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Dynamic demand for differentiated products with fixed-effects unobserved heterogeneity

Victor Aguirregabiria

arXiv 8 May 2022 · Econometrics · publishedEconometrics Journal (2022) · 1 citations (OpenAlex)

arXiv:2205.03948 · PDF · DOI · OpenAlex · Extracted main text

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.

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64
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Aguirregabiria, Gu, and Luo (2021) Sufficient statistics for unobserved heterogeneity in dynamic structural logit models1.000143100%
2Honoré and Kyriazidou (2000) Panel data discrete choice models with lagged dependent variables1.000143100%
3Hendel and Nevo (2006) Measuring the implications of sales and consumer inventory behavior1.00083100%
4Keane (1997) Modeling heterogeneity and state dependence in consumer choice behavior1.00083100%
5Mysliwski, Sanches, Junior, and Srisuma (2020) The Welfare Effects of Promotional Fees1.00083100%
6Osborne (2011) Consumer learning, switching costs, and heterogeneity: A structural examination1.00083100%
7Erdem, Imai, and Keane (2003) Brand and quantity choice dynamics under price uncertainty1.00063100%
8Chamberlain (1985) Heterogeneity, omitted variable bias, and duration dependence0.87462100%
9Cox (1958) The regression analysis of binary sequences0.87462100%
10Keane (2015) Panel data discrete choice models of consumer demand0.87452100%

Showing the top 10 of 64 scored citations.