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Difference-in-Differences Estimators with Continuous Treatments and no Stayers

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  • Cl'ement de Chaisemartin
  • Xavier D'Haultf{oe}uille
  • Gonzalo Vazquez-Bare

Abstract

Many treatments or policy interventions are continuous in nature. Examples include prices, taxes or temperatures. Empirical researchers have usually relied on two-way fixed effect regressions to estimate treatment effects in such cases. However, such estimators are not robust to heterogeneous treatment effects in general; they also rely on the linearity of treatment effects. We propose estimators for continuous treatments that do not impose those restrictions, and that can be used when there are no stayers: the treatment of all units changes from one period to the next. We start by extending the nonparametric results of de Chaisemartin et al. (2023) to cases without stayers. We also present a parametric estimator, and use it to revisit Desch\^enes and Greenstone (2012).

Suggested Citation

  • Cl'ement de Chaisemartin & Xavier D'Haultf{oe}uille & Gonzalo Vazquez-Bare, 2024. "Difference-in-Differences Estimators with Continuous Treatments and no Stayers," Papers 2402.05432, arXiv.org.
    • Handle: RePEc:arx:papers:2402.05432
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    File URL: http://arxiv.org/pdf/2402.05432
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    References listed on IDEAS

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    1. Kong, Efang & Linton, Oliver & Xia, Yingcun, 2010. "Uniform Bahadur Representation For Local Polynomial Estimates Of M-Regression And Its Application To The Additive Model," Econometric Theory, Cambridge University Press, vol. 26(5), pages 1529-1564, October.
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    Cited by:

    1. Hoyos, Mateo, 2024. "Tariffs and Growth: Heterogeneity by Economic Structure," SocArXiv v75aw, Center for Open Science.
    2. repec:osf:socarx:v75aw_v1 is not listed on IDEAS

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