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Weak fairness and the Shapley value

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  • Calleja, Pere
  • Llerena Garrés, Francesc
Abstract
The Shapley value (Shapley, 1953) has been axiomatically characterized from different points of view. Van den Brink (2001) proposes a characterization by means of efficiency, fairness and the null player property. In this paper, we characterize the family of single-valued solutions obtained by relaxing fairness into weak fairness. To point out the Shapley value, we impose the additional axiom of weak self consistency and strengthen the null player property into the dummy player property.

Suggested Citation

  • Calleja, Pere & Llerena Garrés, Francesc, 2018. "Weak fairness and the Shapley value," Working Papers 2072/306979, Universitat Rovira i Virgili, Department of Economics.
  • Handle: RePEc:urv:wpaper:2072/306979
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    File URL: http://hdl.handle.net/2072/306979
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    References listed on IDEAS

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    1. René Brink & Youngsub Chun & Yukihiko Funaki & Boram Park, 2016. "Consistency, population solidarity, and egalitarian solutions for TU-games," Theory and Decision, Springer, vol. 81(3), pages 427-447, September.
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    Jocs cooperatius (Matemàtica); 33 - Economia;

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