano, Federico & Zarzuelo, Jose M., 1998. "The Family of Least Square Values for Transferable Utility Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 109-130, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ulrich Faigle & Michel Grabisch, 2019. "Least Square Approximations and Linear Values of Cooperative Game," Post-Print halshs-02381231, HAL.
    2. Stern, Ari & Tettenhorst, Alexander, 2019. "Hodge decomposition and the Shapley value of a cooperative game," Games and Economic Behavior, Elsevier, vol. 113(C), pages 186-198.
    3. L. Hernández-Lamoneda & R. Juárez & F. Sánchez-Sánchez, 2007. "Dissection of solutions in cooperative game theory using representation techniques," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(3), pages 395-426, February.
    4. Norman Kleinberg & Jeffrey Weiss, 2013. "On membership and marginal values," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 357-373, May.
    5. Borkotokey, Surajit & Kumar, Rajnish & Sarangi, Sudipta, 2015. "A solution concept for network games: The role of multilateral interactions," European Journal of Operational Research, Elsevier, vol. 243(3), pages 912-920.
    6. Xu, Genjiu & Driessen, Theo S.H. & Sun, Hao & Su, Jun, 2013. "Consistency for the additive efficient normalization of semivalues," European Journal of Operational Research, Elsevier, vol. 224(3), pages 566-571.
    7. Tongseok Lim, 2021. "A Hodge theoretic extension of Shapley axioms," Papers 2106.15094, arXiv.org, revised Sep 2021.
    8. L. Hernández-Lamoneda & F. Sánchez-Sánchez, 2010. "Rankings and values for team games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 319-350, July.

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    More about this item

    Keywords

    Cooperative games; Solutions; Minimum norm; Banzhaf value; C71;
    All these keywords.

    JEL classification:

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

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