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Probabilistic Owen-Shapley spatial power indices

Author

Listed:
  • Albizuri, M.J.
  • Goikoetxea, A.

Abstract

In this paper we study probabilistic Owen-Shapley spatial power indices, which are generalizations of the Owen-Shapley spatial power index (1977). We provide an explicit formula for calculating these spatial indices for unanimity games and give an axiomatic characterization of the family of probabilistic Owen-Shapley spatial power indices. We employ an equal power change property, a spatial dummy property, anonymity, a positional invariance property, and a positional continuity property. Some examples are also given.

Suggested Citation

  • Albizuri, M.J. & Goikoetxea, A., 2022. "Probabilistic Owen-Shapley spatial power indices," Games and Economic Behavior, Elsevier, vol. 136(C), pages 524-541.
    • Handle: RePEc:eee:gamebe:v:136:y:2022:i:c:p:524-541
    DOI: 10.1016/j.geb.2022.10.004
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    References listed on IDEAS

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    More about this item

    Keywords

    Power index; The spatial Owen-Shapley index; Probabilistic spatial power indices;
    All these keywords.

    JEL classification:

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

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