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Semi-nonparametric estimation of random coefficients logit model for aggregate demand

Zhentong Lu, Xiaoxia Shi and Jing Tao

Journal of Econometrics, 2023, vol. 235, issue 2, 2245-2265

Abstract: In this paper, we propose a two-step semi-nonparametric estimator for the widely used random coefficients logit demand model. The approach applies to the same setup as Berry et al. (1995, BLP)-type of models with many products, but has the advantage of not requiring computing demand inversion. In particular, the first step of our approach estimates the fixed coefficients via a computationally very easy linear sieve generalized method of moments (GMM). The second step uncovers the distribution of the random coefficient via a sieve minimum distance or GMM procedure. We show identification and derive the asymptotic properties of the estimator in a large market environment. Monte Carlo simulations and empirical illustrations support the theoretical results and demonstrate the usefulness of our estimator in practice.

Keywords: Demand estimation; Differentiated products; Random coefficients logit; Semi-nonparametric estimation (search for similar items in EconPapers)
JEL-codes: C01 C14 L10 L62 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:235:y:2023:i:2:p:2245-2265

DOI: 10.1016/j.jeconom.2022.10.011

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