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

A-Tier
Journal: Journal of Econometrics
Year: 2023
Volume: 235
Issue: 2
Pages: 2245-2265

Authors (3)

Lu, Zhentong (not in RePEc) Shi, Xiaoxia (University of Wisconsin-Madiso...) Tao, Jing (not in RePEc)

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

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.

Technical Details

RePEc Handle
repec:eee:econom:v:235:y:2023:i:2:p:2245-2265
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-29