Nonparametric estimation of a heterogeneous demand function under the Slutsky inequality restriction
Economic theory rarely provides a parametric specification for a model, but it often provides shape restrictions. We consider nonparametric estimation of the heterogeneous demand for gasoline in the U.S. subject to the Slutsky inequality restriction of consumer choice theory. We derive conditions under which the demand function can be estimated consistently by nonparametric quantile regression subject to the Slutsky restriction. The estimated function reveals systematic variation in price responsiveness across the income distribution. A new method for estimating quantile instrumental variables models is also developed to allow for the endogeneity of prices. In our application, shape-constrained quantile IV estimates show similar patterns of demand as shape-constrained estimates under exogeneity. The results illustrate the improvements in the finite-sample performance of a nonparametric estimator that can be achieved by imposing shape restrictions based on economic theory.
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- Roger Koenker & Kevin F. Hallock, 2001.
Journal of Economic Perspectives,
American Economic Association, vol. 15(4), pages 143-156, Fall.
- Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762.
- Whitney Newey & Guido Imbens, 2004.
"Identification and Estimation of Triangular Simultaneous Equations Models without Additivity,"
Econometric Society 2004 North American Summer Meetings
594, Econometric Society.
- Guido W. Imbens & Whitney K. Newey, 2009. "Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity," Econometrica, Econometric Society, vol. 77(5), pages 1481-1512, 09.
- Guido W. Imbens & Whitney K. Newey, 2002. "Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity," NBER Technical Working Papers 0285, National Bureau of Economic Research, Inc.
- Brown, Bryan W & Walker, Mary Beth, 1989. "The Random Utility Hypothesis and Inference in Demand Systems," Econometrica, Econometric Society, vol. 57(4), pages 815-29, July.
- Richard Blundell & Joel L. Horowitz & Matthias Parey, 2012.
"Measuring the price responsiveness of gasoline demand: Economic shape restrictions and nonparametric demand estimation,"
Econometric Society, vol. 3(1), pages 29-51, 03.
- Richard Blundell & Joel Horowitz & Matthias Parey, 2011. "Measuring the price responsiveness of gasoline demand: economic shape restrictions and nonparametric demand estimation," CeMMAP working papers CWP24/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Richard Blundell, 2005. "Presidential Address: How Revealing Is Revealed Preference?," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 211-235, 04/05.
- Stefan Hoderlein & Anne Vanhems, 2011. "Welfare analysis using nonseparable models," CeMMAP working papers CWP01/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Manning, Willard G. & Blumberg, Linda & Moulton, Lawrence H., 1995. "The demand for alcohol: The differential response to price," Journal of Health Economics, Elsevier, vol. 14(2), pages 123-148, June.
- Stefan Hoderlein & Jörg Stoye, 2014.
"Revealed Preferences in a Heterogeneous Population,"
The Review of Economics and Statistics,
MIT Press, vol. 96(2), pages 197-213, May.
- Stefan Hoderlein & Jörg Stoye, 2009. "Revealed Preferences in a Heterogeneous Population," Boston College Working Papers in Economics 745, Boston College Department of Economics.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, July.
- Frondel, Manuel & Ritter, Nolan & Vance, Colin, 2012. "Heterogeneity in the rebound effect: Further evidence for Germany," Energy Economics, Elsevier, vol. 34(2), pages 461-467.
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