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The Shapley-Shubik index for multi-criteria simple games

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  • Monroy, Luisa
  • Fernández, Francisco R.

Abstract

In this paper we address multi-criteria simple games which constitute an extension of the basic framework of voting systems and related social-choice situations. For these games, we propose the extended Shapley-Shubik index as the natural generalization of the Shapley-Shubik index in conventional simple games, and establish an axiomatic characterization of this power index.

Suggested Citation

  • Monroy, Luisa & Fernández, Francisco R., 2011. "The Shapley-Shubik index for multi-criteria simple games," European Journal of Operational Research, Elsevier, vol. 209(2), pages 122-128, March.
    • Handle: RePEc:eee:ejores:v:209:y:2011:i:2:p:122-128
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    References listed on IDEAS

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    6. Josep Freixas & William S. Zwicker, 2003. "Weighted voting, abstention, and multiple levels of approval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 399-431, December.
    7. Algaba, E. & Bilbao, J. M. & Fernandez Garcia, J. R. & Lopez, J. J., 2003. "Computing power indices in weighted multiple majority games," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 63-80, August.
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    9. Marmol, A.M. & Monroy, L. & Rubiales, V., 2007. "An equitable solution for multicriteria bargaining games," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1523-1534, March.
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    Cited by:

    1. Luisa Monroy & Francisco Fernández, 2014. "Banzhaf index for multiple voting systems. An application to the European Union," Annals of Operations Research, Springer, vol. 215(1), pages 215-230, April.
    2. Luisa Monroy & Francisco Fernández, 2012. "Stable sets and cores for multi-criteria simple games and for their extensions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 1-22, June.
    3. Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2020. "Weighted committee games," European Journal of Operational Research, Elsevier, vol. 282(3), pages 972-979.
    4. Gusev, Vasily V., 2023. "Set-weighted games and their application to the cover problem," European Journal of Operational Research, Elsevier, vol. 305(1), pages 438-450.
    5. Gusev, Vasily V., 2020. "The vertex cover game: Application to transport networks," Omega, Elsevier, vol. 97(C).
    6. Molinero, Xavier & Riquelme, Fabián & Serna, Maria, 2015. "Cooperation through social influence," European Journal of Operational Research, Elsevier, vol. 242(3), pages 960-974.

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