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Homothetic Efficiency and Test Power: A Non-Parametric Approach

Author

Listed:
  • Jan Heufer

    (Erasmus University Rotterdam, the Netherlands)

  • Per Hjertstrand

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

Abstract

We provide a nonparametric revealed preference approach to demand analysis based on homothetic efficiency. Homotheticity is a useful restriction but data rarely satisfies testable conditions. To overcome this we provide a way to estimate homothetic efficiency of consumption choices. It generalises Heufer's (2013) two-dimensional concept to arbitrary dimensions and is motivated by a form of rationalisation similar to Halevy et al. (2012). The method allows to recover larger preferred and worse sets and provides considerably more preditive success and discriminatory power against random behaviour. An application to experimental and household expenditure data illustrates the potential of our approach.

Suggested Citation

  • Jan Heufer & Per Hjertstrand, 2015. "Homothetic Efficiency and Test Power: A Non-Parametric Approach," Tinbergen Institute Discussion Papers 15-064/I, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20150064
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    References listed on IDEAS

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    1. Martin Browning & M. Dolores Collado, 2001. "The Response of Expenditures to Anticipated Income Changes: Panel Data Estimates," American Economic Review, American Economic Association, vol. 91(3), pages 681-692, June.
    2. Elvira Silva & Spiro E. Stefanou, 1996. "Generalization of Nonparametric Tests for Homothetic Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(3), pages 542-546.
    3. Liu, Pak-Wai & Wong, Kam-Chau, 2000. "Revealed homothetic preference and technology," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 287-314, November.
    4. repec:zbw:rwirep:0523 is not listed on IDEAS
    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. Raymond Fisman & Shachar Kariv & Daniel Markovits, 2005. "Distinguishing Social Preferences from Preferences for Altruism," Economics Working Papers 0061, Institute for Advanced Study, School of Social Science.
    7. 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.
    8. 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.
    9. Cherchye, Laurens & De Rock, Bram & Sabbe, Jeroen & Vermeulen, Frederic, 2008. "Nonparametric tests of collectively rational consumption behavior: An integer programming procedure," Journal of Econometrics, Elsevier, vol. 147(2), pages 258-265, December.
    10. 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.
    11. 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.
    12. Mattei, Aurelio, 2000. "Full-scale real tests of consumer behavior using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 43(4), pages 487-497, December.
    13. 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.
    14. Yoram Halevy & Dotan Persitz & Lanny Zrill, 2018. "Parametric Recoverability of Preferences," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1558-1593.
    15. Knoblauch, Vicki, 1993. "Recovering homothetic preferences," Economics Letters, Elsevier, vol. 43(1), pages 41-45.
    16. Nicole Becker & Kirsten Häger & Jan Heufer, 2013. "Revealed Notions of Distributive Justice I: Theory," Jena Economic Research Papers 2013-041, Friedrich-Schiller-University Jena.
    17. Selten, Reinhard, 1991. "Properties of a measure of predictive success," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 153-167, April.
    18. Hanoch, Giora & Rothschild, Michael, 1972. "Testing the Assumptions of Production Theory: A Nonparametric Approach," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 256-275, March-Apr.
    19. 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.
    20. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, Oxford University Press, vol. 123(2), pages 441-487.
    21. 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.
    22. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
    23. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    24. Raymond Fisman & Shachar Kariv & Daniel Markovits, 2005. "Distinguishing Social Preferences from Preferences for Altruism," Levine's Bibliography 784828000000000284, UCLA Department of Economics.
    25. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    26. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
    27. 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.
    28. Dickinson, David L., 2009. "Experiment timing and preferences for fairness," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(1), pages 89-95, January.
    29. Cox, James C, 1997. "On Testing the Utility Hypothesis," Economic Journal, Royal Economic Society, vol. 107(443), pages 1054-1078, July.
    30. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
    31. Manser, Marilyn E & McDonald, Richard J, 1988. "An Analysis of Substitution Bias in Measuring Inflation, 1959-85," Econometrica, Econometric Society, vol. 56(4), pages 909-930, July.
    32. Fisman, Raymond & Kariv, Shachar & Markovitz, Daniel, 2005. "Distinguishing Social Preferences from Preferences for Altruism," Department of Economics, Working Paper Series qt9q26c4fr, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    33. 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.
    34. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    35. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," Post-Print hal-03579844, HAL.
    36. repec:zbw:rwirep:0069 is not listed on IDEAS
    37. Heraklis M. Polemarchakis, 1983. "Homotheticity and the Aggregation of Consumer Demands," The Quarterly Journal of Economics, Oxford University Press, vol. 98(2), pages 363-369.
    38. 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.
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    More about this item

    Keywords

    Demand Theory; Efficiency; Experimental Economics; Homotheticity; Non-parametric Analysis; Revealed Preference; Utility Maximisation;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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