Gautier, Eric and Hoderlein, Stefan (2011) A triangular treatment effect model with random coefficients in the selection equation. TSE Working Paper, n. 15-598

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This paper considers treatment effects under endogeneity with complex heterogeneity in the selection equation. We model the outcome of an endogenous treat- ment as a triangular system, where both the outcome and first-stage equations consist of a random coefficients model. The first-stage specifically allows for nonmonotone selection into treatment. We provide conditions under which marginal distributions of potential outcomes, average and quantile treatment effects, all conditional on first-stage random coefficients, are identified. Under the same conditions, we derive bounds on the (conditional) joint distributions of potential outcomes and gains from treatment, and provide additional conditions for their point identification. All conditional quantities yield unconditional effects (e.g., the average treatment effect) by weighted integration.

Item Type: Monograph (Working Paper)
Language: English
Date: 2 September 2011
Uncontrolled Keywords: Treatment effects, Endogeneity, Random Coefficients, Nonparametric Identification, Partial Identification, Roy Model
Divisions: TSE-R (Toulouse)
Institution: Université Toulouse Capitole
Site: UT1
Date Deposited: 02 Oct 2015 13:40
Last Modified: 02 Apr 2021 15:50
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