IDEAS home Printed from https://ideas.repec.org/p/ubc/pmicro/yoram_halevy-2012-20.html
   My bibliography  Save this paper

Parametric Recoverability of Preferences

Author

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

Abstract

We bring revealed preference theory to bear on the problem of recovering approximate parametric preferences from consistent and inconsistent consumer choices. The paper investigates two measures for the incompatibility between the revealed preference relation implied by choices and the ranking induced by the proposed parametric preferences. We provide a novel characterization of several well-known inconsistency indices through these incompatibility measures. This allows a researcher to analyze both consistent and inconsistent choices, by decomposing an incompatibility measure into inconsistency and misspecification indices.

Suggested Citation

  • 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.
  • Handle: RePEc:ubc:pmicro:yoram_halevy-2012-20
    as

    Download full text from publisher

    File URL: http://faculty.arts.ubc.ca/yhalevy/GARP_HPZ.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Syngjoo Choi & Shachar Kariv & Wieland M?ller & Dan Silverman, 2014. "Who Is (More) Rational?," American Economic Review, American Economic Association, vol. 104(6), pages 1518-1550, June.
    2. 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.
    3. Maria Porter & Abi Adams, 2016. "For Love or Reward? Characterising Preferences for Giving to Parents in an Experimental Setting," Economic Journal, Royal Economic Society, vol. 126(598), pages 2424-2445, December.
    4. Arouri, Mohamed & Teulon, Frédéric & Rault, Christophe, 2013. "Equity risk premium and regional integration," International Review of Financial Analysis, Elsevier, vol. 28(C), pages 79-85.
    5. Federico Echenique & Sangmok Lee & Matthew Shum, 2011. "The Money Pump as a Measure of Revealed Preference Violations," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1201-1223.
    6. Jose Apesteguia & Miguel A. Ballester, 2015. "A Measure of Rationality and Welfare," Journal of Political Economy, University of Chicago Press, vol. 123(6), pages 1278-1310.
    7. Tsur, Yacov, 1989. "On testing for revealed preference conditions," Economics Letters, Elsevier, vol. 31(4), pages 359-362, December.
    8. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    9. Richard W. Blundell & Martin Browning & Ian A. Crawford, 2003. "Nonparametric Engel Curves and Revealed Preference," Econometrica, Econometric Society, vol. 71(1), pages 205-240, January.
    10. Mark Dean & Daniel Martin, 2016. "Measuring Rationality with the Minimum Cost of Revealed Preference Violations," The Review of Economics and Statistics, MIT Press, vol. 98(3), pages 524-534, July.
    11. ., 2013. "Industrial policy of the Obama administration," Chapters, in: Industrial Policy in America, chapter 5, pages 96-102, Edward Elgar Publishing.
    12. 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.
    13. Victor Aguiar & Roberto Serrano, 2015. "Slutsky Matrix Norms and Revealed Preference Tests of Consumer Behaviour," Working Papers 2015-1, Brown University, Department of Economics.
    14. ., 2013. "Corporations, culture and accountability," Chapters, in: The Political Power of the Business Corporation, chapter 8, pages 177-196, Edward Elgar Publishing.
    15. Swofford, James L & Whitney, Gerald A, 1987. "Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 458-464, August.
    16. William T. Harbaugh & Kate Krause & Timothy R. Berry, 2001. "GARP for Kids: On the Development of Rational Choice Behavior," American Economic Review, American Economic Association, vol. 91(5), pages 1539-1545, December.
    17. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    18. Timothy K. M. Beatty & Ian A. Crawford, 2011. "How Demanding Is the Revealed Preference Approach to Demand?," American Economic Review, American Economic Association, vol. 101(6), pages 2782-2795, October.
    19. Heufer, Jan, 2008. "A Geometric Measure for the Violation of Utility Maximization," Ruhr Economic Papers 69, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    20. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, July.
    21. Syngjoo Choi & Raymond Fisman & Douglas Gale & Shachar Kariv, 2007. "Consistency and Heterogeneity of Individual Behavior under Uncertainty," American Economic Review, American Economic Association, vol. 97(5), pages 1921-1938, December.
    22. ., 2013. "The corporation as a political actor," Chapters, in: The Political Power of the Business Corporation, chapter 2, pages 21-41, Edward Elgar Publishing.
    23. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.
    24. Jerison, David & Jerison, Michael, 1993. "Approximately Rational Consumer Demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 217-241, April.
    25. Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2017. "Non-parametric bounds for non-convex preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 105-112.
    26. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
    27. Eriksson, Tor & Pan, Jay & Qin, Xuezheng, 2014. "The intergenerational inequality of health in China," China Economic Review, Elsevier, vol. 31(C), pages 392-409.
    28. Samuelson, Paul A, 1974. "Complementarity-An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1255-1289, December.
    29. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    30. Ariel Rubinstein & Yuval Salant, 2012. "Eliciting Welfare Preferences from Behavioural Data Sets," Review of Economic Studies, Oxford University Press, vol. 79(1), pages 375-387.
    31. B. Douglas Bernheim & Antonio Rangel, 2009. "Beyond Revealed Preference: Choice-Theoretic Foundations for Behavioral Welfare Economics," The Quarterly Journal of Economics, Oxford University Press, vol. 124(1), pages 51-104.
    32. Kuo-Ping Lin & Ching-Lin Lin & Yu-Ming Lu & Ping-Feng Pai, 2013. "Rule Generation Based on Novel Two-Stage Model," Diversity, Technology, and Innovation for Operational Competitiveness: Proceedings of the 2013 International Conference on Technology Innovation and Industrial Management,, ToKnowPress.
    33. Mark Dean & Daniel Martin, 2011. "Testing for Rationality with Consumption Data: Demographics and Heterogeneity," Working Papers 2011-11, Brown University, Department of Economics.
    34. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
    35. Francoise Forges & Enrico Minelli, 2009. "Afriat's theorem for generalized budget sets," Post-Print hal-00360726, HAL.
    36. Famulari, Melissa, 1995. "A Household-Based, Nonparametric Test of Demand Theory," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 372-382, May.
    37. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    38. repec:zbw:rwirep:0069 is not listed on IDEAS
    39. Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2009. "The revealed preference approach to demand," ULB Institutional Repository 2013/132522, ULB -- Universite Libre de Bruxelles.
    40. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
    41. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
    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. Pawel Dziewulski, 2021. "A comprehensive revealed preference approach to approximate utility maximisation," Working Paper Series 0621, Department of Economics, University of Sussex Business School.
    2. Dziewulski, Paweł, 2020. "Just-noticeable difference as a behavioural foundation of the critical cost-efficiency index," Journal of Economic Theory, Elsevier, vol. 188(C).
    3. Pawel Dziewulski, 2018. "Just-noticeable difference as a behavioural foundation of the critical cost-efficiency," Economics Series Working Papers 848, University of Oxford, Department of Economics.
    4. Smeulders, Bart & Crama, Yves & Spieksma, Frits C.R., 2019. "Revealed preference theory: An algorithmic outlook," European Journal of Operational Research, Elsevier, vol. 272(3), pages 803-815.
    5. Jim Engle-Warnick & Natalia Mishagina, 2014. "Insensitivity to Prices in a Dictator Game," CIRANO Working Papers 2014s-19, CIRANO.
    6. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Joshua Lanier, 2020. "Are Consumers Rational ?Shifting the Burden of Proof," Working Papers ECARES 2020-19, ULB -- Universite Libre de Bruxelles.
    7. Heufer, Jan & Hjertstrand, Per, 2019. "Homothetic preferences revealed," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 602-614.
    8. Victor H. Aguiar & Nail Kashaev, 2018. "Stochastic Revealed Preferences with Measurement Error," Papers 1810.05287, arXiv.org, revised Sep 2020.
    9. Brocas, Isabelle & Carrillo, Juan D. & Combs, T. Dalton & Kodaverdian, Niree, 2019. "Consistency in simple vs. complex choices by younger and older adults," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 580-601.
    10. Danilov, V., 2015. "Beyond Classical Rationality: Two-Stage Rationalization," Journal of the New Economic Association, New Economic Association, vol. 26(2), pages 12-35.
    11. Nishimura, Hiroki & Ok, Efe A., 2016. "Utility representation of an incomplete and nontransitive preference relation," Journal of Economic Theory, Elsevier, vol. 166(C), pages 164-185.
    12. Ian Crawford & Bram De Rock, 2014. "Empirical Revealed Preference," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 503-524, August.
    13. Sam Cosaert & Thomas Demuynck, 2015. "Revealed preference theory for finite choice sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 169-200, May.
    14. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    15. Dean, Mark & Kıbrıs, Özgür & Masatlioglu, Yusufcan, 2017. "Limited attention and status quo bias," Journal of Economic Theory, Elsevier, vol. 169(C), pages 93-127.
    16. Mark Dean & Daniel Martin, 2011. "Testing for Rationality with Consumption Data: Demographics and Heterogeneity," Working Papers 2011-11, Brown University, Department of Economics.
    17. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2016. "Partial knowledge restrictions on the two-stage threshold model of choice," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 41-47.
    18. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    19. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Khushboo Surana, 2020. "Revealed Preference Analysis with Normal Goods: Application to Cost-of-Living Indices," American Economic Journal: Microeconomics, American Economic Association, vol. 12(3), pages 165-188, August.
    20. Daniel Müller, 2017. "The anatomy of distributional preferences with group identity," Working Papers 2017-02, Faculty of Economics and Statistics, University of Innsbruck, revised Mar 2017.

    More about this item

    Keywords

    Revealed Preference; Recoverability of Preferences; GARP; inconsistency; incompatibility;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • D00 - Microeconomics - - General - - - General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General

    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-2012-20. 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: . 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 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: Maureen Chin (email available below). General contact details of provider: http://www.economics.ubc.ca/ .

    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.