A Comment on Nash’s Independence of Irrelevant Alternatives Assumption for Choice Problems
Abstract
In a recent paper, campbel (1994) shows that if a choice correspondence satisfies Arrow’s choice axiom than it has a complete, reflexive and transitive rationalization, even if the domain does not include any set with fewer then a member, where is a given positive integer. The purpose of this paper is to provide a simpler proof (than the one provided by Campbell) of the same results when the choice correspondences are single – valued i.e, the case of choice is formally equivalent to Nash’s independence of Irrelevant Alternatives assumption.
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