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Rationalizing choice functions with a weak preference

Author

Listed:
  • Yuta Inoue

    (Graduate School of Economics, Waseda University)

Abstract

This paper develops revealed preference analysis of an individual choice model where an agent is a weak preference maximizer, under the assumption that a choice function, rather than a choice correspondence, is observed. In particular, we provide a revealed preference test for such model, and then provide conditions under which we can surely say whether some alternative is indifferent / weakly preferred / strictly preferred to another, solely from the information of the choice function. Furthermore, interpreting a choice correspondence as sets of potential candidates of alternatives that could be chosen from each feasible set, we analyze which alternatives must be, or cannot be a member of the choice correspondence: sharp lower and upper bounds of this underlying choice correspondence are given. As an assumption on observability of data, we assume that the choice function is defined on a non-exhaustive domain, so our results are applicable to data analysis even when only a limited data set is available.

Suggested Citation

  • Yuta Inoue, 2020. "Rationalizing choice functions with a weak preference," Working Papers 2004, Waseda University, Faculty of Political Science and Economics.
    • Handle: RePEc:wap:wpaper:2004
    as

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    References listed on IDEAS

    as
    1. Paola Manzini & Marco Mariotti, 2012. "Categorize Then Choose: Boundedly Rational Choice And Welfare," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 1141-1165, October.
    2. Lleras, Juan Sebastián & Masatlioglu, Yusufcan & Nakajima, Daisuke & Ozbay, Erkut Y., 2017. "When more is less: Limited consideration," Journal of Economic Theory, Elsevier, vol. 170(C), pages 70-85.
    3. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    4. 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.
    5. Au, Pak Hung & Kawai, Keiichi, 2011. "Sequentially rationalizable choice with transitive rationales," Games and Economic Behavior, Elsevier, vol. 73(2), pages 608-614.
    6. Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.
    7. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    8. Yuta Inoue & Koji Shirai, 2016. "Limited consideration and limited data," Discussion Paper Series 149, School of Economics, Kwansei Gakuin University, revised Oct 2016.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Revealed preference; Choice function; Choice correspondence; Weak preference; Bounded rationality;
    All these keywords.

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • D6 - Microeconomics - - Welfare Economics

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