How Do Classifiers Induce Agents To Invest Effort Strategically?
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Abstract (arXiv)
Algorithms are often used to produce decision-making rules that classify or evaluate individuals. When these individuals have incentives to be classified a certain way, they may behave strategically to influence their outcomes. We develop a model for how strategic agents can invest effort in order to change the outcomes they receive, and we give a tight characterization of when such agents can be incentivized to invest specified forms of effort into improving their outcomes as opposed to "gaming" the classifier. We show that whenever any "reasonable" mechanism can do so, a simple linear mechanism suffices.
Key facts. Cited by 82 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Jul 2018.
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Citing papers per year: 2021: 12; 2022: 11; 2023: 20; 2024: 13; 2025: 13; 2026: 13.
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- 2021How to Learn when Data Reacts to Your Model: Performative Gradient Descentcited by 70
- 2021Strategic Classification in the Darkcited by 66
- 2021Strategic Classification Made Practicalcited by 58
- 2021Who Leads and Who Follows in Strategic Classification?cited by 53
- 2021Information Discrepancy in Strategic Learningcited by 48
- 2021Alternative Microfoundations for Strategic Classificationcited by 47
- 2022Performative Powercited by 42
- 2022Modeling Content Creator Incentives on Algorithm-Curated Platformscited by 35
- 2022Supply-Side Equilibria in Recommender Systemscited by 33
- 2021Stateful Strategic Regressioncited by 32
- 2021Strategic Instrumental Variable Regression: Recovering Causal Relationships From Strategic Responsescited by 32
- 2023Causal Strategic Classification: A Tale of Two Shiftscited by 30
38 more
- 2022On classification of strategic agents who can both game and improvecited by 27
- 2023Strategic Classification under Unknown Personalized Manipulationcited by 23
- 2024Contracting with a Learning Agentcited by 22
- 2021Strategic Rankingcited by 21
- 2023Plug-in Performative Optimizationcited by 20
- 2022What-is and How-to for Fairness in Machine Learning: A Survey, Reflection, and Perspectivecited by 18
- 2023Fundamental Bounds on Online Strategic Classificationcited by 17
- 2021Bayesian Persuasion for Algorithmic Recoursecited by 14
- 2023Performative Federated Learning: A Solution to Model-Dependent and Heterogeneous Distribution Shiftscited by 14
- 2024Clickbait vs. Quality: How Engagement-Based Optimization Shapes the Content Landscape in Online Platformscited by 13
- 2023A Classification of Feedback Loops and Their Relation to Biases in Automated Decision-Making Systemscited by 12
- 2023Auditing for Human Expertisecited by 12
- 2024Non-linear Welfare-Aware Strategic Learningcited by 12
- 2023Performative Prediction with Bandit Feedback: Learning through Reparameterizationcited by 11
- 2024Accounting for AI and Users Shaping One Another: The Role of Mathematical Modelscited by 11
- 2024Addressing Polarization and Unfairness in Performative Predictioncited by 11
- 2023Strategic Apple Tastingcited by 10
- 2023Delegated Classificationcited by 10
- 2023Deep Contract Design via Discontinuous Networkscited by 10
- 2021Model Transferability With Responsive Decision Subjectscited by 9
- 2023GAM Coach: Towards Interactive and User-centered Algorithmic Recoursecited by 9
- 2023On the Actionability of Outcome Predictioncited by 9
- 2024Automating Data Annotation under Strategic Human Agents: Risks and Potential Solutionscited by 9
- 2022Addressing Strategic Manipulation Disparities in Fair Classificationcited by 8
- 2023Sequential Strategic Screeningcited by 8
- 2024Learning under Imitative Strategic Behavior with Unforeseeable Outcomescited by 8
- 2024Strategic Littlestone Dimension: Improved Bounds on Online Strategic Classificationcited by 8
- 2025Incentivizing Desirable Effort Profiles in Strategic Classification: The Role of Causality and Uncertaintycited by 8
- 2025Performative Validity of Recourse Explanationscited by 8
- 2022Setting Fair Incentives to Maximize Improvementcited by 7
- 2023Choosing the Right Weights: Balancing Value, Strategy, and Noise in Recommender Systemscited by 7
- 2024Algorithmic Decision-Making under Agents with Persistent Improvementcited by 7
- 2024Strategic Classification With Externalitiescited by 7
- 2025PAC Learning with Improvementscited by 6
- 2022Strategyproof Decision-Making in Panel Data Settings and Beyondcited by 4
- 2023Prediction without Preclusion: Recourse Verification with Reachable Setscited by 4
- 2025How Strategic Agents Respond: Comparing Analytical Models with LLM-Generated Responses in Strategic Classificationcited by 4
- 2022Margin-distancing for safe model explanationcited by 3
50 most cited of 82 All 82 (JSON)
- 2026When Does Randomized Oversight Align AI Agents That Can Conceal?29 Sep 2026
- 2026Mechanism Design for Generative Engines: From Exploitation toward Win-Win Outcomes11 Aug 2026
- 2026The Role of Causality in Algorithmic Recourse30 Jul 2026
- 2026Hitting a Moving Target: Test-Time Adaptation for AI Text Detection under Continual Distribution Shift23 Jun 2026
- 2026Linear Strategic Classification with Endogenous Improvements31 May 2026
- 2026The Role of Causal Features in Strategic Classification for Robustness and Alignment26 May 2026
- 2026Beyond Rational Illusion: Behaviorally Realistic Strategic Classification19 May 2026
- 2026Prediction-Intervention Games and Invariant Sets16 May 2026
- 2026Price of Fairness in Short-Term and Long-Term Algorithmic Selections7 May 2026
- 2026Leaderboard Incentives: Model Rankings under Strategic Post-Training9 Mar 2026
- 2026Power and Limitations of Aggregation in Compound AI Systems25 Feb 2026
- 2026Online Learning with Improving Agents: Multiclass, Budgeted Agents and Bandit Learners19 Feb 2026
38 more
- 2026Multi-Level Strategic Classification: Incentivizing Improvement through Promotion and Relegation Dynamics11 Feb 2026
- 2025When In Doubt, Abstain: The Impact of Abstention on Strategic Classification15 Oct 2025
- 2025Collective dynamics of strategic classification12 Aug 2025
- 2025Strategic Filtering for Content Moderation: Free Speech or Free of Distortion?26 Jul 2025
- 2025Performative Validity of Recourse Explanations18 Jun 2025
- 2025Conservative classifiers do consistently well with improving agents: characterizing statistical and online learning5 Jun 2025
- 2025The Disparate Effects of Partial Information in Bayesian Strategic Learning31 May 2025
- 2025Anticipating Gaming to Incentivize Improvement: Guiding Agents in (Fair) Strategic Classification8 May 2025
- 2025PAC Learning with Improvements5 Mar 2025
- 2025Understanding Fixed Predictions via Confined Regions22 Feb 2025
- 2025Welfare as a Guiding Principle for Machine Learning -- From Compass, to Lens, to Roadmap17 Feb 2025
- 2025Incentivizing Desirable Effort Profiles in Strategic Classification: The Role of Causality and Uncertainty10 Feb 2025
- 2025Explanation Design in Strategic Learning: Sufficient Explanations that Induce Non-harmful Responses6 Feb 2025
- 2025How Strategic Agents Respond: Comparing Analytical Models with LLM-Generated Responses in Strategic Classification20 Jan 2025
- 2024Practical Performative Policy Learning with Strategic Agents2 Dec 2024
- 2024Strategic Classification With Externalities10 Oct 2024
- 2024Score Design for Multi-Criteria Incentivization8 Oct 2024
- 2024Strategic Littlestone Dimension: Improved Bounds on Online Strategic Classification16 Jul 2024
- 2024Addressing Polarization and Unfairness in Performative Prediction24 Jun 2024
- 2024Automating Data Annotation under Strategic Human Agents: Risks and Potential Solutions12 May 2024
- 2024Non-linear Welfare-Aware Strategic Learning3 May 2024
- 2024Algorithmic Decision-Making under Agents with Persistent Improvement3 May 2024
- 2024Learning under Imitative Strategic Behavior with Unforeseeable Outcomes3 May 2024
- 2024Accounting for AI and Users Shaping One Another: The Role of Mathematical Models18 Apr 2024
- 2024Strategic Usage in a Multi-Learner Setting29 Jan 2024
- 2024Contracting with a Learning Agent29 Jan 2024
- 2024Clickbait vs. Quality: How Engagement-Based Optimization Shapes the Content Landscape in Online Platforms18 Jan 2024
- 2023Interventions Against Machine-Assisted Statistical Discrimination6 Oct 2023
- 2023Strategic Evaluation: Subjects, Evaluators, and Society5 Oct 2023
- 2023On the Actionability of Outcome Prediction8 Sep 2023
- 2023Prediction without Preclusion: Recourse Verification with Reachable Sets24 Aug 2023
- 2023Deep Contract Design via Discontinuous Networks5 Jul 2023
- 2023Delegated Classification20 Jun 2023
- 2023Strategic Apple Tasting9 Jun 2023
- 2023Auditing for Human Expertise2 Jun 2023
- 2023Plug-in Performative Optimization30 May 2023
- 2023Choosing the Right Weights: Balancing Value, Strategy, and Noise in Recommender Systems27 May 2023
- 2023Strategic Classification under Unknown Personalized Manipulation25 May 2023
50 newest of 82 All 82 (JSON)
- 2021How to Learn when Data Reacts to Your Model: Performative Gradient Descentcited by 70
- 2021Strategic Classification in the Darkcited by 66
- 2021Strategic Classification Made Practicalcited by 58
- 2021Who Leads and Who Follows in Strategic Classification?cited by 53
- 2021Information Discrepancy in Strategic Learningcited by 48
- 2021Alternative Microfoundations for Strategic Classificationcited by 47
- 2022Performative Powercited by 42
- 2022Modeling Content Creator Incentives on Algorithm-Curated Platformscited by 35
- 2022Supply-Side Equilibria in Recommender Systemscited by 33
- 2021Stateful Strategic Regressioncited by 32
- 2021Strategic Instrumental Variable Regression: Recovering Causal Relationships From Strategic Responsescited by 32
- 2023Causal Strategic Classification: A Tale of Two Shiftscited by 30
12 most cited of 81 All 81 (JSON)
- 2026When Does Randomized Oversight Align AI Agents That Can Conceal?29 Sep 2026
- 2026Mechanism Design for Generative Engines: From Exploitation toward Win-Win Outcomes11 Aug 2026
- 2026The Role of Causality in Algorithmic Recourse30 Jul 2026
- 2026Hitting a Moving Target: Test-Time Adaptation for AI Text Detection under Continual Distribution Shift23 Jun 2026
- 2026Linear Strategic Classification with Endogenous Improvements31 May 2026
- 2026The Role of Causal Features in Strategic Classification for Robustness and Alignment26 May 2026
- 2026Beyond Rational Illusion: Behaviorally Realistic Strategic Classification19 May 2026
- 2026Prediction-Intervention Games and Invariant Sets16 May 2026
- 2026Price of Fairness in Short-Term and Long-Term Algorithmic Selections7 May 2026
- 2026Leaderboard Incentives: Model Rankings under Strategic Post-Training9 Mar 2026
- 2026Power and Limitations of Aggregation in Compound AI Systems25 Feb 2026
- 2026Online Learning with Improving Agents: Multiclass, Budgeted Agents and Bandit Learners19 Feb 2026
12 newest of 81 All 81 (JSON)