Rationalizing Choice Functions by Multiple Rationales

Gil Kalai (), Ariel Rubenstein and Ran Spiegler ()
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Gil Kalai: Institute of Mathematics, Hebrew University, Jerusalem

No 10, Economics Working Papers from Institute for Advanced Study, School of Social Science

Abstract: The paper presents a notion of rationalizing choice functions that violate the “Independence of Irrelevant Alternatives” axiom. A collection of linear orderings is said to provide a rationalization by multiple rationales for a choice function if the choice from any choice set can be rationalized by one of the orderings. We characterize a tight upper bound on the minimal number of orderings that is required to rationalize arbitrary choice functions, and calculate the minimal number for several specific choice procedures.

Pages: 8 pages
Date: 2001-10
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Published in Econometrica, Volume 70, November 2002, 2481-2488

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Related works:
Journal Article: Rationalizing Choice Functions By Multiple Rationales (2002)
Working Paper: Rationalizing Choice Functions by Multiple Rationales (2001)
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