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Samuelson's Approach to Revealed Preference Theory: Some Recent Advances

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  • Demuynck, Thomas

    () (ECARES, Université Libre de Bruxelles)

  • Hjertstrand, Per

    () (Research Institute of Industrial Economics (IFN))

Abstract

Since Paul Samuelson introduced the theory of revealed preference, it has become one of the most important concepts in economics. This chapter surveys some recent contributions in the revealed preference literature. We depart from Afriat's theorem, which provides the conditions for a data set to be consistent with the utility maximization hypothesis. We provide and motivate a new condition, which we call the Varian inequalities. The advantage of the Varian inequalities is that they can be formulated as a set of mixed integer linear inequalities, which are linear in the quantity and price data. We show how the Varian inequalities can be used to derive revealed preference tests for weak separability, and show how it can be used to formulate tests of the collective household model. Finally, we discuss measurement errors in the observed data and measures of goodness-of-fit, power and predictive success.

Suggested Citation

  • Demuynck, Thomas & Hjertstrand, Per, 2019. "Samuelson's Approach to Revealed Preference Theory: Some Recent Advances," Working Paper Series 1274, Research Institute of Industrial Economics.
  • Handle: RePEc:hhs:iuiwop:1274
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    References listed on IDEAS

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    1. 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.
    2. Edward J. Green & Kent Osband, 1991. "A Revealed Preference Theory for Expected Utility," Review of Economic Studies, Oxford University Press, vol. 58(4), pages 677-695.
    3. Abi Adams & Laurens Cherchye & Bram De Rock & Ewout Verriest, 2014. "Consume Now or Later? Time Inconsistency, Collective Choice, and Revealed Preference," American Economic Review, American Economic Association, vol. 104(12), pages 4147-4183, December.
    4. Matthew Polisson & John Quah & Ludovic Renou, 2015. "Revealed preferences over risk and uncertainty," IFS Working Papers W15/25, Institute for Fiscal Studies.
    5. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
    6. Chambers,Christopher P. & Echenique,Federico, 2016. "Revealed Preference Theory," Cambridge Books, Cambridge University Press, number 9781107087804, July - De.
    7. Hjertstrand, Per, 2008. "A Monte Carlo Study of the Necessary and Sufficient Conditions for Weak Separability," Working Papers 2008:10, Lund University, Department of Economics, revised 11 Sep 2008.
    8. repec:eee:jetheo:v:169:y:2017:i:c:p:546-550 is not listed on IDEAS
    9. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram & Hjertstrand, Per, 2015. "Revealed preference tests for weak separability: An integer programming approach," Journal of Econometrics, Elsevier, vol. 186(1), pages 129-141.
    10. Heufer, Jan & Hjertstrand, Per, 2015. "Consistent subsets: Computationally feasible methods to compute the Houtman–Maks-index," Economics Letters, Elsevier, vol. 128(C), pages 87-89.
    11. Belongia, Michael T & Chrystal, K Alec, 1991. "An Admissible Monetary Aggregate for the United Kingdom," The Review of Economics and Statistics, MIT Press, vol. 73(3), pages 497-503, August.
    12. van Bruggen, Paul & Heufer, Jan, 2017. "Afriat in the lab," Journal of Economic Theory, Elsevier, vol. 169(C), pages 546-550.
    13. Thomas Demuynck & Christian Seel, 2018. "Revealed Preference with Limited Consideration," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 102-131, February.
    14. Matzkin, Rosa L. & Richter, Marcel K., 1991. "Testing strictly concave rationality," Journal of Economic Theory, Elsevier, vol. 53(2), pages 287-303, April.
    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. Heufer, Jan, 2014. "Nonparametric comparative revealed risk aversion," Journal of Economic Theory, Elsevier, vol. 153(C), pages 569-616.
    17. Matthew Polisson & John K.-H. Quah, 2013. "Revealed Preference in a Discrete Consumption Space," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 28-34, February.
    18. Per Hjertstrand & James Swofford, 2012. "Revealed preference tests for consistency with weakly separable indirect utility," Theory and Decision, Springer, vol. 72(2), pages 245-256, February.
    19. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2017. "A Comprehensive Approach to Revealed Preference Theory," American Economic Review, American Economic Association, vol. 107(4), pages 1239-1263, April.
    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. Forges, Françoise & Iehlé, Vincent, 2014. "Afriat’s theorem for indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 1-6.
    22. repec:taf:jnlbes:v:37:y:2019:i:2:p:235-247 is not listed on IDEAS
    23. Browning, Martin, 1989. "A Nonparametric Test of the Life-Cycle Rational Expectations Hypothesis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(4), pages 979-992, November.
    24. repec:dau:papers:123456789/11953 is not listed on IDEAS
    25. W. Erwin Diewert, 2012. "Afriat's Theorem and some Extensions to Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 122(560), pages 305-331, May.
    26. Thomas Demuynck & Ewout Verriest, 2013. "I’Ll Never Forget My First Cigarette: A Revealed Preference Analysis Of The “Habits As Durables” Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(2), pages 717-738, May.
    27. Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, vol. 59(6), pages 1779-1786, November.
    28. repec:ecj:econjl:v:122:y:2012:i::p:305-331 is not listed on IDEAS
    29. Swofford, James L. & Whitney, Gerald A., 1994. "A revealed preference test for weakly separable utility maximization with incomplete adjustment," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 235-249.
    30. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
    31. Hjertstrand, Per, 2013. "A Simple Method to Account for Measurement Errors in Revealed Preference Tests," Working Paper Series 990, Research Institute of Industrial Economics.
    32. repec:dau:papers:123456789/4099 is not listed on IDEAS
    33. repec:tpr:restat:v:100:y:2018:i:2:p:349-361 is not listed on IDEAS
    34. repec:hal:wpaper:halshs-00870052 is not listed on IDEAS
    35. Per Hjertstrand & James L. Swofford & Gerald A. Whitney, 2016. "Mixed Integer Programming Revealed Preference Tests of Utility Maximization and Weak Separability of Consumption, Leisure, and Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(7), pages 1547-1561, October.
    36. Jones, Barry E. & Dutkowsky, Donald H. & Elger, Thomas, 2005. "Sweep programs and optimal monetary aggregation," Journal of Banking & Finance, Elsevier, vol. 29(2), pages 483-508, February.
    37. Sam Cosaert & Thomas Demuynck, 2018. "Nonparametric Welfare and Demand Analysis with Unobserved Individual Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 100(2), pages 349-361, May.
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    Keywords

    Afriats theorem; Collective household model; GARP; Mixed integer linear programing; Revealed preference; Varian inequalities; Weak separability;

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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