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Rationalizing Choice Functions by Multiple Rationales

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  • 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.

Suggested Citation

  • Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Discussion Paper Series dp278, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp278
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    References listed on IDEAS

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    1. McFadden, Daniel, 1999. "Rationality for Economists?," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 73-105, December.
    2. Sen, Amartya, 1993. "Internal Consistency of Choice," Econometrica, Econometric Society, vol. 61(3), pages 495-521, May.
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