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Dynamic demand for differentiated products with fixed-effects unobserved heterogeneity

Author

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  • Victor Aguirregabiria
Abstract
This paper studies identification and estimation of a dynamic discrete choice model of demand for differentiated product using consumer-level panel data with few purchase events per consumer (i.e., short panel). Consumers are forward-looking and their preferences incorporate two sources of dynamics: last choice dependence due to habits and switching costs, and duration dependence due to inventory, depreciation, or learning. A key distinguishing feature of the model is that consumer unobserved heterogeneity has a Fixed Effects (FE) structure -- that is, its probability distribution conditional on the initial values of endogenous state variables is unrestricted. I apply and extend recent results to establish the identification of all the structural parameters as long as the dataset includes four or more purchase events per household. The parameters can be estimated using a sufficient statistic - conditional maximum likelihood (CML) method. An attractive feature of CML in this model is that the sufficient statistic controls for the forward-looking value of the consumer's decision problem such that the method does not require solving dynamic programming problems or calculating expected present values.

Suggested Citation

  • Victor Aguirregabiria, 2022. "Dynamic demand for differentiated products with fixed-effects unobserved heterogeneity," Working Papers tecipa-723, University of Toronto, Department of Economics.
    • Handle: RePEc:tor:tecipa:tecipa-723
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    References listed on IDEAS

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    More about this item

    Keywords

    Structural dynamic discrete choice models; Dynamic demand of differentiated products; Panel data; Fixed effects; Habits; Switching costs; Storable products; Durable products;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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