IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-17-00412.html
   My bibliography  Save this article

Rationalizability of Choice Functions: Domain Conditions

Author

Listed:
  • Debabrata Pal

    (Assistant Professor, Jawaharlal Nehru University, New Delhi, India)

Abstract

In the literature related to choice theory an important problem which has been dealt with at length is the rationalizability of the choice function of an individual. In the literature a number of choice consistency conditions have been postulated which are proven to be necessary and sufficient for a choice function to have an ordering rationalization. In this paper a necessary and sufficient condition has been derived for the domain to be such that every possible choice function defined over the domain has an ordering rationalization.

Suggested Citation

  • Debabrata Pal, 2017. "Rationalizability of Choice Functions: Domain Conditions," Economics Bulletin, AccessEcon, vol. 37(3), pages 1911-1917.
  • Handle: RePEc:ebl:ecbull:eb-17-00412
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2017/Volume37/EB-17-V37-I3-P172.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    2. Au, Pak Hung & Kawai, Keiichi, 2011. "Sequentially rationalizable choice with transitive rationales," Games and Economic Behavior, Elsevier, vol. 73(2), pages 608-614.
    3. Gaertner,Wulf, 2006. "Domain Conditions in Social Choice Theory," Cambridge Books, Cambridge University Press, number 9780521028745, September.
    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. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    2. Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2021. "Choice resolutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 713-753, May.
    3. Qin, Dan, 2024. "A simple model of two-stage choice," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    4. Rohan Dutta & Sean Horan, 2015. "Inferring Rationales from Choice: Identification for Rational Shortlist Methods," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 179-201, November.
    5. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    6. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," SIRE Discussion Papers 2015-59, Scottish Institute for Research in Economics (SIRE).
    7. Özgür Kıbrıs & Yusufcan Masatlioglu & Elchin Suleymanov, 2023. "A theory of reference point formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 137-166, January.
    8. Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2019. "Congruence relations on a choice space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 247-294, February.
    9. Freeman, David J., 2017. "Preferred personal equilibrium and simple choices," Journal of Economic Behavior & Organization, Elsevier, vol. 143(C), pages 165-172.
    10. 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.
    11. Tugce Cuhadaroglu, 2015. "Choosing on Influence," Discussion Paper Series, School of Economics and Finance 201504, School of Economics and Finance, University of St Andrews.
    12. Geng, Sen & Özbay, Erkut Y., 2021. "Shortlisting procedure with a limited capacity," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    13. Geng, Sen, 2022. "Limited consideration model with a trigger or a capacity," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    14. Cuhadaroglu, Tugce, 2017. "Choosing on influence," Theoretical Economics, Econometric Society, vol. 12(2), May.
    15. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-59, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    16. Sethuraman, Jay & Teo, Chung-Piaw & Vohra, Rakesh V., 2006. "Anonymous monotonic social welfare functions," Journal of Economic Theory, Elsevier, vol. 128(1), pages 232-254, May.
    17. Mandler, Michael, 2015. "Rational agents are the quickest," Journal of Economic Theory, Elsevier, vol. 155(C), pages 206-233.
    18. Thomas Demuynck, 2014. "The computational complexity of rationalizing Pareto optimal choice behavior," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(3), pages 529-549, March.
    19. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    20. Dutta, Rohan, 2020. "Gradual pairwise comparison and stochastic choice," Theoretical Economics, Econometric Society, vol. 15(4), November.

    More about this item

    Keywords

    Rational Choice; Rationalizability; Choice Function; Domain Condition;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D1 - Microeconomics - - Household Behavior

    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:ebl:ecbull:eb-17-00412. 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: John P. Conley (email available below). General contact details of provider: .

    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.