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Paper · arXiv

Linear Strategic Classification with Endogenous Improvements

Classical models of strategic classification treat agents' responses to a deployed classifier as cosmetic: features change, but true labels do not. We study an improvement-aware variant in which strategic responses can change outcomes: agents choose post-deployment features strategically at a cost, and labels are then drawn from a fixed conditional outcome law. We formalize this problem for linear classifiers under a single-index qualification model and linear-decomposable costs. Under these assumptions, agents' best responses reduce to a closed-form shift of the decision boundary, and the resulting improvement-aware classification problem is learnable with linear sample complexity. As po...

AuthorsSiddharth Shrivastava, Mahvith Akshintala, B Vamsha Vardhan Reddy et al.
Primary categorycs.LG
Published31 May 2026
Last updated at source15 October 2026
cs.LG
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