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The unit selection problem aims to identify a set of individuals who are most likely to exhibit a desired mode of behavior, for example, selecting individuals who would respond one way if encouraged and a different way if not encouraged.…

Artificial Intelligence · Computer Science 2022-08-23 Ang Li , Judea Pearl

While the importance of personalized policymaking is widely recognized, fully personalized implementation remains rare in practice, often due to legal, fairness or cost concerns. We study the problem of policy targeting for a regret-averse…

Econometrics · Economics 2026-04-07 Toru Kitagawa , Sokbae Lee , Chen Qiu

This paper studies sample-size design for finite-population test-and-roll experiments, where a decision-maker first conducts an experiment on $m$ units and then assigns the remaining $N-m$ units to the treatment that performs better in the…

Econometrics · Economics 2026-05-05 Kentaro Kawato , Shosei Sakaguchi

In consequential domains, it is often impossible to compel individuals to take treatment, so that optimal policy rules are merely suggestions in the presence of human non-adherence to treatment recommendations. We study personalized…

Machine Learning · Computer Science 2026-04-24 Angela Zhou

The beneficial effects of treatments vary across individuals in most studies. Treatment heterogeneity motivates practitioners to search for the optimal policy based on personal characteristics. A long-standing common practice in policy…

Statistics Theory · Mathematics 2025-01-06 Xuqiao Li , Ying Yan

We consider a multi-armed bandit problem with covariates. Given a realization of the covariate vector, instead of targeting the treatment with highest conditional expectation, the decision maker targets the treatment which maximizes a…

Machine Learning · Statistics 2024-12-25 Anders Bredahl Kock , David Preinerstorfer , Bezirgen Veliyev

In the Submodular Welfare Maximization (SWM) problem, the input consists of a set of $n$ items, each of which must be allocated to one of $m$ agents. Each agent $\ell$ has a valuation function $v_\ell$, where $v_\ell(S)$ denotes the welfare…

Data Structures and Algorithms · Computer Science 2017-12-18 Nitish Korula , Vahab Mirrokni , Morteza Zadimoghaddam

Empirical research shows that individuals' responses to treatments vary along latent characteristics, such as innate ability or motivation. Therefore, a policymaker seeking to maximize welfare may consider designing policies based on…

Econometrics · Economics 2026-05-06 Giacomo Opocher

Individualized treatment rules aim to identify if, when, which, and to whom treatment should be applied. A globally aging population, rising healthcare costs, and increased access to patient-level data have created an urgent need for…

Methodology · Statistics 2019-01-04 Ying-Qi Zhao , Eric B. Laber , Yang Ning , Sumona Saha , Bruce Sands

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

We study the design of multi-armed parallel group clinical trials to estimate personalized treatment rules that identify the best treatment for a given patient with given covariates. Assuming that the outcomes in each treatment arm are…

Statistics Theory · Mathematics 2022-07-13 David Azriel , Yosef Rinott , Martin Posch

This article investigates unsupervised classification techniques for categorical multivariate data. The study employs multivariate multinomial mixture modeling, which is a type of model particularly applicable to multilocus genotypic data.…

Statistics Theory · Mathematics 2014-03-11 Dominique Bontemps , Wilson Toussile

Motivated by applications such as college admission and insurance rate determination, we propose an evaluation problem where the inputs are controlled by strategic individuals who can modify their features at a cost. A learner can only…

Computer Science and Game Theory · Computer Science 2020-11-05 Nika Haghtalab , Nicole Immorlica , Brendan Lucier , Jack Z. Wang

Machine learning is increasingly used to select which individuals receive limited-resource interventions in domains such as human services, education, development, and more. However, it is often not apparent what the right quantity is for…

Machine Learning · Computer Science 2025-03-20 Vibhhu Sharma , Bryan Wilder

The literature focuses on the mean of welfare regret, which can lead to undesirable treatment choice due to sensitivity to sampling uncertainty. We propose to minimize the mean of a nonlinear transformation of regret and show that singleton…

Econometrics · Economics 2024-10-03 Toru Kitagawa , Sokbae Lee , Chen Qiu

In treatment allocation problems the individuals to be treated often arrive sequentially. We study a problem in which the policy maker is not only interested in the expected cumulative welfare but is also concerned about the…

Machine Learning · Statistics 2018-08-24 Anders Bredahl Kock , Martin Thyrsgaard

I propose a framework for learning individualized policy rules in observational data settings characterized by endogenous treatment selection and the availability of an instrumental variable. I introduce encouragement rules that manipulate…

Econometrics · Economics 2026-01-21 Yan Liu

Consider a setting in which a policy maker assigns subjects to treatments, observing each outcome before the next subject arrives. Initially, it is unknown which treatment is best, but the sequential nature of the problem permits learning…

Econometrics · Economics 2020-08-13 Anders Bredahl Kock , David Preinerstorfer , Bezirgen Veliyev

Many policy problems involve designing individualized treatment allocation rules to maximize the equilibrium social welfare of interacting agents. Focusing on large-scale simultaneous decision games with strategic complementarities, we…

Econometrics · Economics 2024-11-12 Guanyi Wang

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