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Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices

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  • Agnieszka Rusinowska

    (GATE - Groupe d'analyse et de théorie économique - UL2 - Université Lumière - Lyon 2 - ENS LSH - Ecole Normale Supérieure Lettres et Sciences Humaines - CNRS - Centre National de la Recherche Scientifique)

Abstract

In the paper, we present some modifications of the Hoede-Bakker index defined in a social network in which players may influence each other. Due to influences of the other actors, the final decision of a player may be different from his original inclination. These modifications are defined for an arbitrary probability distribution over all inclination vectors. In particular, they concern a situation in which the inclination vectors may be not equally probable. Furthermore, byassuming special probability distributions over all inclination vectors, we construct modificationsof the Hoede-Bakker index that coincide with the Shapley-Shubik index and with the Holler-Packelindex, respectively.

Suggested Citation

  • Agnieszka Rusinowska, 2007. "Modifying the Hoede-Bakker index to the Shapley-Shubik and Holler-Packel indices," Post-Print halshs-00205020, HAL.
    • Handle: RePEc:hal:journl:halshs-00205020
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00205020
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    References listed on IDEAS

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    1. Agnieszka Rusinowska, 2007. "The not-preference-based Hoede-Bakker index," Post-Print halshs-00142482, HAL.
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    More about this item

    Keywords

    Hoede-Bakker index; inclination vector; probability distribution; Shapley-Shubik index; Holler-Packel index;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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