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Evaluating Threshold Policies in Randomized Threshold Designs: A Cautionary Tale for Regression Discontinuity Designs

Shunsuke Imai, Koshi Nishida, Yuta Okamoto

arXiv 2 Oct 2026 · Econometrics

arXiv:2610.02938 · PDF · Extracted main text

Abstract

Many policies assign treatment according to whether a score crosses a cutoff. Regression discontinuity (RD) designs identify the effect of treatment assignment, but the threshold policy itself may also reshape individuals' incentives, inducing behavioral responses that affect outcomes even holding treatment status fixed---a channel that conventional RD designs cannot capture. We develop a framework that exploits randomized variation in policy thresholds, together with rank-invariance-type restrictions, to identify the treatment-assignment and incentive-response effects. We illustrate the empirical relevance of this distinction using data from a merit-based scholarship experiment in Malawi. In this illustration, the conventional RD estimate is positive, while the incentive-response effect is negative and more than twice as large in magnitude. These findings suggest that threshold policies may generate unintended adverse behavioral responses, potentially reflecting discouragement induced by demanding thresholds, and caution against relying solely on conventional RD estimates when evaluating threshold policies.

Citation extraction

26
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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
1James Berry and Hyuncheol Bryant Kim and Hyuk Harry Son (2022) When student incentives do not work: Evidence from a field experiment in Malawi1.00053100%
2Leuven, Edwin and Oosterbeek, Hessel and van der Klaauw, Bas (2010) The Effect of Financial Rewards on Students' Achievement: Evidence from a Randomized Experiment0.84333100%
3Moyu Liao (2025) Treatment Effects in the Regression Discontinuity Model with Counterfactual Cutoff and Distorted Running Variables0.69361100%
4Imbens, Guido and Kalyanaraman, Karthik (2012) Optimal Bandwidth Choice for the Regression Discontinuity Estimator0.6443267%
5David S. Lee (2008) Randomized experiments from non-random selection in U.S. House elections0.64422100%
6Chernozhukov, Victor and Hansen, Christian (2005) An IV Model of Quantile Treatment Effects0.51121100%
7Londoño-Vélez, Juliana and Rodríguez, Catherine and Sánchez, Fabio (2020) Upstream and Downstream Impacts of College Merit-Based Financial Aid for Low-Income Students: Ser Pilo Paga in Colombia0.51121100%
8Londoño-Vélez, Juliana and Álvarez, Luis Esteban and Rodríguez, Cath… (2025) Equity and Efficiency in Financial Aid Targeting0.51121100%
9Angrist, Joshua and Lang, Daniel and Oreopoulos, Philip (2009) Incentives and Services for College Achievement: Evidence from a Randomized Trial0.40511100%
10Marinho Bertanha (2020) Regression Discontinuity Design with Many Thresholds0.40511100%

Showing the top 10 of 26 scored citations.