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On the consistency of choice

Author

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  • Ola Mahmoud

    (University of St. Gallen
    University of California, Berkeley)

Abstract

Consistency of choice is a fundamental and recurring theme in decision theory, social choice theory, behavioral economics, and psychological sciences. The purpose of this paper is to study the consistency of choice independent of the particular decision model at hand. Consistency is viewed as an inherently logical concept that is fundamentally void of connotation and is thus disentangled from traditional rationality or consistency conditions imposed on decision models. The proposed formalization of consistency takes two forms: internal consistency, which refers to the property that a choice model does not generate contradictory statements; and semantic consistency, which refers to the idea that a theory’s predictions are valid with respect to some observed data. In addressing semantic consistency, the relationship between theory and data is analyzed in terms of so-called duality mappings, which allow a passage between the two universes in a way that consistency is preserved. The formalization of consistency concepts relies on adapting the revealed preference theory to the context-dependent setting. The paper concludes by discussing the implications of the proposed framework and how it relates to classical revealed preference theory and other formalizations of the relationship between the theory and reality of choice.

Suggested Citation

  • Ola Mahmoud, 2017. "On the consistency of choice," Theory and Decision, Springer, vol. 83(4), pages 547-572, December.
    • Handle: RePEc:kap:theord:v:83:y:2017:i:4:d:10.1007_s11238-017-9635-7
    DOI: 10.1007/s11238-017-9635-7
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    References listed on IDEAS

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    1. Itzhak Gilboa & Fabio Maccheroni & Massimo Marinacci & David Schmeidler, 2010. "Objective and Subjective Rationality in a Multiple Prior Model," Econometrica, Econometric Society, vol. 78(2), pages 755-770, March.
    2. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 381-393.
    3. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
    4. Ariel Rubinstein, 2006. "Dilemmas of an Economic Theorist," Econometrica, Econometric Society, vol. 74(4), pages 865-883, July.
    5. Itzhak Gilboa, 2010. "Questions in Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 1-19, September.
    6. Sen, Amartya, 1994. "The Formulation of Rational Choice," American Economic Review, American Economic Association, vol. 84(2), pages 385-390, May.
    7. Sen, Amartya, 1993. "Internal Consistency of Choice," Econometrica, Econometric Society, vol. 61(3), pages 495-521, May.
    8. Debreu, Gerard, 1991. "The Mathematization of Economic Theory," American Economic Review, American Economic Association, vol. 81(1), pages 1-7, March.
    9. Christopher P. Chambers & Federico Echenique & Eran Shmaya, 2014. "The Axiomatic Structure of Empirical Content," American Economic Review, American Economic Association, vol. 104(8), pages 2303-2319, August.
    10. Saran, Rene, 2011. "Menu-dependent preferences and revelation principle," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1712-1720, July.
    11. Itzhak Gilboa, 2015. "Rationality and the Bayesian paradigm," Journal of Economic Methodology, Taylor & Francis Journals, vol. 22(3), pages 312-334, September.
    12. Ramsey, Frank P., 1926. "Truth and Probability," Histoy of Economic Thought Chapters, in: Braithwaite, R. B. (ed.),The Foundations of Mathematics and other Logical Essays, chapter 7, pages 156-198, McMaster University Archive for the History of Economic Thought.
    13. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    14. Amos Tversky & Itamar Simonson, 1993. "Context-Dependent Preferences," Management Science, INFORMS, vol. 39(10), pages 1179-1189, October.
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    Cited by:

    1. Caliari, Daniele, 2023. "Rationality is not consistency," Discussion Papers, Research Unit: Economics of Change SP II 2023-304, WZB Berlin Social Science Center.

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