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Boundary Discontinuity Designs: Theory and Practice

Matias Cattaneo, Rocio Titiunik and Ruiqi Rae Yu

Papers from arXiv.org

Abstract: The boundary discontinuity (BD) design is a non-experimental method for identifying causal effects that exploits a thresholding rule based on a bivariate score and a boundary curve. This widely used method generalizes the univariate regression discontinuity design but introduces unique challenges arising from its multidimensional nature. We synthesize over 80 empirical papers that use the BD design, tracing the method's application from its formative stages to its implementation in modern research. We also overview ongoing theoretical and methodological research on identification, estimation, and inference for BD designs employing local polynomial regression, and offer recommendations for practice.

Date: 2025-11, Revised 2026-02
New Economics Papers: this item is included in nep-ecm
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