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Balanced contributions based on indirect claims and the Shapley value

Author

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  • Kongo, Takumi

Abstract

We provide a new axiom that is weaker than the balanced contributions property but stronger than the balanced cycle contributions property. It axiomatizes the Shapley value, together with efficiency and a weaker variation of the null player out property.

Suggested Citation

  • Kongo, Takumi, 2018. "Balanced contributions based on indirect claims and the Shapley value," Economics Letters, Elsevier, vol. 167(C), pages 48-50.
    • Handle: RePEc:eee:ecolet:v:167:y:2018:i:c:p:48-50
    DOI: 10.1016/j.econlet.2018.03.008
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    References listed on IDEAS

    as
    1. Jean J. M. Derks & Hans H. Haller, 1999. "Null Players Out? Linear Values For Games With Variable Supports," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(03n04), pages 301-314.
    2. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2016. "Axiomatic characterizations under players nullification," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 47-57.
    3. Yoshio Kamijo & Takumi Kongo, 2010. "Axiomatization of the Shapley value using the balanced cycle contributions property," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 563-571, October.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Casajus, André, 2021. "Weakly balanced contributions and the weighted Shapley values," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    2. Kjell Hausken, 2020. "The Shapley value of coalitions to other coalitions," Palgrave Communications, Palgrave Macmillan, vol. 7(1), pages 1-10, December.
    3. Casajus, André, 2018. "Symmetry, mutual dependence, and the weighted Shapley values," Journal of Economic Theory, Elsevier, vol. 178(C), pages 105-123.

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    More about this item

    Keywords

    Axiomatization; Balanced contribution; Null player out; Shapley value;
    All these keywords.

    JEL classification:

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

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