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Parametric Recoverability of Preferences

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  • 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
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    File URL: http://faculty.arts.ubc.ca/yhalevy/GARP_HPZ.pdf
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    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. 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. B. Douglas Bernheim, 2010. "Behavioral welfare economics," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 57(2), pages 123-151, June.
    5. 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.
    6. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    7. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    8. 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.
    9. Bart Smeulders & Laurens Cherchye & Bram De Rock & Frits C. R. Spieksma, 2013. "The Money Pump as a Measure of Revealed Preference Violations: A Comment," Journal of Political Economy, University of Chicago Press, vol. 121(6), pages 1248-1258.
    10. 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.
    11. Hugh Rose, 1958. "Consistency of Preference: The Two-Commodity Case," Review of Economic Studies, Oxford University Press, vol. 25(2), pages 124-125.
    12. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    13. 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.
    14. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    15. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    16. Tsur, Yacov, 1989. "On testing for revealed preference conditions," Economics Letters, Elsevier, vol. 31(4), pages 359-362, December.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. Gross, John, 1995. "Testing Data for Consistency with Revealed Preference," The Review of Economics and Statistics, MIT Press, vol. 77(4), pages 701-710, November.
    22. Satoru Fujishige & Zaifu Yang, 2012. "On Revealed Preference and Indivisibilities," Discussion Papers 12/02, Department of Economics, University of York.
    23. 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.
    24. repec:zbw:rwirep:0069 is not listed on IDEAS
    25. 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.
    26. 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.
    27. 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.
    28. 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.
    29. Cox, James C, 1997. "On Testing the Utility Hypothesis," Economic Journal, Royal Economic Society, vol. 107(443), pages 1054-1078, July.
    30. ., 2013. "The corporation as a political actor," Chapters, in: The Political Power of the Business Corporation, chapter 2, pages 21-41, Edward Elgar Publishing.
    31. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.
    32. 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.
    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. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    35. Raymond Fisman & Shachar Kariv & Daniel Markovits, 2007. "Individual Preferences for Giving," American Economic Review, American Economic Association, vol. 97(5), pages 1858-1876, December.
    36. Bronars, Stephen G, 1987. "The Power of Nonparametric Tests of Preference Maximization [The Nonparametric Approach to Demand Analysis]," Econometrica, Econometric Society, vol. 55(3), pages 693-698, May.
    37. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
    38. 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.
    39. 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.
    40. 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.
    41. Yaari, Menahem E., 1969. "Some remarks on measures of risk aversion and on their uses," Journal of Economic Theory, Elsevier, vol. 1(3), pages 315-329, October.
    42. 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.
    43. ., 2013. "Industrial policy of the Obama administration," Chapters, in: Industrial Policy in America, chapter 5, pages 96-102, Edward Elgar Publishing.
    44. 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.
    45. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
    46. Victor Aguiar & Roberto Serrano, 2015. "Slutsky Matrix Norms and Revealed Preference Tests of Consumer Behaviour," Working Papers 2015-1, Brown University, Department of Economics.
    47. ., 2013. "Corporations, culture and accountability," Chapters, in: The Political Power of the Business Corporation, chapter 8, pages 177-196, Edward Elgar Publishing.
    48. Eriksson, Tor & Pan, Jay & Qin, Xuezheng, 2014. "The intergenerational inequality of health in China," China Economic Review, Elsevier, vol. 31(C), pages 392-409.
    49. 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.
    50. Francoise Forges & Enrico Minelli, 2009. "Afriat's theorem for generalized budget sets," Post-Print hal-00360726, HAL.
    51. 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.
    52. 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.
    53. 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.
    54. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
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    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

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