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Geographic Difference-in-Discontinuities

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  • Kyle Butts

Abstract

A recent econometric literature has critiqued the use of regression discontinuities where administrative borders serves as the 'cutoff'. Identification in this context is difficult since multiple treatments can change at the cutoff and individuals can easily sort on either side of the border. This note extends the difference-in-discontinuities framework discussed in Grembi et. al. (2016) to a geographic setting. The paper formalizes the identifying assumptions in this context which will allow for the removal of time-invariant sorting and compound-treatments similar to the difference-in-differences methodology.

Suggested Citation

  • Kyle Butts, 2021. "Geographic Difference-in-Discontinuities," Papers 2109.07406, arXiv.org, revised Sep 2021.
    • Handle: RePEc:arx:papers:2109.07406
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    References listed on IDEAS

    as
    1. Keele, Luke J. & Titiunik, Rocío, 2015. "Geographic Boundaries as Regression Discontinuities," Political Analysis, Cambridge University Press, vol. 23(1), pages 127-155, January.
    2. Hahn, Jinyong & Todd, Petra & Van der Klaauw, Wilbert, 2001. "Identification and Estimation of Treatment Effects with a Regression-Discontinuity Design," Econometrica, Econometric Society, vol. 69(1), pages 201-209, January.
    3. Veronica Grembi & Tommaso Nannicini & Ugo Troiano, 2016. "Do Fiscal Rules Matter?," American Economic Journal: Applied Economics, American Economic Association, vol. 8(3), pages 1-30, July.
    4. Hector Galindo-Silva & Nibene Habib Some & Guy Tchuente, 2018. "Fuzzy Difference-in-Discontinuities: Identification Theory and Application to the Affordable Care Act," Papers 1812.06537, arXiv.org, revised Apr 2021.
    5. Matias D. Cattaneo & Nicolas Idrobo & Rocio Titiunik, 2019. "A Practical Introduction to Regression Discontinuity Designs: Foundations," Papers 1911.09511, arXiv.org.
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    4. Adema, Joop & Folke, Olle & Rickne, Johanna, 2025. "Re-Analysis of Ciacci, R. (2024). Banning the purchase of sex increases cases of rape: evidence from Sweden," I4R Discussion Paper Series 226, The Institute for Replication (I4R).
    5. repec:ags:cfcp15:344251 is not listed on IDEAS
    6. Wang, Yanbing & Schaub, Sergei & Wuepper, David & Finger, Robert, 2023. "Culture and agricultural biodiversity conservation," Food Policy, Elsevier, vol. 120(C).
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    9. Pedro Picchetti & Cristine C. X. Pinto & Stephanie T. Shinoki, 2024. "Difference-in-Discontinuities: Estimation, Inference and Validity Tests," Papers 2405.18531, arXiv.org, revised Jan 2026.

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