Probabilistic Owen-Shapley spatial power indices

• 成果类型: Article
• 署名作者: Albizuri, M. J.; Goikoetxea, A.
• 署名单位: University of Basque Country
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2022.10.004
• 发表日期: 2022
• 页码: 524-541
• 关键词: Power index; The spatial Owen-Shapley index; Probabilistic spatial power indices

摘要

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.(c) 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/).