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Unobserved Preference Heterogeneity in Demand Using Generalized Random Coefficients

Author

Listed:
  • Arthur Lewbel

    (Boston College)

  • Krishna Pendakur

    (Simon Fraser University)

Abstract

We propose a generalization of random coefficients models, in which the regression model is an unknown function of a vector of regressors, each of which is multiplied by an unobserved error. We also investigate a more restrictive model which is additive (or additive with interactions) in unknown functions of each regressor multiplied by its error. We show nonparametric identification of these models. In addition to providing a natural generalization of random coefficients, we provide economic motivations for the model based on demand system estimation. In these applications, the random coefficients can be interpreted as random utility parameters that take the form of Engel scales or Barten scales, which in the past were estimated as deterministic preference heterogeneity or household technology parameters. We apply these results to consumer surplus and related welfare calculations.

Suggested Citation

  • Arthur Lewbel & Krishna Pendakur, 2012. "Unobserved Preference Heterogeneity in Demand Using Generalized Random Coefficients," Boston College Working Papers in Economics 791, Boston College Department of Economics, revised 01 Jul 2013.
  • Handle: RePEc:boc:bocoec:791
    Note: Previously circulated as Generalized Random Coefficients With Equivalence Scale Applications
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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