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Identification in a Class of Nonparametric Simultaneous Equations Models

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Abstract

We consider identification in a class of nonseparable nonparametric simultaneous equations models introduced by Matzkin (2008). These models combine standard exclusion restrictions with a requirement that each structural error enter through a "residual index" function. We provide constructive proofs of identification under several sets of conditions, demonstrating tradeoffs between restrictions on the support of the instruments, restrictions on the joint distribution of the structural errors, and restrictions on the form of the residual index function.

Suggested Citation

  • Steven T. Berry & Philip A. Haile, 2011. "Identification in a Class of Nonparametric Simultaneous Equations Models," Cowles Foundation Discussion Papers 1787R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2011.
  • Handle: RePEc:cwl:cwldpp:1787r
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d17/d1787-r.pdf
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    Cited by:

    1. is not listed on IDEAS
    2. Florian Gunsilius, 2018. "Point-identification in multivariate nonseparable triangular models," Papers 1806.09680, arXiv.org.
    3. Giovanni Forchini, 2014. "A General Result on Observational Equivalence in a Class of Nonparametric Structural Equations Models," School of Economics Discussion Papers 0114, School of Economics, University of Surrey.

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    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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