Citation:
Gil Kalai, A. R., & Spiegler, R. . (2001). Rationalizing Choice Functions by Multiple Rationales. Discussion Papers. presented at the 11, Econometrica 70 (2002), 2481-2488. Retrieved from /files/dp278.pdf
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.