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Uncertainty Of The Shapley Value

Author

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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.

Suggested Citation

  • Vladislav Kargin, 2005. "Uncertainty Of The Shapley Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 517-529.
    • Handle: RePEc:wsi:igtrxx:v:07:y:2005:i:04:n:s0219198905000685
    DOI: 10.1142/S0219198905000685
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    References listed on IDEAS

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    1. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    2. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
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    Cited by:

    1. Del Castillo, Maria Fernanda & Dimitrakopoulos, Roussos, 2016. "A multivariate destination policy for geometallurgical variables in mineral value chains using coalition-formation clustering," Resources Policy, Elsevier, vol. 50(C), pages 322-332.
    2. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
    3. Karl Michael Ortmann, 2016. "The link between the Shapley value and the beta factor," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(2), pages 311-325, November.

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    More about this item

    Keywords

    Shapley value; strategic risk; bargaining uncertainty; 91A12; 91A30; 91B50;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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