Optimal Targeting in Dynamic Systems

Fuente: arXiv
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Autores principales: Hu, Yuchen, Li, Shuangning, Wager, Stefan
Formato: Preprint
Publicado: 2025
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author Hu, Yuchen
Li, Shuangning
Wager, Stefan
author_facet Hu, Yuchen
Li, Shuangning
Wager, Stefan
contents Modern treatment targeting methods often rely on estimating the conditional average treatment effect (CATE) using machine learning tools. While effective in identifying who benefits from treatment on the individual level, these approaches typically overlook system-level dynamics that may arise when treatments induce strain on shared capacity. We study the problem of targeting in Markovian systems, where treatment decisions must be made one at a time as units arrive, and early decisions can impact later outcomes through delayed or limited access to resources. We show that optimal policies in such settings compare CATE-like quantities to state-specific thresholds, where each threshold reflects the expected cumulative impact on the system of treating an additional individual in the given state. We propose an algorithm that augments standard CATE estimation with off-policy evaluation techniques to estimate these thresholds from observational data. Theoretical results establish consistency and convergence guarantees, and empirical studies demonstrate that our method improves long-run outcomes considerably relative to individual-level CATE targeting rules.
format Preprint
id arxiv_https___arxiv_org_abs_2507_00312
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal Targeting in Dynamic Systems
Hu, Yuchen
Li, Shuangning
Wager, Stefan
Methodology
Modern treatment targeting methods often rely on estimating the conditional average treatment effect (CATE) using machine learning tools. While effective in identifying who benefits from treatment on the individual level, these approaches typically overlook system-level dynamics that may arise when treatments induce strain on shared capacity. We study the problem of targeting in Markovian systems, where treatment decisions must be made one at a time as units arrive, and early decisions can impact later outcomes through delayed or limited access to resources. We show that optimal policies in such settings compare CATE-like quantities to state-specific thresholds, where each threshold reflects the expected cumulative impact on the system of treating an additional individual in the given state. We propose an algorithm that augments standard CATE estimation with off-policy evaluation techniques to estimate these thresholds from observational data. Theoretical results establish consistency and convergence guarantees, and empirical studies demonstrate that our method improves long-run outcomes considerably relative to individual-level CATE targeting rules.
title Optimal Targeting in Dynamic Systems
topic Methodology
url https://arxiv.org/abs/2507.00312