arXiv 1 Mar 2024 · Econometrics
arXiv:2403.00347 · PDF · DOI · OpenAlex · Extracted main text
The control function approach allows the researcher to identify various causal effects of interest. While powerful, it requires a strong invertibility assumption in the selection process, which limits its applicability. This paper expands the scope of the nonparametric control function approach by allowing the control function to be set-valued and derive sharp bounds on structural parameters. The proposed generalization accommodates a wide range of selection processes involving discrete endogenous variables, random coefficients, treatment selections with interference, and dynamic treatment selections. The framework also applies to partially observed or identified controls that are directly motivated from economic models.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Bertanha, M., M. Luflade, and I. Mourifié (2025) Causal Effects in Matching Mechanisms with Strategically Reported Preferences | 1.000 | 9 | 3 | 100% |
| 2 | Newey, W. K., J. L. Powell, and F. Vella (1999) Nonparametric Estimation of Triangular Simultaneous Equations Models | 0.928 | 4 | 4 | 100% |
| 3 | Molchanov, I. and F. Molinari (2018) Random sets in econometrics | 0.928 | 4 | 3 | 100% |
| 4 | Thornton, R. L (2008) The Demand for, and Impact of, Learning HIV Status | 0.874 | 5 | 2 | 100% |
| 5 | Manski, C. F. and E. Tamer (2002) Inference on Regressions with Interval Data on a Regressor or Outcome | 0.855 | 8 | 4 | 62% |
| 6 | Balat, J. F. and S. Han (2023) Multiple treatments with strategic substitutes | 0.843 | 3 | 3 | 100% |
| 7 | Han, S (2021) Identification in nonparametric models for dynamic treatment effects self | 0.843 | 3 | 3 | 100% |
| 8 | Heckman, J. J. and E. Vytlacil (2005) Structural Equations, Treatment Effects, and Econometric Policy Evaluation | 0.843 | 3 | 3 | 100% |
| 9 | Chesher, A. and A. M. Rosen (2017) Generalized instrumental variable models | 0.830 | 7 | 3 | 57% |
| 10 | Jovanovic, B (1989) Observable implications of models with multiple equilibria | 0.811 | 4 | 2 | 100% |
Showing the top 10 of 113 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.