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Communications to the Editor--A Note on the Shapley Value

Author

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  • Guillermo Owen

    (Fordham University)

Abstract

In Shapley, L. S. 1953. Additive and non-additive set functions. Ph.D. thesis, Department of Mathematics, Princeton University, Shapley considers a modification of his power index. The modified values are introduced via special weights. This note suggests that those weights should be thought of as coefficients of slowness to reach decision.

Suggested Citation

  • Guillermo Owen, 1968. "Communications to the Editor--A Note on the Shapley Value," Management Science, INFORMS, vol. 14(11), pages 731-731, July.
  • Handle: RePEc:inm:ormnsc:v:14:y:1968:i:11:p:731-731
    DOI: 10.1287/mnsc.14.11.731
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    File URL: http://dx.doi.org/10.1287/mnsc.14.11.731
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    Cited by:

    1. Ghintran, Amandine, 2013. "Weighted position values," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 157-163.
    2. Demuynck, Thomas & Rock, Bram De & Ginsburgh, Victor, 2016. "The transfer paradox in welfare space," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 1-4.
    3. Ori Haimanko, 2018. "Generalized Coleman-Shapley Indices And Total-Power Monotonicity," Working Papers 1813, Ben-Gurion University of the Negev, Department of Economics.
    4. repec:wsi:igtrxx:v:19:y:2017:i:03:n:s0219198917500128 is not listed on IDEAS
    5. Dehez, P., 2015. "On Harsanyi dividends and asymmetrid values," CORE Discussion Papers 2015040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Sabien Dobbelaere & Roland Iwan Luttens, 2011. "Collective Bargaining under Non-binding Contracts," Tinbergen Institute Discussion Papers 11-041/3, Tinbergen Institute.
    7. Emilio Calvo & Esther Gutiérrez-López, 2017. "Asymmetric players in the Solidarity and Shapley values," Discussion Papers in Economic Behaviour 0217, University of Valencia, ERI-CES.
    8. Pierre Dehez, 2017. "On Harsanyi Dividends and Asymmetric Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.

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