Rationalizing Choice Functions by Multiple Rationales

Authors: 
Gil Kalai, Ariel Rubinstein & Ran Spiegler
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.

Date: 
November, 2001
Published in: 
Econometrica 70 (2002), 2481-2488.
Number: 
278