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We apply classical statistical decision theory to a large class of treatment choice problems with partial identification. We show that, in a general class of problems with Gaussian likelihood, all decision rules are admissible; it is…

Econometrics · Economics 2025-06-24 José Luis Montiel Olea , Chen Qiu , Jörg Stoye

This study examines the problem of determining whether to treat individuals based on observed covariates. The most common decision rule is the conditional empirical success (CES) rule proposed by Manski (2004), which assigns individuals to…

Econometrics · Economics 2025-10-08 Takuya Ishihara , Daisuke Kurisu

I consider a class of statistical decision problems in which the policymaker must decide between two policies to maximize social welfare (e.g., the population mean of an outcome) based on a finite sample. The framework introduced in this…

Econometrics · Economics 2025-03-04 Kohei Yata

I study the problem of a decision maker choosing a policy which allocates treatment to a heterogeneous population on the basis of experimental data that includes only a subset of possible treatment values. The effects of new treatments are…

Econometrics · Economics 2025-07-17 Samuel Higbee

Consider a setup in which a decision maker is informed about the population by a finite sample and based on that sample has to decide whether or not to apply a certain treatment. We work out finite sample minimax regret treatment rules…

Econometrics · Economics 2026-01-08 Patrik Guggenberger , Nihal Mehta , Nikita Pavlov

There is increasing interest in allocating treatments based on observed individual characteristics: examples include targeted marketing, individualized credit offers, and heterogeneous pricing. Treatment personalization introduces…

Econometrics · Economics 2023-04-06 Evan Munro

This study considers treatment effect models in which others' treatment decisions can affect both one's own treatment and outcome. Focusing on the case of two-player interactions, we formulate treatment decision behavior as a complete…

Econometrics · Economics 2023-02-23 Tadao Hoshino , Takahide Yanagi

Consider a planner who has limited knowledge of the policy's causal impact on a certain local population of interest due to a lack of data, but does have access to the publicized intervention studies performed for similar policies on…

Econometrics · Economics 2024-07-04 Takuya Ishihara , Toru Kitagawa

We study the problem of a decision maker who must provide the best possible treatment recommendation based on an experiment. The desirability of the outcome distribution resulting from the policy recommendation is measured through a…

Econometrics · Economics 2022-04-06 Anders Bredahl Kock , David Preinerstorfer , Bezirgen Veliyev

In many settings, a decision-maker wishes to learn a rule, or policy, that maps from observable characteristics of an individual to an action. Examples include selecting offers, prices, advertisements, or emails to send to consumers, as…

Machine Learning · Statistics 2018-11-20 Zhengyuan Zhou , Susan Athey , Stefan Wager

This paper extends my research applying statistical decision theory to treatment choice with sample data, using maximum regret to evaluate the performance of treatment rules. The specific new contribution is to study as-if optimization…

Econometrics · Economics 2021-10-05 Charles F. Manski

This paper studies a penalized statistical decision rule for the treatment assignment problem. Consider the setting of a utilitarian policy maker who must use sample data to allocate a binary treatment to members of a population, based on…

Statistics Theory · Mathematics 2020-12-10 Eric Mbakop , Max Tabord-Meehan

Estimation and evaluation of individualized treatment rules have been studied extensively, but real-world treatment resource constraints have received limited attention in existing methods. We investigate a setting in which treatment is…

Methodology · Statistics 2022-11-24 Hongxiang Qiu , Marco Carone , Alex Luedtke

This note describes the optimal policy rule, according to the local asymptotic minimax regret criterion, for best arm identification when there are only two treatments. It is shown that the optimal sampling rule is the Neyman allocation,…

Econometrics · Economics 2022-08-29 Karun Adusumilli

This paper proposes a novel method to estimate individualised treatment assignment rules. The method is designed to find rules that are stochastic, reflecting uncertainty in estimation of an assignment rule and about its welfare…

Econometrics · Economics 2023-02-22 Toru Kitagawa , Hugo Lopez , Jeff Rowley

We derive asymptotically optimal statistical decision rules for discrete choice problems when payoffs depend on a partially-identified parameter $\theta$ and the decision maker can use a point-identified parameter $\mu$ to deduce…

Econometrics · Economics 2025-12-19 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

Consider a causal structure with endogeneity (i.e., unobserved confoundedness) in empirical data, where an instrumental variable is available. In this setting, we show that the mean social welfare function can be identified and represented…

Econometrics · Economics 2020-12-15 Yuya Sasaki , Takuya Ura

As the COVID-19 pandemic progresses, researchers are reporting findings of randomized trials comparing standard care with care augmented by experimental drugs. The trials have small sample sizes, so estimates of treatment effects are…

Econometrics · Economics 2020-06-02 Charles F. Manski , Aleksey Tetenov

Practitioners often use data from a randomized controlled trial to learn a treatment assignment policy that can be deployed on a target population. A recurring concern in doing so is that, even if the randomized trial was well-executed…

Econometrics · Economics 2023-04-25 Lihua Lei , Roshni Sahoo , Stefan Wager

We consider the problem of selecting the optimal subgroup to treat when data on covariates is available from a randomized trial or observational study. We distinguish between four different settings including (i) treatment selection when…

Methodology · Statistics 2018-02-28 Tyler J. VanderWeele , Alex R. Luedtke , Mark J. van der Laan , Ronald C. Kessler
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