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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."

Suggested Citation

  • Attila Ambrus & Kareen Rozen, 2012. "Rationalizing Choice with Multi-Self Models," Working Papers 12-11, Duke University, Department of Economics.
    • Handle: RePEc:duk:dukeec:12-11
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    Cited by:

    1. Panagiotis Andrikopoulos & Nick Webber, 2019. "Understanding time-inconsistent heterogeneous preferences in economics and finance: a practice theory approach," Annals of Operations Research, Springer, vol. 282(1), pages 3-26, November.
    2. Dalton, Patricio S. & Ghosal, Sayantan, 2013. "Characterizing Behavioral Decisions with Choice Datas," SIRE Discussion Papers 2013-86, Scottish Institute for Research in Economics (SIRE).
    3. repec:hal:pseose:halshs-00788647 is not listed on IDEAS
    4. Aguiar, Victor H. & Serrano, Roberto, 2017. "Slutsky matrix norms: The size, classification, and comparative statics of bounded rationality," Journal of Economic Theory, Elsevier, vol. 172(C), pages 163-201.
    5. 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.
    6. Pongou,Roland & Sidie,Ghislain Junior, 2024. "Voting when Rankings Matter : Truthful Equilibria, Efficiency, and Abstention," Policy Research Working Paper Series 10837, The World Bank.
    7. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    8. Geoffroy de Clippel, 2014. "Behavioral Implementation," American Economic Review, American Economic Association, vol. 104(10), pages 2975-3002, October.
    9. , & ,, 2012. "Reason-based choice: a bargaining rationale for the attraction and compromise effects," Theoretical Economics, Econometric Society, vol. 7(1), January.
    10. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    11. Schlee, Edward E. & Ali Khan, M., 2023. "Money-metrics in local welfare analysis: Pareto improvements and equity considerations," Journal of Economic Theory, Elsevier, vol. 213(C).
    12. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2011. "Manipulation of Choice Behavior," IZA Discussion Papers 5891, Institute of Labor Economics (IZA).
    13. 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.
    14. 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.
    15. 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.
    16. Cherchye, Laurens & De Rock, Bram & Griffith, Rachel & O’Connell, Martin & Smith, Kate & Vermeulen, Frederic, 2017. "A New Year, a New You? Heterogeneity and Self-Control in Food Purchases," IZA Discussion Papers 11205, Institute of Labor Economics (IZA).
    17. 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.
    18. T. Hayashi & R. Jain & V. Korpela & M. Lombardi, 2023. "Behavioral strong implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1257-1287, November.
    19. 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.
    20. 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.
    21. 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.
    22. , & ,, 2013. "Choice by iterative search," Theoretical Economics, Econometric Society, vol. 8(3), September.
    23. 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.
    24. Francesco Cerigioni, 2021. "Dual Decision Processes: Retrieving Preferences When Some Choices Are Automatic," Journal of Political Economy, University of Chicago Press, vol. 129(6), pages 1667-1704.

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    Keywords

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    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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