Probabilistic Owen-Shapley spatial power indices

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Date
2022-11
Author
Albizuri Irigoyen, Miren Iosune
Goikoetxea, Alex
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  Estadisticas en RECOLECTA
(LA Referencia)

Games and Economic Behavior 136 : 524-541 (2022)
URI
http://hdl.handle.net/10810/68160
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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© 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0)
Except where otherwise noted, this item's license is described as © 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0)