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A Comment on Nashs Independence of Irrelevant Alternatives Assumption for Choice Problems


  • Lahiri Somdeb


In a recent paper, Campbel (1994) shows that if a choice correspondence satisfies Arrow8217;s choice axiom then it has a complete, reflexive and transitive rationalization, even if the domain does not include any set with fewer then m members, where m 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 result when the choice correspondences are single – valued i.e., the case of choice functions. In such a situation Arrow’s choice axiom is formally equivalent to Nash’s Independence of Irrelevant Alternatives assumption.

Suggested Citation

  • Lahiri Somdeb, 1995. "A Comment on Nashs Independence of Irrelevant Alternatives Assumption for Choice Problems," IIMA Working Papers WP1995-07-01_01347, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:wp01347

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