arXiv 7 Dec 2021 · Econometrics · 2 citations (OpenAlex)
arXiv:2112.03872 · PDF · DOI · OpenAlex · Extracted main text
This paper studies nonparametric identification and estimation of causal effects in centralized school assignment. In many centralized assignment algorithms, students are subjected to both lottery-driven variation and regression discontinuity (RD) driven variation. We characterize the full set of identified atomic treatment effects (aTEs), defined as the conditional average treatment effect between a pair of schools, given student characteristics. Atomic treatment effects are the building blocks of more aggregated notions of treatment contrasts, and common approaches to estimating aggregations of aTEs can mask important heterogeneity. In particular, many aggregations of aTEs put zero weight on aTEs driven by RD variation, and estimators of such aggregations put asymptotically vanishing weight on the RD-driven aTEs. We provide a diagnostic and recommend new aggregation schemes. Lastly, we provide estimators and accompanying asymptotic results for inference for those aggregations.
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| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Abdulkadiro glu, Atila and Angrist, Joshua D. and Narita, Yusuke and… (2022) Breaking ties: regression discontinuity design meets market design | 1.000 | 36 | 4 | 100% |
| 2 | Azevedo, Eduardo M and Leshno, Jacob D (2016) A supply and demand framework for two-sided matching markets | 1.000 | 6 | 3 | 100% |
| 3 | Hahn, Jinyong and Todd, Petra and Van der Klaauw, Wilbert (2001) Identification and estimation of treatment effects with a regression-discontinuity design | 0.928 | 5 | 4 | 80% |
| 4 | Bertanha, Marinho and Gallegos, Sebastiàn and Luflade, Margaux and M… (2022) Causal Effects in Matching Mechanisms with Strategically Reported Preferences | 0.899 | 11 | 4 | 73% |
| 5 | Agarwal, Nikhil and Somaini, Paulo (2018) Demand Analysis Using Strategic Reports: An Application to a School Choice Mechanism | 0.843 | 3 | 3 | 100% |
| 6 | Abdulkadiro glu, Atila and Angrist, Joshua D. and Narita, Yusuke and… (2017) Research Design Meets Market Design: Using Centralized Assignment for Impact Evaluation | 0.836 | 12 | 3 | 58% |
| 7 | Kirkeboen, Lars J and Leuven, Edwin and Mogstad, Magne (2016) Field of study, earnings, and self-selection | 0.737 | 3 | 2 | 100% |
| 8 | Arkhangelsky, Dmitry and Rutgers, Wisse (2025) Evaluating Local Policies in Centralized Markets | 0.644 | 2 | 2 | 100% |
| 9 | Che, Yeon-Koo and Hahm, Dong Woo and He, Yinghua (2023) Leveraging uncertainties to infer preferences: Robust analysis of school choice | 0.644 | 2 | 2 | 100% |
| 10 | Khan, Shakeeb and Tamer, Elie (2010) Irregular identification, support conditions, and inverse weight estimation | 0.644 | 2 | 2 | 100% |
Showing the top 10 of 50 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Causal Effects in Matching Mechanisms with Strategically Reported Preferences | 0.405 | 1 | 1 |