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In-Context Learning Agents Are Asymmetric Belief Updaters
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Shows that LLMs (Claude v1.3) and meta-RL-trained transformer agents update beliefs asymmetrically in two-alternative forced choice tasks: optimism bias for chosen options, reversed for counterfactual unchosen feedback, and absent without agency.
Problem
How in-context learning in LLMs updates beliefs from outcomes, and whether the asymmetric (optimism-type) belief updating seen in humans also appears in LLMs and idealized in-context learners, depending on problem framing and agency.
Approach
Applies cognitive-science analysis (Rescorla-Wagner with separate positive/negative learning rates, fitted via MAP and compared with BIC/posterior probability) to the choice behavior of an LLM in 2AFC tasks, and replicates the patterns in meta-RL-trained transformer agents to test whether asymmetric updating is rational.
Key results
- In partial feedback, LLM learning rates were alpha+ = 0.87 and alpha- = 0.10 (RW± preferred, PP 0.93), an optimism bias.
- In full feedback, the chosen option showed optimism while the unchosen option showed pessimism; a 2-learning-rate confirmation model fit better (PP 0.92).
- Without agency (forced-choice trials), updates were symmetric (3α model PP 0.77), while free-choice updates were asymmetric (alpha+ = 0.35 vs alpha- = 0.08).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Update from positive versus negative prediction errors in the default partial-feedback task | Claude v1.3 · 2AFC partial feedback | prediction-error learning rate: $\alpha^+ = 0.87 \pm 0.01, \alpha^- = 0.10 \pm 0.04$ | Mixed |
| Reveal outcomes for the unchosen option | Claude v1.3 · 2AFC full feedback | final regret: $0.07 \pm 0.01$ -> $0.02 \pm 0.01$ | Helped |
| Use the confirmatory 2α model instead of the four-rate full-feedback model (ablation) | Claude v1.3 belief-update analysis · 2AFC full feedback | posterior probability: $0.92 \pm 0.03$ | Helped |
| Add forced-choice observations made by someone else | Claude v1.3 · 2AFC agency condition | regret: $0.07 \pm 0.2$ to $0.02 \pm 0.01$ | Helped |
| Separate positive and negative learning rates for forced-choice trials (ablation) | Claude v1.3 4α versus 3α model · 2AFC agency condition | model posterior probability: $\text{PP}_{3\alpha} = 0.77 \pm 0.06$ | Hurt |
| Learn from positive versus negative prediction errors in free-choice trials, while updating symmetrically in forced-choice trials | Claude v1.3 · 2AFC agency condition | prediction-error learning rate: $\alpha^{+} = 0.35 \pm 0.06$; $\alpha^{-} = 0.08 \pm 0.01$ | Mixed |
| Train a transformer agent with Meta-RL rather than use the LLM | 2AFC task suite · 2AFC tasks | regret | Helped |
Surprising findings
- The LLM's asymmetric updating reverses for counterfactual (unchosen) feedback, showing a pessimism-like pattern for unchosen options.
- The asymmetry disappears when the outcome is observed for another agent's forced choice rather than the model's own choice.
Limitations
- Single LLM (Claude v1.3) evaluated, limiting generality.
- Causal link between fitted learning rates and the underlying mechanism is unclear; alternative auxiliary processes possible.
- Highly controlled synthetic bandit settings limit external validity.
Experimental setup
Datasets: human data from prior studies (reproduced) simulated LLM behavior on 2AFC tasks simulated meta-RL agent behavior
Benchmarks: 2AFC partial feedback task 2AFC full feedback task 2AFC agency (mixed-choice) task
Metrics: regret learning rates (alpha+, alpha-) posterior probability from BIC model comparison
Baselines: Rescorla-Wagner model human participants
Builds on: Rescorla-Wagner model RW± model meta-reinforcement learning actor-critic
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