Integrability of demand accounting for unobservable heterogeneity: a test on panel data
In recent years it has become apparent that we must take unobservable heterogeneity into account when conducting empirical consumer demand analysis. This paper is concerned with integrability (that is, whether demand is consistent with utility maximization) of the conditional mean demand (that is, the estimated demand) when allowing for unobservable heterogeneity. Integrability is important because it is necessary in order for the demand system estimates to be used for welfare analysis. Conditions for conditional mean demand to be integrable in the presence of unobservable heterogeneity are developed in the literature. There is, however, little empirical evidence suggesting whether these conditions for integrability are likely to be met in the data or not. In this paper we exploit the fact that the integrability conditions have testable implications for panel data and use a unique long panel data set to test them. Because of the sizeable longitudinal length of the panel, we are able to identify a very flexible specification of unobservable heterogeneity: We model individual demands as an Almost Ideal Demand system and allow for unobservable heterogeneity by allowing all intercept and slope parameters of the demand system to be individual-specific. We test the conditions for integrability of the conditional mean demand of this demand system. We do not reject them. This means that the conditional mean demand generated by a population of consumers with different preferences described by different Almost Ideal Demand systems is consistent with utility maximization. Given that integrability is not rejected, we conclude by an comparing the estimated demand system elasticties and welfare effects from a model with no heterogeneity (which is the model that would usually be estimated from cross sectional data) to those obtained from our heterogeneous model. We find that the homogeneous model severely overestimates income elasticities for luxury goods and that the welfare effects from the heterogeneous model exhibit a large amount of heterogeneity, but deviate with only a few percentage points from the homogeneous model at the mean.
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Haerdle,Wolfgang Jerison,Michael, 1988.
"Cross section Engel curves over time,"
Discussion Paper Serie A
160, University of Bonn, Germany.
- HÄRDLE, Wolfgang & JERISON, Michael, . "Cross section Engel curves over time," CORE Discussion Papers RP 991, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Wolfgang HÄRDLE & Michael JERISON, 1991. "Cross section Engel Curves over Time," Discussion Papers (REL - Recherches Economiques de Louvain) 1991045, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Hardle, W. & Jerison, M., 1990. "Cross section Engel curves over time," CORE Discussion Papers 1990016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Browning, Martin & Meghir, Costas, 1991. "The Effects of Male and Female Labor Supply on Commodity Demands," Econometrica, Econometric Society, vol. 59(4), pages 925-51, July.
- Laurent-Emmanuel Calvet & Etienne Comon, 2003.
"Behavioral Heterogeneity and the Income Effect,"
- Laurent E. Calvet & Etienne Comon, 2000. "Behavioral Heterogeneity and The Income Effect," Harvard Institute of Economic Research Working Papers 1892, Harvard - Institute of Economic Research.
- Walter Beckert, 2005. "Estimation of Heterogeneous Preferences, with an Application to Demand for Internet Services," The Review of Economics and Statistics, MIT Press, vol. 87(3), pages 495-502, August.
- Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
- Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, November.
- Pesaran, M. Hashem & Smith, Ron, 1995.
"Estimating long-run relationships from dynamic heterogeneous panels,"
Journal of Econometrics,
Elsevier, vol. 68(1), pages 79-113, July.
- Pesaran, M.H. & Smith, R., 1992. "Estimating Long-Run Relationships From Dynamic Heterogeneous Panels," Cambridge Working Papers in Economics 9215, Faculty of Economics, University of Cambridge.
- 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.
- Richard Blundell & Alan Duncan & Krishna Pendakur, 1998. "Semiparametric estimation and consumer demand," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(5), pages 435-461.
- Martin Browning & Thomas F. Crossley & Guglielmo Weber, 2002.
"Asking Consumption Questions in General Purpose Surveys,"
Social and Economic Dimensions of an Aging Population Research Papers
77, McMaster University.
- Martin Browning & Thomas F. Crossley & Guglielmo Weber, 2003. "Asking consumption questions in general purpose surveys," Economic Journal, Royal Economic Society, vol. 113(491), pages F540-F567, November.
- Martin Browning & Thomas F. Crossley & Gugliemo Weber, 2002. "Asking Consumption Questions in General Purpose Surveys," CAM Working Papers 2002-05, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
- John Muellbauer, 1975. "Aggregation, Income Distribution and Consumer Demand," Review of Economic Studies, Oxford University Press, vol. 42(4), pages 525-543.
- 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 & Xiaohong Chen & Dennis Kristensen, 2007. "Semi-Nonparametric IV Estimation of Shape-Invariant Engel Curves," Econometrica, Econometric Society, vol. 75(6), pages 1613-1669, November.
- Arthur Lewbel, 2001. "Demand Systems with and without Errors," American Economic Review, American Economic Association, vol. 91(3), pages 611-618, June.
- Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
- Jean-Michel Grandmont, 1991.
"Transformations of the Commodity Space, Behavioral Heterogeneity and the Aggregation Problem,"
Cowles Foundation Discussion Papers
987, Cowles Foundation for Research in Economics, Yale University.
- Grandmont, Jean-Michel, 1992. "Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem," Journal of Economic Theory, Elsevier, vol. 57(1), pages 1-35.
- Grandmont Jean-michel, 1991. "Transformation of the commodity space, behavioral heterogeneity and the aggregation problem," CEPREMAP Working Papers (Couverture Orange) 9114, CEPREMAP.
- Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
- Collado, M Dolores, 1998. "Separability and Aggregate Shocks in the Life-Cycle Model of Consumption: Evidence from Spain," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 60(2), pages 227-47, May.
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