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Rationalizing Choice with Multi-Self Models

Author

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  • Attila Ambrus
  • Kareen Rozen

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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(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Attila Ambrus & Kareen Rozen, 2012. "Rationalizing Choice with Multi-Self Models," Levine's Working Paper Archive 786969000000000512, David K. Levine.
  • Handle: RePEc:cla:levarc:786969000000000512
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    References listed on IDEAS

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    1. Daniel Kahneman & Peter P. Wakker & Rakesh Sarin, 1997. "Back to Bentham? Explorations of Experienced Utility," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 375-406.
    2. Simonson, Itamar, 1989. " Choice Based on Reasons: The Case of Attraction and Compromise Effects," Journal of Consumer Research, Oxford University Press, vol. 16(2), pages 158-174, September.
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    5. de Clippel, Geoffroy & Eliaz, Kfir, 2012. "Reason-based choice: a bargaining rationale for the attraction and compromise effects," Theoretical Economics, Econometric Society, vol. 7(1), January.
    6. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, March.
    7. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    8. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    9. Douglas Bernheim & Antonio Rangel, 2007. "Beyond Revealed Preference Choice Theoretic Foundations for Behavioral Welfare Economics," Discussion Papers 07-031, Stanford Institute for Economic Policy Research.
    10. Green, Jerry & Hojman, Daniel, 2007. "Choice, Rationality and Welfare Measurement," Working Paper Series rwp07-054, Harvard University, John F. Kennedy School of Government.
    11. Gerard Debreu, 1959. "Topological Methods in Cardinal Utility Theory," Cowles Foundation Discussion Papers 76, Cowles Foundation for Research in Economics, Yale University.
    12. 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.
    13. Benabou, Roland & Pycia, Marek, 2002. "Dynamic inconsistency and self-control: a planner-doer interpretation," Economics Letters, Elsevier, vol. 77(3), pages 419-424, November.
    14. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
    15. Segal, U., 1996. "Let's Agree that All Dictatorships Are Equally," UWO Department of Economics Working Papers 9608, University of Western Ontario, Department of Economics.
    16. 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.
    17. John P. Conley & Simon Wilkie & Richard P. McLean, 1996. "Reference functions and possibility theorems for cardinal social choice problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(1), pages 65-78.
    18. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Oxford University Press, vol. 38(3), pages 307-317.
    19. 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.
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    Citations

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    Cited by:

    1. Geoffroy de Clippel, 2014. "Behavioral Implementation," American Economic Review, American Economic Association, vol. 104(10), pages 2975-3002, October.
    2. Jerry R. Green & Daniel Hojman, 2015. "Monotonic Aggregation of Preferences and the Rationalization of Choice Functions," Working Papers wp397, University of Chile, Department of Economics.
    3. Laurens Cherchye & Bram De Rock & Rachel Griffith & Martin O'Connell & Kate Smith & Frederic Vermeulen, 2017. "A New Year, a New You ?Heterogeneity and Self-control in Food Purchases," Working Papers ECARES ECARES 2017-46, ULB -- Universite Libre de Bruxelles.
    4. Shaofang Qi, 2016. "A characterization of the n-agent Pareto dominance relation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 695-706, March.
    5. Nakajima, Daisuke & Masatlioglu, Yusufcan, 2013. "Choice by iterative search," Theoretical Economics, Econometric Society, vol. 8(3), September.
    6. de Clippel, Geoffroy & Eliaz, Kfir, 2012. "Reason-based choice: a bargaining rationale for the attraction and compromise effects," Theoretical Economics, Econometric Society, vol. 7(1), January.
    7. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2016. "Partial knowledge restrictions on the two-stage threshold model of choice," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 41-47.
    8. Ghosal, Sayantan & Dalton, Patricio, 2013. "Characterizing Behavioral Decisions with Choice Data," CAGE Online Working Paper Series 107, Competitive Advantage in the Global Economy (CAGE).
    9. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    10. Danan, Eric & Gajdos, Thibault & Tallon, Jean-Marc, 2013. "Aggregating sets of von Neumann–Morgenstern utilities," Journal of Economic Theory, Elsevier, vol. 148(2), pages 663-688.
    11. Kumabe, Masahiro & Mihara, H. Reiju, 2011. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," Games and Economic Behavior, Elsevier, vol. 72(1), pages 187-201, May.
    12. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, pages 2183-2205.
    13. Paola Manzini & Marco Mariotti, 2015. "State dependent choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 239-268, September.
    14. repec:eee:jetheo:v:172:y:2017:i:c:p:163-201 is not listed on IDEAS
    15. Sophie Bade, 2016. "Pareto-optimal matching allocation mechanisms for boundedly rational agents," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 501-510, October.
    16. Matthew O. Jackson & Leeat Yariv, 2014. "Present Bias and Collective Dynamic Choice in the Lab," American Economic Review, American Economic Association, vol. 104(12), pages 4184-4204, December.
    17. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2011. "Manipulation of Choice Behavior," IZA Discussion Papers 5891, Institute for the Study of Labor (IZA).
    18. repec:hal:cesptp:halshs-00788647 is not listed on IDEAS

    More about this item

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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