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Econometrica Vol. 77 No. 5 2009

Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity

Guido W. Imbens1; Whitney K. Newey2,3,4,5

1 Harvard University Press · 2 National Bureau of Economic Research · 3 Associated Press · 4 University College London · 5 Massachusetts Institute of Technology

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Abstract

This paper uses control variables to identify and estimate models with nonseparable, multidimensional disturbances. Triangular simultaneous equations models are considered, with instruments and disturbances that are independent and a reduced form that is strictly monotonic in a scalar disturbance. Here it is shown that the conditional cumulative distribution function of the endogenous variable given the instruments is a control variable. Also, for any control variable, identification results are given for quantile, average, and policy effects. Bounds are given when a common support assumption is not satisfied. Estimators of identified objects and bounds are provided, and a demand analysis empirical example is given.

DOI
10.3982/ecta7108
Volume
77
Issue
5
Pages
1481-1512
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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