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Identification of Nonseparable Triangular Models With Discrete Instruments


  • Xavier D'Haultfœuille
  • Philippe Février


We study the identification through instruments of a nonseparable function that relates a continuous outcome to a continuous endogenous variable. Using group and dynamical systems theories, we show that full identification can be achieved under strong exogeneity of the instrument and a dual monotonicity condition, even if the instrument is discrete. When identified, the model is also testable. Our results therefore highlight the identifying power of strong exogeneity when combined with monotonicity restrictions.

Suggested Citation

  • Xavier D'Haultfœuille & Philippe Février, 2015. "Identification of Nonseparable Triangular Models With Discrete Instruments," Econometrica, Econometric Society, vol. 83(3), pages 1199-1210, May.
  • Handle: RePEc:wly:emetrp:v:83:y:2015:i:3:p:1199-1210

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    Cited by:

    1. Matzkin, Rosa L., 2016. "On independence conditions in nonseparable models: Observable and unobservable instruments," Journal of Econometrics, Elsevier, vol. 191(2), pages 302-311.

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