Probabilistic Owen-Shapley spatial power indices

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 probabil...

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Detalles Bibliográficos
Autores: Albizuri Irigoyen, Miren Iosune, Goikoetxea Atxabal, Alex
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/68160
Acceso en línea:http://hdl.handle.net/10810/68160
Access Level:acceso abierto
Palabra clave:power index
the spatial Owen-Shapley index
probabilistic spatial power indices
Descripción
Sumario: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.