IDEAS home Printed from https://ideas.repec.org/p/ubc/pmicro/yoram_halevy-2015-23.html
   My bibliography  Save this paper

Non-Parametric Bounds for Non-Convex Preferences

Author

Listed:
  • Halevy, Yoram
  • Persitz, Dotan
  • Zrill, Lanny

Abstract

Choices from linear budget sets are often used to recover consumer's preferences. The classic method uses revealed preference theory to construct non-parametric bounds on the indifference curve that passes through a given bundle. We show that these bounds do not apply to non-convex preferences, and therefore may lead to erroneous prediction and welfare analysis. We suggest an alternative that is based on the assumption of monotonicity of preferences.

Suggested Citation

  • Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2015. "Non-Parametric Bounds for Non-Convex Preferences," Microeconomics.ca working papers yoram_halevy-2015-23, Vancouver School of Economics, revised 16 Oct 2016.
  • Handle: RePEc:ubc:pmicro:yoram_halevy-2015-23
    as

    Download full text from publisher

    File URL: http://faculty.arts.ubc.ca/yhalevy/Varian_bounds_comment.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
    2. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    3. A. Fostel & H. Scarf & M. Todd, 2004. "Two new proofs of Afriat’s theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.
    4. Korenok, Oleg & Millner, Edward L. & Razzolini, Laura, 2013. "Impure altruism in dictators' giving," Journal of Public Economics, Elsevier, vol. 97(C), pages 1-8.
    5. Halevy, Yoram & Zrill, Lanny, 2016. "Parametric Recovery Methods: A Comparative Experimental Study," Microeconomics.ca working papers yoram_halevy-2016-2, Vancouver School of Economics, revised 03 Nov 2016.
    6. Heufer, Jan, 2012. "Revealed Preference and Nonparametric Analysis – Continuous Extensions and Recoverability," Ruhr Economic Papers 324, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    7. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    8. Knoblauch, Vicki, 1992. "A Tight Upper Bound on the Money Metric Utility Function," American Economic Review, American Economic Association, vol. 82(3), pages 660-663, June.
    9. Teo Chung Piaw & Rakesh V. Vohra, 2003. "Afrait's Theorem and Negative Cycles," Discussion Papers 1377, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
    11. repec:dau:papers:123456789/4099 is not listed on IDEAS
    12. repec:zbw:rwirep:0324 is not listed on IDEAS
    13. Francoise Forges & Enrico Minelli, 2009. "Afriat's theorem for generalized budget sets," Post-Print hal-00360726, HAL.
    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. Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2012. "Parametric Recoverability of Preferences," Microeconomics.ca working papers yoram_halevy-2012-20, Vancouver School of Economics, revised 28 Aug 2015.

    More about this item

    Keywords

    Revealed Preferences; Generalized Axiom of Revealed Preference; Partial Identification.;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

    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:ubc:pmicro:yoram_halevy-2015-23. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maureen Chin). General contact details of provider: http://www.economics.ubc.ca/ .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.