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Testing and imposing Slutsky symmetry in nonparametric demand systems

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  • Haag, Berthold R.
  • Hoderlein, Stefan
  • Pendakur, Krishna

Abstract

Maximization of utility implies that consumer demand systems have a Slutsky matrix which is everywhere symmetric. However, previous non- and semi-parametric approaches to the estimation of consumer demand systems do not give estimators that are restricted to satisfy this condition, nor do they offer powerful tests of this restriction. We use nonparametric modeling to test and impose Slutsky symmetry in a system of expenditure share equations over prices and expenditure. In this context, Slutsky symmetry is a set of nonlinear cross-equation restrictions on levels and derivatives of consumer demand equations. The key insight is that due to the differing convergence rates of levels and derivatives and due to the fact that the symmetry restrictions are linear in derivatives, both the test and the symmetry restricted estimator behave asymptotically as if these restrictions were (locally) linear. We establish large and finite sample properties of our methods, and show that our test has advantages over the only other comparable test. All methods we propose are implemented with Canadian micro-data. We find that our nonparametric analysis yields statistically significantly and qualitatively different results from traditional parametric estimators and tests.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 153 (2009)
Issue (Month): 1 (November)
Pages: 33-50

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Handle: RePEc:eee:econom:v:153:y:2009:i:1:p:33-50

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Web page: http://www.elsevier.com/locate/jeconom

Related research

Keywords: Demand system Slutsky symmetry Rationality Nonparametric regression Nonparametric testing;

References

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  1. R, Blundell & Jean-Marc Robin, 1997. "Estimation in Large and Dissagregated Demand Systems : An Estimator for Conditionally Linear Systems," Working Papers 97-08, Centre de Recherche en Economie et Statistique.
  2. Brown, Bryan W & Walker, Mary Beth, 1989. "The Random Utility Hypothesis and Inference in Demand Systems," Econometrica, Econometric Society, Econometric Society, vol. 57(4), pages 815-29, July.
  3. Lewbel, Arthur, 1995. "Consistent nonparametric hypothesis tests with an application to Slutsky symmetry," Journal of Econometrics, Elsevier, Elsevier, vol. 67(2), pages 379-401, June.
  4. Hoderlein, Stefan, 2011. "How many consumers are rational?," Journal of Econometrics, Elsevier, Elsevier, vol. 164(2), pages 294-309, October.
  5. Epstein, Larry G. & Yatchew, Adonis J., 1985. "Non-parametric hypothesis testing procedures and applications to demand analysis," Journal of Econometrics, Elsevier, Elsevier, vol. 30(1-2), pages 149-169.
  6. repec:wop:humbsf:2000-85 is not listed on IDEAS
  7. Gozalo, Pedro L., 1997. "Nonparametric bootstrap analysis with applications to demographic effects in demand functions," Journal of Econometrics, Elsevier, Elsevier, vol. 81(2), pages 357-393, December.
  8. Tripathi, Gautam & Kim, Woocheol, 2000. "Nonparametric estimation of homogeneous function," SFB 373 Discussion Papers 2000,85, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  9. Gallant, A. Ronald & Souza, Geraldo, 1991. "On the asymptotic normality of Fourier flexible form estimates," Journal of Econometrics, Elsevier, Elsevier, vol. 50(3), pages 329-353, December.
  10. Bierens, H.J. & Ploberger, W., 1995. "Asymptotic theory of integrated conditional moment tests," Discussion Paper, Tilburg University, Center for Economic Research 1995-124, Tilburg University, Center for Economic Research.
  11. Bierens, Herman J., 1982. "Consistent model specification tests," Journal of Econometrics, Elsevier, Elsevier, vol. 20(1), pages 105-134, October.
  12. Arthur Lewbel, 2001. "Demand Systems with and without Errors," American Economic Review, American Economic Association, vol. 91(3), pages 611-618, June.
  13. Hardle, W. & Tsybakov, A., 1997. "Local polynomial estimators of the volatility function in nonparametric autoregression," Journal of Econometrics, Elsevier, Elsevier, vol. 81(1), pages 223-242, November.
  14. Arthur Lewbel & Krishna Pendakur, 2009. "Tricks with Hicks: The EASI Demand System," American Economic Review, American Economic Association, vol. 99(3), pages 827-63, June.
  15. Richard Blundell & Alan Duncan & Krishna Pendakur, 1998. "Semiparametric estimation and consumer demand," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 13(5), pages 435-461.
  16. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
  17. Li, Q. & Wang, Suojin, 1998. "A simple consistent bootstrap test for a parametric regression function," Journal of Econometrics, Elsevier, Elsevier, vol. 87(1), pages 145-165, August.
  18. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, Oxford University Press, number 9780195102680, October.
  19. Ait-Sahalia, Yacine & Bickel, Peter J. & Stoker, Thomas M., 2001. "Goodness-of-fit tests for kernel regression with an application to option implied volatilities," Journal of Econometrics, Elsevier, Elsevier, vol. 105(2), pages 363-412, December.
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Citations

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Cited by:
  1. Anyck Dauphin & Abdel-Rahmen El Lahga & Bernard Fortin & Guy Lacroix, 2008. "Are Children Decision-Makers Within the Household?," Cahiers de recherche 0829, CIRPEE.
  2. Stefan Hoderlein, 2009. "How many consumers are rational?," CeMMAP working papers, Centre for Microdata Methods and Practice, Institute for Fiscal Studies CWP32/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  3. Blundell, Richard & Kristensen, Dennis & Matzkin, Rosa, 2014. "Bounding quantile demand functions using revealed preference inequalities," Journal of Econometrics, Elsevier, Elsevier, vol. 179(2), pages 112-127.
  4. Holger Dette & Stefan Hoderlein & Natalie Neumeyer, 2013. "Testing Multivariate Economic Restrictions Using Quantiles: The Example of Slutsky Negative Semidefiniteness," Boston College Working Papers in Economics 836, Boston College Department of Economics.
  5. Hoderlein, Stefan & Mihaleva, Sonya, 2008. "Increasing the price variation in a repeated cross section," Journal of Econometrics, Elsevier, Elsevier, vol. 147(2), pages 316-325, December.
  6. Fabrizio Balli, 2012. "Are Traditional Equivalence Scales Still Useful? A Review and A Possible Answer," Department of Economics University of Siena, Department of Economics, University of Siena 656, Department of Economics, University of Siena.
  7. Krishna Pendakur & Stefan Sperlich, 2010. "Semiparametric estimation of consumer demand systems in real expenditure," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 25(3), pages 420-457.
  8. Pendakur, Krishna & Scholz, Michael & Sperlich, Stefan, 2010. "Semiparametric indirect utility and consumer demand," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2763-2775, November.
  9. Joel Horowitz, 2013. "Ill-posed inverse problems in economics," CeMMAP working papers, Centre for Microdata Methods and Practice, Institute for Fiscal Studies CWP37/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.

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