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Procedural and Optimization Implementation of the Weighted ENSC Value

Author

Listed:
  • Dongshuang Hou

    (Department of Applied Mathematics, Northwestern Polytechnical University)

  • Aymeric Lardon

    (Université Côte d'Azur, France
    GREDEG CNRS)

  • Panfei Sun

    (Department of Applied Mathematics, Northwestern Polytechnical University)

  • Hao Sun

    (Department of Applied Mathematics, Northwestern Polytechnical University)

Abstract

The main purpose of this article is to introduce the weighted ENSC value for cooperative transferable utility games which takes into account players' selfishness about the payoff allocations. Similarly to Shapley's idea of a one-by-one formation of the grand coalition (Shapley, 1953), we first provide a procedural implementation of the weighted ENSC value depending on players' selfishness as well as their marginal contributions to the grand coalition. Second, in the spirit of the nucleolus (Schmeidler, 1969), we prove that the weighted ENSC value is obtained by lexicographically minimizing a complaint vector associated with a new complaint criterion relying on players' selfishness.

Suggested Citation

  • Dongshuang Hou & Aymeric Lardon & Panfei Sun & Hao Sun, 2018. "Procedural and Optimization Implementation of the Weighted ENSC Value," GREDEG Working Papers 2018-20, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
  • Handle: RePEc:gre:wpaper:2018-20
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    File URL: http://195.220.198.217/GREDEG-WP-2018-20.pdf
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    References listed on IDEAS

    as
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    3. Forsythe Robert & Horowitz Joel L. & Savin N. E. & Sefton Martin, 1994. "Fairness in Simple Bargaining Experiments," Games and Economic Behavior, Elsevier, vol. 6(3), pages 347-369, May.
    4. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Sylvain Béal & Marc Deschamps & Philippe Solal, 2016. "Comparable Axiomatizations of Two Allocation Rules for Cooperative Games with Transferable Utility and Their Subclass of Data Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(6), pages 992-1004, December.
    6. Marcin Malawski, 2013. "“Procedural” values for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 305-324, February.
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    Cited by:

    1. Dongshuang Hou & Qianqian Kong & Xia Zhang & Hao Sun, 2021. "Adjacent Downstream Compensation Method of Sharing Polluted Rivers," Group Decision and Negotiation, Springer, vol. 30(1), pages 251-265, February.

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    More about this item

    Keywords

    TU-game; weighted ENSC value; allocation scenario; selissh complaint;
    All these keywords.

    JEL classification:

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

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