Bounds on Counterfactual Distributions Under Semi-Monotonicity Constraints

Stefan Boes

No 920, SOI - Working Papers from Socioeconomic Institute - University of Zurich

Abstract: This paper explores semi-monotonicity constraints in the distribution of potential outcomes, first, conditional on an instrument, and second, in terms of the response function. The imposed assumptions are strictly weaker than traditional instrumental variables assumptions and can be gainfully employed to bound the counterfactual distributions, even though point identification is only achieved in special cases. The bounds have a simple analytical form and thus have much practical relevance in all instances when strong exogeneity assumptions cannot be credibly invoked. The bounding strategy is illustrated in a simulated data example and applied to the effect of education on smoking.

Keywords: nonparametric bounds; treatment effects; causality; endogeneity; instrumental variables; policy evaluation (search for similar items in EconPapers)
JEL-codes: C14 C21 C25 (search for similar items in EconPapers)
Pages: 38 pages
Date: 2009-12
New Economics Papers: this item is included in nep-ecm
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https://www.zora.uzh.ch/id/eprint/51928/1/wp0920.pdf first version, 2009 (application/pdf)

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Persistent link: https://EconPapers.repec.org/RePEc:soz:wpaper:0920

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