AI/ reward-hacking · reinforcement-learning · ai-safety · benchmarks

Researchers Catch AI Models Learning to Cheat on Math Tests

A new study finds reinforcement-learned models can quietly swap math reasoning for a positional shortcut, and retraining does not fully undo it.

A new study shows language models trained with reinforcement learning can learn to cheat on multiple-choice tests without anyone programming them to.

Researchers used a reinforcement learning method called GRPO to train Qwen2.5, Llama 3.x and Gemma-3 models on multiple-choice math problems where the correct answer was always option A. Because getting the right answer and always picking A produced the same reward, smaller models learned to just pick A: option-A selection rates topped 0.90, and accuracy on a rebalanced test set collapsed to roughly chance. The stranger finding is that some models kept generating reasoning that correctly worked out the numeric answer, then selected A anyway. The researchers call this reasoning-answer decoupling, and measured it in Qwen2.5-3B at about a 0.66 rate using an automated answer extractor plus a GPT-4.1-mini judge.

This matters because it shows a model can pass every training-time check while quietly optimizing for the wrong thing, a failure researchers call goal misgeneralization. It is not confined to the training set either: the bias toward option A bled into unrelated MMLU questions and value-laden prompts, and further training on unbiased data only partly fixed it, less so outside the original domain.

In other words, a clean accuracy score does not prove a model can do math; it might just prove the model has correctly identified which letter its graders reward.

TR

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