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Estimation of random coefficients logit demand models with interactive fixed effects

Hyungsik Roger Moon, Matthew Shum, Martin Weidner

arXiv 1 May 2026 · Econometrics

arXiv:2605.00602 · PDF · Extracted main text

Abstract

We extend the Berry, Levinsohn and Pakes (BLP, 1995) random coefficients discrete-choice demand model, which underlies much recent empirical work in IO. We add interactive fixed effects in the form of a factor structure on the unobserved product characteristics. The interactive fixed effects can be arbitrarily correlated with the observed product characteristics (including price), which accommodates endogeneity and, at the same time, captures strong persistence in market shares across products and markets. We propose a two-step least squares-minimum distance (LS-MD) procedure to calculate the estimator. Our estimator is easy to compute, and Monte Carlo simulations show that it performs well. We consider an empirical illustration to US automobile demand.

Citation extraction

38
references
138
in-text mentions
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distinct cited
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self-citations
27,920
main-text words

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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
1Moon, H. and Weidner, M (2015) Dynamic Linear Panel Regression Models with Interactive Fixed Effects self1.000247100%
2Moon, H. R. and Weidner, M (2015) Linear regression for panel with unknown number of factors as interactive fixed effects self1.000177100%
3Bai, J (2009) Panel data models with interactive fixed effects1.000127100%
4Bajari, P., Fox, J., Kim, K., and Ryan, S (2011) A simple nonparametric estimator for the distribution of random coefficients0.84333100%
5Berry, S., Levinsohn, J., and Pakes, A (1995) Automobile prices in market equilibrium0.64422100%
6Berry, S., Linton, O. B., and Pakes, A (2004) Limit theorems for estimating the parameters of differentiated product demand systems0.64422100%
7Chernozhukov, V. and Hansen, C (2006) Instrumental quantile regression inference for structural and treatment effect models0.64422100%
8Hahn, J. and Newey, W (2004) Jackknife and analytical bias reduction for nonlinear panel models0.64422100%
9Neyman, J. and Scott, E. L (1948) Consistent estimates based on partially consistent observations0.64422100%
Berry et~al.unmatched citation key Berry et~al.0.58531100%

Showing the top 10 of 69 scored citations. 1 of these could not be matched to a bibliography entry, so only the citation key is shown.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1On the unbiased asymptotic normality of quantile regression with fixed effects0.40511
2Inference in Unbalanced Panel Data Models with Interactive Fixed Effects0.40511
3Linear Panel Regressions with Two-Way Unobserved Heterogeneity0.40511
4Estimating Demand with Recentered Instruments0.40511