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Membership separability: A new axiomatization of the Shapley value

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  • de Clippel, Geoffroy

Abstract

The paper shows that Shapley's axiomatic characterization of his value can be strengthened considerably. Indeed, his additivity axiom can be replaced by a simple accounting property whereby a player's payoff is the difference of a reward based on the worth of coalitions to which she belongs, and a tax based on the worth of coalition to which she does not belong, without placing any restriction whatsoever on the functional relationship between the reward or the tax and the worths that determine them.

Suggested Citation

  • de Clippel, Geoffroy, 2018. "Membership separability: A new axiomatization of the Shapley value," Games and Economic Behavior, Elsevier, vol. 108(C), pages 125-129.
    • Handle: RePEc:eee:gamebe:v:108:y:2018:i:c:p:125-129
    DOI: 10.1016/j.geb.2017.09.004
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    References listed on IDEAS

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    Cited by:

    1. Sylvain Béal & Florian Navarro, 2020. "Necessary versus equal players in axiomatic studies," Working Papers 2020-01, CRESE.
    2. Shin Kobayashi, 2021. "A Characterization of the Shapley Value based on “Equal Excess"," Working Papers 2120, Waseda University, Faculty of Political Science and Economics.

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    More about this item

    Keywords

    Cooperative games; Shapley value; Axioms;
    All these keywords.

    JEL classification:

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

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