Probabilistic Owen-Shapley spatial power indices

M.J. Albizuri and A. Goikoetxea

Games and Economic Behavior, 2022, vol. 136, issue C, 524-541

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.

Keywords: Power index; The spatial Owen-Shapley index; Probabilistic spatial power indices (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:136:y:2022:i:c:p:524-541

DOI: 10.1016/j.geb.2022.10.004

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