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Estimation of Nonparametric Functions in Simultaneous Equations Models, with an Application to Consumer Demand

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Author Info
Donald J. Brown () (Cowles Foundation, Yale University)
Rosa L. Matzkin (Northwestern University)

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Abstract

We present a method for consistently estimating nonparametric functions and distributions in simultaneous equations models. This method is used to identify and estimate a random utility model of consumer demand. Our identification conditions for this particular model extend the results of Houthakker (1950), Uzawa (1971) and Mas-Colell (1977), where a deterministic utility function is uniquely recovered from its deterministic demand function.

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File URL: http://cowles.econ.yale.edu/P/cd/d11b/d1175.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1175.

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Length: 18 pages
Date of creation: Mar 1998
Date of revision:
Handle: RePEc:cwl:cwldpp:1175

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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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.:
  1. Manski, Charles F, 1983. "Closest Empirical Distribution Estimation," Econometrica, Econometric Society, vol. 51(2), pages 305-19, March. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. McElroy, Marjorie B, 1987. "Additive General Error Models for Production, Cost, and Derived Demand or Share Systems," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 737-57, August. [Downloadable!] (restricted)
  4. Mas-Colell, Andreu, 1977. "The Recoverability of Consumers' Preferences from Market Demand Behavior," Econometrica, Econometric Society, vol. 45(6), pages 1409-30, September. [Downloadable!] (restricted)
  5. Brown, Bryan W, 1983. "The Identification Problem in Systems Nonlinear in the Variables," Econometrica, Econometric Society, vol. 51(1), pages 175-96, January. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. 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. [Downloadable!] (restricted)
    Other versions:
  2. Joseph G. Altonji & Rosa L. Matzkin, 2001. "Panel Data Estimators for Nonseparable Models with Endogenous Regressors," NBER Technical Working Papers 0267, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Arthur Lewbel, 2001. "Demand Systems with and without Errors," American Economic Review, American Economic Association, vol. 91(3), pages 611-618, June. [Downloadable!] (restricted)
  4. Martin Browning & Pierre-André Chiappori & Valérie Lechene, 2006. "Collective and Unitary Models: A Clarification," Review of Economics of the Household, Springer, vol. 4(1), pages 5-14, 03. [Downloadable!] (restricted)
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  5. Donald J. Brown & Rosa L. Matzkin, 1995. "Testable Restrictions on the Equilibrium Manifold," Cowles Foundation Discussion Papers 1109, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  6. Arthur Lewbel & Krishna Pendakur, 2006. "Tricks With Hicks: The EASI Demand System," Boston College Working Papers in Economics 651, Boston College Department of Economics, revised 26 Nov 2008. [Downloadable!]
    Other versions:
  7. Woocheol Kim, 2004. "Identification And Estimation Of Nonparametric Structural," Econometric Society 2004 Far Eastern Meetings 733, Econometric Society. [Downloadable!]
  8. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June. [Downloadable!] (restricted)
    Other versions:
  9. Benkard, C. Lanier & Berry, Steven, 2006. "On the Nonparametric Identification of Nonlinear Simultaneous Equations Models: Comments on B. Brown (1983) and Roehrig (1988)," Research Papers 1868r, Stanford University, Graduate School of Business. [Downloadable!]
    Other versions:
  10. Donald J. Brown & Caterina Calsamiglia, 2003. "Rationalizing and Curve-Fitting Demand Data with Quasilinear Utilities," Cowles Foundation Discussion Papers 1399R, Cowles Foundation, Yale University, revised Jul 2004. [Downloadable!]
  11. Arthur Lewbel, 2006. "Modeling Heterogeneity," Boston College Working Papers in Economics 650, Boston College Department of Economics. [Downloadable!]
  12. Richard Blundell & Martin Browning & Ian Crawford, 1997. "Non-parametric Engel curves and revealed preferences," IFS Working Papers W97/14, Institute for Fiscal Studies. [Downloadable!]
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  13. Mette Christensen, 2007. "Heterogeneity in consumer demands and the income effect: evidence from panel data," IFS Working Papers W07/16, Institute for Fiscal Studies. [Downloadable!]
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