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Dynamic Panel Multinomial Logit Models

Kevin Dano, Bo E. Honoré, Martin Weidner

arXiv 12 Oct 2026 · Econometrics

arXiv:2610.17104 · PDF · Extracted main text

Abstract

This paper provides moment conditions for dynamic multinomial logit panel data models with individual specific fixed effects. The moment conditions do not depend on the fixed effects and thus form the basis for generalized method of moments estimation. For a leading case, we provide sufficient conditions under which the moment conditions identify the common parameters, and we illustrate their use in an empirical application to household soft drink purchases. The construction of moment conditions is based on transformed models obtained by permuting outcomes across time periods. For any cyclic permutation, the ratio of the transformed model probability to the true model probability is free of the fixed effects, and comparing two such ratios yields restrictions on the common parameters of interest. This construction is not specific to the multinomial logit. It applies to any dynamic panel data model whose static counterpart admits a symmetric sufficient statistic for the fixed effects. This unifies our main result with analogous results for other models.

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34
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69
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34
distinct cited
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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
1Honoré, B. E. and M. Weidner (2025) Moment conditions for dynamic panel logit models with fixed effects0.9619589%
2Dano, K (2023) Transition probabilities and moment restrictions in dynamic fixed effects logit models self0.8434375%
3Magnac, T (2000) Subsidised training and youth employment: distinguishing unobserved heterogeneity from state dependence in labour market histories0.84333100%
4Neyman, J. and E. L. Scott (1948) Consistent estimates based on partially consistent observations0.84333100%
5Bonhomme, S (2012) Functional differencing0.81142100%
6Honoré, B. E. and E. Kyriazidou (2000) Panel data discrete choice models with lagged dependent variables0.81142100%
7Hahn, J (1997) A note on the efficient semiparametric estimation of some exponential panel models0.69351100%
8Arellano, M. and S. Bond (1991) Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations0.64422100%
9Heckman, J. J (1981) Statistical models for discrete panel data0.64422100%
10Honoré, B. E., C. Muris, and M. Weidner (2025) Dynamic ordered panel logit models self0.64422100%

Showing the top 10 of 34 scored citations.