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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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    File URL: http://papers.tinbergen.nl/15064.pdf
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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.
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    3. 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.
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    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. 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.
    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. 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.
    9. 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.
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    13. 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.
    14. Nicole Becker & Kirsten Häger & Jan Heufer, 2013. "Revealed Notions of Distributive Justice I: Theory," Jena Economic Research Papers 2013-041, Friedrich-Schiller-University Jena.
    15. 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.
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    More about this item

    Keywords

    Demand Theory; Efficiency; Experimental Economics; Homotheticity; Non-parametric Analysis; Revealed Preference; Utility Maximisation;

    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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