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Rational choice with full-comparability domains

Author

Listed:
  • Furtado, Bruno A.
  • Nascimento, Leandro
  • Riella, Gil

Abstract

We propose a new model of choice in the presence of incomplete preferences. Instead of simply choosing an element which is maximal according to her preferences, the decision maker divides the space of alternatives into subdomains inside which her preferences are complete. She then maximizes her preferences inside these domains of full comparability. Representation theorems are given in which the decision maker always satisfies a weaker form of the Weak Axiom of Revealed Preference and different postulates are imposed on a general notion of revealed preference. They identify a class of choice correspondences that is nested between choice correspondences represented by multiple rationales and the standard model of rational choice. In addition, we suggest that our results provide a useful tool to adapt models that were otherwise restricted to deterministic choice to the setup of stochastic choice.

Suggested Citation

  • Furtado, Bruno A. & Nascimento, Leandro & Riella, Gil, 2023. "Rational choice with full-comparability domains," Journal of Economic Behavior & Organization, Elsevier, vol. 216(C), pages 124-135.
  • Handle: RePEc:eee:jeborg:v:216:y:2023:i:c:p:124-135
    DOI: 10.1016/j.jebo.2023.10.010
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    References listed on IDEAS

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    1. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    2. Ok, Efe A. & Tserenjigmid, Gerelt, 2022. "Indifference, indecisiveness, experimentation and stochastic choice," Theoretical Economics, Econometric Society, vol. 17(2), May.
    3. Nehring, Klaus, 1996. "Maximal elements of non-binary choice functions on compact sets," Economics Letters, Elsevier, vol. 50(3), pages 337-340, March.
    4. Mauricio Ribeiro & Gil Riella, 2017. "Regular preorders and behavioral indifference," Theory and Decision, Springer, vol. 82(1), pages 1-12, January.
    5. Schwartz, Thomas, 1976. "Choice functions, "rationality" conditions, and variations on the weak axiom of revealed preference," Journal of Economic Theory, Elsevier, vol. 13(3), pages 414-427, December.
    6. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2017. "A Comprehensive Approach to Revealed Preference Theory," American Economic Review, American Economic Association, vol. 107(4), pages 1239-1263, April.
    7. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    8. Jose Apesteguia & Miguel A. Ballester & Jay Lu, 2017. "Single‐Crossing Random Utility Models," Econometrica, Econometric Society, vol. 85, pages 661-674, March.
    9. Bandyopadhyay, Taradas & Sengupta, Kunal, 1993. "Characterization of Generalized Weak Orders and Revealed Preference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 571-576, July.
    10. Matheus Costa & Paulo Henrique Ramos & Gil Riella, 2020. "Single-crossing choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 69-86, January.
    11. Aguiar, Victor H., 2017. "Random categorization and bounded rationality," Economics Letters, Elsevier, vol. 159(C), pages 46-52.
    12. Leandro Gorno, 2018. "The structure of incomplete preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 159-185, July.
    13. Barbera, Salvador & Pattanaik, Prasanta K, 1986. "Falmagne and the Rationalizability of Stochastic Choices in Terms of Random Orderings," Econometrica, Econometric Society, vol. 54(3), pages 707-715, May.
    14. 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.
    15. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    16. Klaus Nehring, 1997. "Rational choice and revealed preference without binariness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(3), pages 403-425.
    17. Eliaz, Kfir & Ok, Efe A., 2006. "Indifference or indecisiveness? Choice-theoretic foundations of incomplete preferences," Games and Economic Behavior, Elsevier, vol. 56(1), pages 61-86, July.
    18. Dean, Mark & Kıbrıs, Özgür & Masatlioglu, Yusufcan, 2017. "Limited attention and status quo bias," Journal of Economic Theory, Elsevier, vol. 169(C), pages 93-127.
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    More about this item

    Keywords

    Choice with categories; Revealed preference relation; Choice correspondences; Incomplete preferences; Linking deterministic and stochastic choice; Consideration sets;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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