Probabilistic Owen-Shapley spatial power indices

M.J Albizuri,A Goikoetxea

doi:10.1016/j.geb.2022.10.004

Probabilistic Owen-Shapley spatial power indices

M.J Albizuri, A Goikoetxea

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https://doi.org/10.1016/j.geb.2022.10.004

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Journal: Games and Economic Behavior	Publication Date: Oct 26, 2022
License type: cc-by-nc-nd

Affiliation: University of the Basque Country

#Spatial Indices #Probabilistic Power + Show 8 more

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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.

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