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.
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Paper provided by Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem in its series Discussion Paper Series with number
dp278.
Length: 9 pages Date of creation: Oct 2001 Date of revision: Publication status: Published in Econometrica, 2002, vol. 70, pp. 2481-2488. Handle: RePEc:huj:dispap:dp278
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Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
Chambers, Christopher P. & Hayashi, Takashi, 2008.
"Choice and individual welfare,"
Working Papers
1286, California Institute of Technology, Division of the Humanities and Social Sciences.
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