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The Shapley-Shubik Index in the Presence of Externalities

Author

Listed:
  • Mikel Alvarez-Mozos

    (Universitat de Barcelona)

  • José María Alonso-Meijide

    (Universidade de Santiago de Compostela)

  • María Gloria Fiestras-Janeiro

    (Universidade de Vigo)

Abstract

In this note we characterize the restriction of the externality-free value of de Clippel and Serrano (2008) to the class of simple games with externalities introduced in Alonso-Meijide et al. (2015).

Suggested Citation

  • Mikel Alvarez-Mozos & José María Alonso-Meijide & María Gloria Fiestras-Janeiro, 2016. "The Shapley-Shubik Index in the Presence of Externalities," UB School of Economics Working Papers 2016/342, University of Barcelona School of Economics.
    • Handle: RePEc:ewp:wpaper:342web
    as

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    File URL: http://diposit.ub.edu/dspace/bitstream/2445/99141/1/E16-342_AlvarezMozos_Shapley.pdf
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    References listed on IDEAS

    as
    1. Geoffroy de Clippel & Roberto Serrano, 2008. "Marginal Contributions and Externalities in the Value," Econometrica, Econometric Society, vol. 76(6), pages 1413-1436, November.
    2. Dutta, Bhaskar & Ehlers, Lars & Kar, Anirban, 2010. "Externalities, potential, value and consistency," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2380-2411, November.
    3. Bolger, E M, 1986. "Power Indices for Multicandidate Voting Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 175-186.
    4. M. J. Albizuri & J. Arin & J. Rubio, 2005. "An Axiom System For A Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 63-72.
    5. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    6. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    7. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Externality-free value; Shapley--Shubik index; Partition function.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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