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October 12, 20250 citationsOpen Access

Optimal Policy Learning for Multi-Action Treatment with Risk Preference using Stata

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GCGiovanni Cerulli

Key Points

  • Optimal policy learning algorithm improves treatment assignment considering risk preferences and covariates.
  • The method shows maximal welfare estimation through regression adjustment and other techniques.
  • It incorporates risk preferences such as risk-neutral, linear risk-averse, and quadratic risk-averse.
  • Graphical representation of the optimal policy enhances understanding of treatment assignments.

Abstract

This paper presents the Stata community-distributed command "oplₘafb" (and the companion command "oplₘaᵥf"), for implementing the first-best Optimal Policy Learning (OPL) algorithm to estimate the best treatment assignment given the observation of an outcome, a multi-action (or multi-arm) treatment, and a set of observed covariates (features). It allows for different risk preferences in decision-making (i. e. , risk-neutral, linear risk-averse, and quadratic risk-averse), and provides a graphical representation of the optimal policy, along with an estimate of the maximal welfare (i. e. , the value-function estimated at optimal policy) using regression adjustment (RA), inverse-probability weighting (IPW), and doubly robust (DR) formulas.

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Cite This Study

Giovanni Cerulli (2025) studied this question.

synapsesocial.com/papers/68ec1be02b8fa9b2b78ad2c6https://doi.org/10.48550/arxiv.2509.06851
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