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Optimal Policy Choices Under Uncertainty

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  • Sarah Moon

Abstract

Policymakers often face the decision of how to allocate resources across many different policies using noisy estimates of policy impacts. This paper develops a framework for locally optimal policy choices under statistical uncertainty. I show that posterior mean benefits and net costs are sufficient statistics for an oracle planner who knows the distribution of policy impacts. Since this distribution is unknown, I propose an empirical Bayes approach to estimate posterior means and approximate the oracle. I derive rates of convergence to the oracle's decision and show that, unlike empirical Bayes, plug-in methods can fail to converge. In an application to 127 policies, empirical Bayes rules have positive estimated local welfare effects, while the plug-in rule has negative estimated effects.

Suggested Citation

  • Sarah Moon, 2025. "Optimal Policy Choices Under Uncertainty," Papers 2503.03910, arXiv.org, revised Aug 2026.
  • Handle: RePEc:arx:papers:2503.03910
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    References listed on IDEAS

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    Cited by:

    1. Juan C. Yamin, 2025. "Poverty Targeting with Imperfect Information," Papers 2506.18188, arXiv.org, revised May 2026.

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