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Evolutionary Prediction Games

NeurIPS 2025 · Learning theory and algorithms › Submodular and game algorithms · approach: Opponent modeling and subgame solving · 0 citations (OpenAlex)

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Introduces evolutionary prediction games, modeling retrained classifiers and user-group self-selection as population games, showing competitive exclusion under oracle learners and stable mutualistic coexistence under finite data, surrogate losses, and label noise.

Problem

Feedback loops between repeatedly retrained prediction models and user populations: how learning shapes which user groups survive, dominate, or coexist over time.

Approach

Models each group's fitness as its marginal accuracy under a classifier trained on the current population mixture, yielding a population game analyzed with evolutionary game theory and potential-game structure; shows oracle retraining drives competitive exclusion, while realistic learning (surrogate losses, finite data, interpolation, label noise) can stabilize mutualistic coexistence; also propos

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply dynamics-aware stabilization to the CIFAR-10 mixed equilibriumResNet-9 on CIFAR-10 with original and horizontally flipped images · CIFAR-10accuracy: 92.6 \pm 0.1\% -> 93.5 \pm 0.1\%Helped
Introduce complementary label noise across the two groupsConvolutional neural network on MNIST · MNISTtest accuracyHelped
Allow the population to evolve under linear-SVM fitnessLinear SVM on ACSIncome groups from CA, NY, and TX · ACSIncomeaccuracy disparity: \approx2\% -> \approx 0.2\%Mixed
Repeatedly retrain an oracle classifier on the current population mixtureEvolutionary prediction game · Theoretical analysispopulation coexistenceHurt
Use hinge loss with ℓ2 regularization instead of oracle 0-1-loss learningEvolutionary prediction game · Theoretical constructionpopulation coexistenceHelped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 MNIST Folktables ACSIncome

Benchmarks: CIFAR-10 MNIST ACSIncome

Metrics: group accuracy population accuracy fitness population proportion over time

Baselines: standard retraining (oracle classifier) ERM with hinge loss linear SVM

Builds on: performative prediction replicator dynamics stateful performative prediction potential games

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