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Identification in Multiple Treatment Models under Discrete Variation

Vishal Kamat, Samuel Norris, Matthew Pecenco

arXiv 12 Jul 2023 · Econometrics · 2 citations (OpenAlex)

arXiv:2307.06174 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We develop a method to learn about treatment effects in multiple treatment models with discrete-valued instruments. We allow selection into treatment to be governed by a general class of threshold crossing models that permits multidimensional unobserved heterogeneity. Under a semi-parametric restriction on the distribution of unobserved heterogeneity, we show how a sequence of linear programs can be used to compute sharp bounds for a number of treatment effect parameters when the marginal treatment response functions underlying them remain nonparametric or are additionally parameterized.

Citation extraction

60
references
131
in-text mentions
60
distinct cited
3
self-citations
19,932
main-text words

appendix boundary found by appendix_command · 71% of the source is main text. Read the extracted text to check this.

Most heavily cited references

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.

ReferenceIntensityMentionsSectionsMain text
1Mogstad, M., Santos, A. and Torgovitsky, A (2018) Using instrumental variables for inference about policy relevant treatment parameters1.000124100%
2Lee, S. and Salanié, B (2018) Identifying effects of multivalued treatments1.00083100%
3Kline, P. and Walters, C. R (2016) Evaluating public programs with close substitutes: The case of head start0.98522695%
4Heckman, J. J. and Vytlacil, E (2005) Structural equations, treatment effects, and econometric policy evaluation 10.87452100%
5Imbens, G. W. and Angrist, J. D (1994) Identification and estimation of local average treatment effects0.84333100%
6Heckman, J. J., Urzua, S. and Vytlacil, E (2006) Understanding instrumental variables in models with essential heterogeneity0.81142100%
7Heckman, J. J., Urzua, S. and Vytlacil, E (2008) Instrumental variables in models with multiple outcomes: the general unordered case0.73732100%
8Heckman, J. J. and Vytlacil, E. J (1999) Local instrumental variables and latent variable models for identifying and bounding treatment effects0.73732100%
9Navjeevan, M., Pinto, R. and Santos, A (2023) Identification and estimation in a class of potential outcomes models0.73732100%
10Cox, G. F., Shi, X. and Shimizu, Y (2025) Testing inequalities linear in nuisance parameters0.6445240%

Showing the top 10 of 60 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
12SLS with Multiple Treatments0.64422
2Estimating Welfare Effects in a Nonparametric Choice Model: The Case of School Vouchers0.40511
3Treatment Effects with Targeting Instruments0.40511
4A Locally Robust Semiparametric Approach to Examiner IV Designs0.40511
5When does IV identification not restrict outcomes?0.40511
6Sharp Testable Implications of Encouragement Designs0.40511