Regularizing Fairness in Optimal Policy Learning with Distributional Targets

Fuente: arXiv
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Autori principali: Kock, Anders Bredahl, Preinerstorfer, David
Natura: Preprint
Pubblicazione: 2024
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author Kock, Anders Bredahl
Preinerstorfer, David
author_facet Kock, Anders Bredahl
Preinerstorfer, David
contents A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some target functional. Nevertheless, a fairness-aware decision maker may not be satisfied achieving said optimality at the cost of being ``unfair" against a subgroup of the population, in the sense that the outcome distribution in that subgroup deviates too strongly from the overall optimal outcome distribution. We study a framework that allows the decision maker to regularize such deviations, while allowing for a wide range of target functionals and fairness measures to be employed. We establish regret and consistency guarantees for empirical success policies with (possibly) data-driven preference parameters, and provide numerical results. Furthermore, we briefly illustrate the methods in two empirical settings.
format Preprint
id arxiv_https___arxiv_org_abs_2401_17909
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Regularizing Fairness in Optimal Policy Learning with Distributional Targets
Kock, Anders Bredahl
Preinerstorfer, David
Econometrics
Statistics Theory
A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some target functional. Nevertheless, a fairness-aware decision maker may not be satisfied achieving said optimality at the cost of being ``unfair" against a subgroup of the population, in the sense that the outcome distribution in that subgroup deviates too strongly from the overall optimal outcome distribution. We study a framework that allows the decision maker to regularize such deviations, while allowing for a wide range of target functionals and fairness measures to be employed. We establish regret and consistency guarantees for empirical success policies with (possibly) data-driven preference parameters, and provide numerical results. Furthermore, we briefly illustrate the methods in two empirical settings.
title Regularizing Fairness in Optimal Policy Learning with Distributional Targets
topic Econometrics
Statistics Theory
url https://arxiv.org/abs/2401.17909