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Rationalizing Choice with Multi-Self Models

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Abstract

This paper studies a class of multi-self decision-making models proposed in economics, psychology, and marketing. In this class, choices arise from the set-dependent aggregation of a collection of utility functions, where the aggregation procedure satisfies some simple properties. We propose a method for characterizing the extent of irrationality in a choice behavior, and use this measure to provide a lower bound on the set of choice behaviors that can be rationalized with n utility functions. Under an additional assumption (scale-invariance), we show that generically at most five "reasons" are needed for every "mistake."

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File URL: http://cowles.econ.yale.edu/P/cd/d16b/d1670.pdf
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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1670.

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Length: 41 pages
Date of creation: Jul 2008
Date of revision: May 2012
Handle: RePEc:cwl:cwldpp:1670

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Keywords: Multi-self models; Index of irrationality; IIA violations; Rationalizability;

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References

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  1. 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.
  2. Benabou, Roland & Pycia, Marek, 2002. "Dynamic inconsistency and self-control: a planner-doer interpretation," Economics Letters, Elsevier, vol. 77(3), pages 419-424, November.
  3. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
  4. Kahneman, Daniel & Wakker, Peter P & Sarin, Rakesh, 1997. "Back to Bentham? Explorations of Experienced Utility," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 375-405, May.
  5. Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
  6. John P. Conley & Simon Wilkie & Richard P. McLean, 1996. "Reference functions and possibility theorems for cardinal social choice problems," Social Choice and Welfare, Springer, vol. 14(1), pages 65-78.
  7. Geoffroy de Clippel & Kfir Eliaz, 2009. "Reason-Based Choice: A Bargaining Rationale for the Attraction and Compromise Effects," Working Papers 2009-4, Brown University, Department of Economics.
  8. Simonson, Itamar, 1989. " Choice Based on Reasons: The Case of Attraction and Compromise Effects," Journal of Consumer Research, University of Chicago Press, vol. 16(2), pages 158-74, September.
  9. DHILLON, Amrita & MERTENS, Jean-François, 1993. "Relative Utilitarianism," CORE Discussion Papers 1993048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
  11. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
  12. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, April.
  13. Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
  14. Green, Jerry & Hojman, Daniel, 2007. "Choice, Rationality and Welfare Measurement," Working Paper Series rwp07-054, Harvard University, John F. Kennedy School of Government.
  15. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
  16. Gil Kalai & Ariel Rubenstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Economics Working Papers 0010, Institute for Advanced Study, School of Social Science.
  17. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
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Citations

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Cited by:
  1. Jose Apesteguia & Miguel Angel Ballester, 2012. "Choice By Sequential Procedures," Working Papers 615, Barcelona Graduate School of Economics.
  2. repec:hal:cesptp:halshs-00788647 is not listed on IDEAS
  3. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2011. "Manipulation of Choice Behavior," IZA Discussion Papers 5891, Institute for the Study of Labor (IZA).
  4. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
  5. Nakajima, Daisuke & Masatlioglu, Yusufcan, 2013. "Choice by iterative search," Theoretical Economics, Econometric Society, vol. 8(3), September.
  6. Ghosal, Sayantan & Dalton, Patricio, 2013. "Characterizing Behavioral Decisions with Choice Data," CAGE Online Working Paper Series 107, Competitive Advantage in the Global Economy (CAGE).
  7. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," MPRA Paper 11728, University Library of Munich, Germany.
  8. Geoffroy de Clippel & Kfir Eliaz, 2009. "Reason-Based Choice: A Bargaining Rationale for the Attraction and Compromise Effects," Working Papers 2009-4, Brown University, Department of Economics.
  9. repec:cge:warwcg:106 is not listed on IDEAS
  10. Geoffroy de Clippel, 2012. "Behavioral Implementation," Working Papers 2012-6, Brown University, Department of Economics.

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