文章基本信息

标题：An axiomatisation of the Banzhaf value and interaction index for multichoices games.
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作者：Mustapha Ridaoui ; Michel Grabisch ; Christophe Labreuche. 等
期刊名称：Documents de Travail du Centre d'Economie de la Sorbonne
印刷版ISSN：1955-611X
出版年度：2018
出版社：Centre d'Economie de la Sorbonne
摘要：We provide an axiomatisation of the Banzhaf value (or power index)and the Banzhaf interaction index for multichoice games, which are a generalisationof cooperative games with several levels of participation. Multichoice gamescan model any aggregation model in multicriteria decision making, provided theattributes take a finite number of values. Our axiomatisation uses standard axiomsof the Banzhaf value for classical games (linearity, null axiom, symmetry),an invariance axiom specific to the multichoice context, and a generalisation ofthe 2-efficiency axiom, characteristic of the Banzhaf value.
关键词：Banzhaf value; multicriteria decision aid; multichoice games; interaction