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Fixed‐effects binary choice models with three or more periods

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  • Laurent Davezies
  • Xavier D'Haultfœuille
  • Martin Mugnier

Abstract

We consider fixed‐effects binary choice models with a fixed number of periods T and regressors without a large support. If the time‐varying unobserved terms are i.i.d. with known distribution F, Chamberlain (2010) shows that the common slope parameter is point identified if and only if F is logistic. However, he only considers in his proof T = 2. We show that the result does not generalize to T ≥ 3: the common slope parameter can be identified when F belongs to a family including the logit distribution. Identification is based on a conditional moment restriction. Under restrictions on the covariates, these moment conditions lead to point identification of relative effects. If T = 3 and mild conditions hold, GMM estimators based on these conditional moment restrictions reach the semiparametric efficiency bound. Finally, we illustrate our method by revisiting Brender and Drazen (2008).

Suggested Citation

  • Laurent Davezies & Xavier D'Haultfœuille & Martin Mugnier, 2023. "Fixed‐effects binary choice models with three or more periods," Quantitative Economics, Econometric Society, vol. 14(3), pages 1105-1132, July.
    • Handle: RePEc:wly:quante:v:14:y:2023:i:3:p:1105-1132
    DOI: 10.3982/QE1991
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    Cited by:

    1. Bo E. Honoré & Luojia Hu & Ekaterini Kyriazidou & Martin Weidner, 2024. "Simultaneity in binary outcome models with an application to employment for couples," Advanced Studies in Theoretical and Applied Econometrics, in: Subal C. Kumbhakar & Robin C. Sickles & Hung-Jen Wang (ed.), Advances in Applied Econometrics, pages 741-777, Springer.
    2. Geert Dhaene & Martin Weidner, 2023. "Approximate functional differencing," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 14(3), pages 379-416, December.
    3. Geert Dhaene & Martin Weidner, 2023. "Approximate Functional Differencing," Papers 2301.13736, arXiv.org, revised May 2023.

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