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Main Authors: Chen, Yan, Tan, Zheng, Blanchet, Jose, Qin, Hanzhang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.11678
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author Chen, Yan
Tan, Zheng
Blanchet, Jose
Qin, Hanzhang
author_facet Chen, Yan
Tan, Zheng
Blanchet, Jose
Qin, Hanzhang
contents Ensuring fairness in data driven decision making has become a central concern across domains such as marketing, lending, and healthcare, but fairness constraints often come at the cost of utility. We propose a statistical hypothesis testing framework that jointly evaluates approximate fairness and utility, relaxing strict fairness requirements while ensuring that overall utility remains above a specified threshold. Our framework builds on the strong demographic parity (SDP) criterion and incorporates a utility measure motivated by the potential outcomes framework. The test statistic is constructed via Wasserstein projections, enabling auditors to assess whether observed fairness-utility tradeoffs are intrinsic to the algorithm or attributable to randomness in the data. We show that the test is computationally tractable, interpretable, broadly applicable across machine learning models, and extendable to more general settings. We apply our approach to multiple real-world datasets, offering new insights into the fairness-utility tradeoff through the perspective of statistical hypothesis testing.
format Preprint
id arxiv_https___arxiv_org_abs_2505_11678
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Testing Fairness with Utility Tradeoffs: A Wasserstein Projection Approach
Chen, Yan
Tan, Zheng
Blanchet, Jose
Qin, Hanzhang
Computers and Society
Ensuring fairness in data driven decision making has become a central concern across domains such as marketing, lending, and healthcare, but fairness constraints often come at the cost of utility. We propose a statistical hypothesis testing framework that jointly evaluates approximate fairness and utility, relaxing strict fairness requirements while ensuring that overall utility remains above a specified threshold. Our framework builds on the strong demographic parity (SDP) criterion and incorporates a utility measure motivated by the potential outcomes framework. The test statistic is constructed via Wasserstein projections, enabling auditors to assess whether observed fairness-utility tradeoffs are intrinsic to the algorithm or attributable to randomness in the data. We show that the test is computationally tractable, interpretable, broadly applicable across machine learning models, and extendable to more general settings. We apply our approach to multiple real-world datasets, offering new insights into the fairness-utility tradeoff through the perspective of statistical hypothesis testing.
title Testing Fairness with Utility Tradeoffs: A Wasserstein Projection Approach
topic Computers and Society
url https://arxiv.org/abs/2505.11678