期刊名称：SERIEs: Journal of the Spanish Economic Association
印刷版ISSN：1869-4187
电子版ISSN：1869-4195
出版年度：2012
卷号：3
期号：1-2
页码：143-156
DOI：10.1007/s13209-011-0043-x
出版社：Springer Berlin / Heidelberg
摘要：On several classes of n -person NTU games that have at least one Shapley NTU value, Aumann characterized this solution by six axioms: Non-emptiness, efficiency, unanimity, scale covariance, conditional additivity, and independence of irrelevant alternatives (IIA). Each of the first five axioms is logically independent of the remaining axioms, and the logical independence of IIA is an open problem. We show that for n = 2 the first five axioms already characterize the Shapley NTU value, provided that the class of games is not further restricted. Moreover, we present an example of a solution that satisfies the first five axioms and violates IIA for two-person NTU games ( N , V ) with uniformly p-smooth V ( N ).
