IDEAS home Printed from https://ideas.repec.org/p/wap/wpaper/2004.html
   My bibliography  Save this paper

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

    Download full text from publisher

    File URL: https://www.waseda.jp/fpse/winpec/assets/uploads/2020/05/E2004_version.pdf
    File Function: First version,
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.
    2. 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.
    3. Au, Pak Hung & Kawai, Keiichi, 2011. "Sequentially rationalizable choice with transitive rationales," Games and Economic Behavior, Elsevier, vol. 73(2), pages 608-614.
    4. 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.
    5. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    6. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    7. 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.
    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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yuta Inoue, 2020. "Growing Consideration," Working Papers 2003, Waseda University, Faculty of Political Science and Economics.
    2. Alfio Giarlotta & Angelo Petralia & Stephen Watson, 2022. "Semantics meets attractiveness: Choice by salience," Papers 2204.08798, arXiv.org, revised Aug 2022.
    3. Yuta Inoue & Koji Shirai, 2018. "Limited consideration and limited data: revealed preference tests and observable restrictions," Discussion Paper Series 176, School of Economics, Kwansei Gakuin University, revised Mar 2018.
    4. Yuta Inoue & Koji Shirai, 2018. "Limited consideration and limited data: revealed preference tests and observable restrictions," Discussion Paper Series 176-2, School of Economics, Kwansei Gakuin University, revised Aug 2019.
    5. Yukinori Iwata, 2018. "Salience and limited attention," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 123-146, January.
    6. 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.
    7. Juan Lleras & Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Ozbay, 2021. "Path-Independent Consideration," Games, MDPI, vol. 12(1), pages 1-10, March.
    8. Geng, Sen & Özbay, Erkut Y., 2021. "Shortlisting procedure with a limited capacity," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    9. Yuta Inoue & Koji Shirai, 2020. "On the observable restrictions of limited consideration models: theory and application," Discussion Paper Series 217, School of Economics, Kwansei Gakuin University.
    10. Guy Barokas, 2020. "Identifying changing taste from demand data via golden eggs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 47-68, January.
    11. Leo Katz & Alvaro Sandroni, 2020. "Limits on power and rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 507-521, March.
    12. Ian Chadd & Emel Filiz-Ozbay & Erkut Y. Ozbay, 2021. "The relevance of irrelevant information," Experimental Economics, Springer;Economic Science Association, vol. 24(3), pages 985-1018, September.
    13. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    14. de Clippel, Geoffroy & Rozen, Kareen, 2021. "Bounded rationality and limited datasets," Theoretical Economics, Econometric Society, vol. 16(2), May.
    15. Yuta Inoue & Koji Shirai, 2016. "Limited consideration and limited data," Discussion Paper Series 149, School of Economics, Kwansei Gakuin University, revised Oct 2016.
    16. David M. Ramsey, 2020. "A Game Theoretic Model of Choosing a Valuable Good via a Short List Heuristic," Mathematics, MDPI, vol. 8(2), pages 1-20, February.
    17. Abhinash Borah & Christopher Kops, 2019. "Rational choices: an ecological approach," Theory and Decision, Springer, vol. 86(3), pages 401-420, May.
    18. Salvador Barberà & Geoffroy de Clippel & Alejandro Neme & Kareen Rozen, 2022. "Order-k rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 1135-1153, June.
    19. Yuta Inoue & Koji Shirai, 2023. "On the observable restrictions of limited consideration models: theory and application," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 695-715, April.
    20. Demirkan, Yusufcan & Kimya, Mert, 2020. "Hazard rate, stochastic choice and consideration sets," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 142-150.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wap:wpaper:2004. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Haruko Noguchi (email available below). General contact details of provider: https://edirc.repec.org/data/spwasjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.