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Uncertainty Of The Shapley Value

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  • VLADISLAV KARGIN

    ()
    (Cornerstone Research and NYU, 599 Lexington Avenue, New York, NY 10022, USA)

Abstract

This paper defines a measure of bargaining uncertainty that quantifies Roth's concept of strategic risk. It shows how this measure can be used for checking reliability of the Shapley value in cost allocation problems and in the theory of competitive equilibrium. Salient properties of the new measure are investigated and illustrated by examples of majority voting and market games and by a cost allocation problem from epidemiology.

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 07 (2005)
Issue (Month): 04 ()
Pages: 517-529

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Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:04:p:517-529

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Related research

Keywords: Shapley value; strategic risk; bargaining uncertainty; 91A12; 91A30; 91B50;

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  1. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, Econometric Society, vol. 64(2), pages 357-80, March.
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Cited by:
  1. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, Springer, vol. 16(1), pages 1-41, July.

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