Control functions in nonseparable simultaneous equations models

• 成果类型: Article
• 署名作者: Blundell, Richard; Matzkin, Rosa L.
• 署名单位: University of London; University College London; University of London; London School Economics & Political Science; University of California System; University of California Los Angeles
• 刊物名称: QUANTITATIVE ECONOMICS
• ISSN/ISSBN: 1759-7323
• DOI: 10.3982/QE281
• 发表日期: 2014
• 页码: 271-295
• 关键词: Nonseparable models; simultaneous equations; control functions

摘要

The control function approach (Heckman and Robb (1985)) in a system of linear simultaneous equations provides a convenient procedure to estimate one of the functions in the system using reduced form residuals from the other functions as additional regressors. The conditions on the structural system under which this procedure can be used in nonlinear and nonparametric simultaneous equations has thus far been unknown. In this paper, we define a new property of functions called control function separability and show it provides a complete characterization of the structural systems of simultaneous equations in which the control function procedure is valid.