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Rationalizing Choice Functions by Multiple Rationales

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Author Info
Gil Kalai
Ariel Rubinstein
Ran Spiegler

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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.

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Publisher Info
Paper provided by Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp278.

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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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References listed on IDEAS
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.:
  1. McFadden, Daniel, 1999. "Rationality for Economists?," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 73-105, December. [Downloadable!] (restricted)
    Other versions:
  2. Sen, Amartya, 1993. "Internal Consistency of Choice," Econometrica, Econometric Society, vol. 61(3), pages 495-521, May. [Downloadable!] (restricted)
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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.)

  1. Paola Manzini & Marco Mariotti, 2009. "Consumer choice and revealed bounded rationality," Economic Theory, Springer, vol. 41(3), pages 379-392, December. [Downloadable!] (restricted)
    Other versions:
  2. Eddie Dekel & Barton L. Lipman, 2009. "How (Not) to Do Decision Theory," Levine's Working Paper Archive 814577000000000339, David K. Levine. [Downloadable!]
  3. Paola Manzini & Marco Mariotti, 2006. "Two-Stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," IZA Discussion Papers 2341, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  4. José Alcantud, 2006. "Notes and Comments: Stochastic demand correspondences and their aggregation properties," Decisions in Economics and Finance, Springer, vol. 29(1), pages 55-69, 05. [Downloadable!] (restricted)
  5. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," MPRA Paper 11728, University Library of Munich, Germany. [Downloadable!]
  6. Houy Nicolas, 2007. "Rationality and Order-Dependent Sequential Rationality," Theory and Decision, Springer, vol. 62(2), pages 119-134, March. [Downloadable!] (restricted)
  7. Kobi Kriesler & Shmuel Nitzan, 2008. "Is Context-Based Choice due to Context-Dependent Preferences?," Theory and Decision, Springer, vol. 64(1), pages 65-80, February. [Downloadable!] (restricted)
  8. B. Douglas Bernheim & Antonio Rangel, 2008. "Beyond Revealed Preference: Choice Theoretic Foundations for Behavioral Welfare Economics," NBER Working Papers 13737, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Stefano Ficco & Vladimir Karamychev & Peran van Reeven, 2006. "A Theory of Procedurally Rational Choice: Optimization without Evaluation," Tinbergen Institute Discussion Papers 06-001/1, Tinbergen Institute. [Downloadable!]
  10. Jose Apesteguia & Miguel A. Ballester, 2008. "A Characterization of Sequential Rationalizability," Economics Working Papers 1089, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  11. Christopher J.Tyson, 2005. "Axiomatic Foundations for Satisficing Behavior," Economics Papers 2005-W03, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
  12. SPRUMONT, Yves & EHLERS, Lars, 2005. "Top-Cycle Rationalizability," Cahiers de recherche 2005-20, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  13. Stefano Ficco & Vladimir Karamychev, 2009. "Preference for flexibility in the absence of learning: the risk attitude effect," Economic Theory, Springer, vol. 40(3), pages 405-426, September. [Downloadable!] (restricted)
  14. Attila Ambrus & Kareen Rozen, 2008. "Revealed Conflicting Preferences," Levine's Working Paper Archive 122247000000002161, David K. Levine. [Downloadable!]
  15. Shlomo Naeh & Uzi Segal, 2008. "The Talmud On Transitivity," Boston College Working Papers in Economics 687, Boston College Department of Economics, revised 04 Sep 2009. [Downloadable!]
  16. Chambers, Christopher P. & Hayashi, Takashi, 2008. "Choice and individual welfare," Working Papers 1286, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  17. Susan Snyder & Indrajit Ray, 2004. "Observable implications of Nash and subgame-perfect behavior in extensive games," Econometric Society 2004 North American Summer Meetings 407, Econometric Society. [Downloadable!]
    Other versions:
  18. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, EconWPA, revised 21 Jul 2005. [Downloadable!]
  19. Manzini, Paola & Mariotti, Marco, 2004. "Rationalizing Boundedly Rational Choice: Sequential Rationalizability and Rational Shortlist Methods," IZA Discussion Papers 1239, Institute for the Study of Labor (IZA). [Downloadable!]
  20. Attila Ambrus & Kareen Rozen, 2008. "Rationalizing Choice with Multi-Self Models," Cowles Foundation Discussion Papers 1670, Cowles Foundation, Yale University, revised Oct 2009. [Downloadable!]
  21. Jose Apesteguia & Miguel A. Ballester, 2007. "On the Complexity of Rationalizing Behavior," Economics Working Papers 1048, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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This page was last updated on 2009-11-22.

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