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Differential marginality, van den Brink fairness, and the Shapley value

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  • André Casajus

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    File URL: http://hdl.handle.net/10.1007/s11238-009-9171-1
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    Bibliographic Info

    Article provided by Springer in its journal Theory and Decision.

    Volume (Year): 71 (2011)
    Issue (Month): 2 (August)
    Pages: 163-174

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    Handle: RePEc:kap:theord:v:71:y:2011:i:2:p:163-174

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    Web page: http://www.springerlink.com/link.asp?id=100341

    Related research

    Keywords: TU game; Superadditive game; Additivity; Solidarity; Convex cone;

    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Nowak, Andrzej S & Radzik, Tadeusz, 1994. "A Solidarity Value for n-Person Transferable Utility Games," International Journal of Game Theory, Springer, vol. 23(1), pages 43-48.
    2. René van den Brink, 2002. "An axiomatization of the Shapley value using a fairness property," International Journal of Game Theory, Springer, vol. 30(3), pages 309-319.
    3. van den Brink, Rene, 2007. "Null or nullifying players: The difference between the Shapley value and equal division solutions," Journal of Economic Theory, Elsevier, vol. 136(1), pages 767-775, September.
    4. Chun, Youngsub, 1989. "A new axiomatization of the shapley value," Games and Economic Behavior, Elsevier, vol. 1(2), pages 119-130, June.
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    Cited by:
    1. Sylvain Béal & Eric Rémila & Philippe Solal, 2012. "Axioms of Invariance for TU-games," Working Papers 2012-01, CRESE.
    2. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
    3. Casajus, André, 2014. "The Shapley value without efficiency and additivity," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 1-4.
    4. Casajus, André & Huettner, Frank, 2013. "Null players, solidarity, and the egalitarian Shapley values," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 58-61.
    5. C. Manuel & E. González-Arangüena & R. Brink, 2013. "Players indifferent to cooperate and characterizations of the Shapley value," Computational Statistics, Springer, vol. 77(1), pages 1-14, February.
    6. Casajus, André & Huettner, Frank, 2014. "On a class of solidarity values," European Journal of Operational Research, Elsevier, vol. 236(2), pages 583-591.

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