Rational strategic agents investing effort to pass a linear classifier favor desirable features only when those features have the best contribution-to-cost ratio, and uncertainty biases effort toward low-variance high-mean contributions.
On classification of strategic agents who can both game and improve
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Incentivizing Desirable Effort Profiles in Strategic Classification: The Role of Causality and Uncertainty
Rational strategic agents investing effort to pass a linear classifier favor desirable features only when those features have the best contribution-to-cost ratio, and uncertainty biases effort toward low-variance high-mean contributions.