IDEAS home Printed from https://ideas.repec.org/p/qmw/qmwecw/563.html
   My bibliography  Save this paper

Uncovered Set Choice Rule

Author

Listed:
  • Michele Lombardi

    (Queen Mary, University of London)

Abstract

I study necessary and sufficient conditions for a choice function to be rationalised in the following sense: there exists a complete asymmetric relation T (a tournament) such that for each feasible (finite) choice situation, the choice coincides with the uncovered set of T. This notion of rationality explains not only cyclical and context dependent choices observed in practice, but also provides testable restrictions on observable choice behavior.

Suggested Citation

  • Michele Lombardi, 2006. "Uncovered Set Choice Rule," Working Papers 563, Queen Mary University of London, School of Economics and Finance.
    • Handle: RePEc:qmw:qmwecw:563
    as

    Download full text from publisher

    File URL: https://www.qmul.ac.uk/sef/media/econ/research/workingpapers/2006/items/wp563.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Paola Manzini & Marco Mariotti, 2006. "Two-stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," Working Papers 561, Queen Mary University of London, School of Economics and Finance.
    2. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    3. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    4. Fishburn, Peter C, 1991. "Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-134, April.
    5. Manzini, Paola & Mariotti, Marco, 2006. "Two-Stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," IZA Discussion Papers 2341, Institute of Labor Economics (IZA).
    6. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, University Library of Munich, Germany, revised 21 Dec 2005.
    7. 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.
    8. Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.
    9. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    10. Fishburn, Peter C & LaValle, Irving H, 1988. "Context-Dependent Choice with Nonlinear and Nontransitive Preferences," Econometrica, Econometric Society, vol. 56(5), pages 1221-1239, September.
    11. Zhang, Jiao & Hsee, Christopher K. & Xiao, Zhixing, 2006. "The majority rule in individual decision making," Organizational Behavior and Human Decision Processes, Elsevier, vol. 99(1), pages 102-111, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    2. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    3. Nicolas Houy, 2011. "Common characterizations of the untrapped set and the top cycle," Theory and Decision, Springer, vol. 70(4), pages 501-509, April.
    4. Costa, Matheus & Riella, Gil, 2022. "King-chicken choice correspondences," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 113-118.
    5. Pinger, Pia & Ruhmer-Krell, Isabel & Schumacher, Heiner, 2016. "The compromise effect in action: Lessons from a restaurant's menu," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 14-34.
    6. , & ,, 2012. "Choice by lexicographic semiorders," Theoretical Economics, Econometric Society, vol. 7(1), January.
    7. Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.
    8. Michele Lombardi, 2009. "Minimal covering set solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(4), pages 687-695, May.
    9. Michele Lombardi & Marco Mariotti, 2009. "Uncovered bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 601-610, November.

    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. Michele Lombardi, 2008. "Uncovered set choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 271-279, August.
    2. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    3. Heller, Yuval, 2012. "Justifiable choice," Games and Economic Behavior, Elsevier, vol. 76(2), pages 375-390.
    4. B. Douglas Bernheim & Antonio Rangel, 2009. "Beyond Revealed Preference: Choice-Theoretic Foundations for Behavioral Welfare Economics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 51-104.
    5. Michele Lombardi, 2009. "Minimal covering set solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(4), pages 687-695, May.
    6. 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.
    7. 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.
    8. Paola Manzini & Marco Mariotti & Luigi Mittone, 2010. "Choosing monetary sequences: theory and experimental evidence," Theory and Decision, Springer, vol. 69(3), pages 327-354, September.
    9. Wilfried Youmbi, 2024. "Nonparametric Analysis of Random Utility Models Robust to Nontransitive Preferences," Papers 2406.13969, arXiv.org.
    10. Attila Ambrus & Kareen Rozen, 2015. "Rationalising Choice with Multi‐self Models," Economic Journal, Royal Economic Society, vol. 125(585), pages 1136-1156, June.
    11. Alfio Giarlotta & Angelo Petralia & Stephen Watson, 2022. "Semantics meets attractiveness: Choice by salience," Papers 2204.08798, arXiv.org, revised Aug 2022.
    12. SPRUMONT, Yves & EHLERS, Lars, 2005. "Top-Cycle Rationalizability," Cahiers de recherche 25-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    13. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    14. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
    15. Chambers, Christopher P. & Hayashi, Takashi, 2012. "Choice and individual welfare," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1818-1849.
    16. 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.
    17. Georgios Gerasimou, 2016. "Partially dominant choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 127-145, January.
    18. Alcantud, José Carlos R. & Cantone, Domenico & Giarlotta, Alfio & Watson, Stephen, 2023. "Rationalization of indecisive choice behavior by pluralist ballots," Journal of Mathematical Economics, Elsevier, vol. 109(C).
    19. Demuynck, Thomas, 2011. "The computational complexity of rationalizing boundedly rational choice behavior," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 425-433.
    20. Stewart, Rush T., 2020. "Weak pseudo-rationalizability," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 23-28.

    More about this item

    Keywords

    Rationalizability; Uncovered set; Intransitive choice;
    All these keywords.

    JEL classification:

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

    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:qmw:qmwecw:563. 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: Nicholas Owen (email available below). General contact details of provider: https://edirc.repec.org/data/deqmwuk.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.