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Decision-Making Behavior Evaluation Framework for LLMs under Uncertain Context
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Evaluates risk preference, probability weighting, and loss aversion of ChatGPT-4-Turbo, Claude-3-Opus, and Gemini-1.0-pro using multiple-choice-list lottery experiments fitted with the TCN value-function model, then tests how embedded socio-demographic personas shift these parameters.
Problem
Whether LLM decision-making under uncertainty aligns with human behavioral-economics patterns (risk preference, probability weighting, loss aversion) and how socio-demographic persona embedding introduces biases.
Approach
Adapts the Tanaka-Camerer-Nguyen (TCN) prospect-theory-style utility model and revealed-preference switching-point estimation from human experiments to treat LLMs as respondents in lottery choice lists, then regresses the estimated parameters on demographic personas.
Key results
- All three LLMs show risk-averse behavior on average (sigma means: ChatGPT 0.60, Claude 0.31, Gemini 0.50), compared with a human sample mean of 0.48.
- Claude-3-Opus has the highest loss aversion (lambda mean 6.32) versus ChatGPT 1.48 and Gemini 2.33, with human sample 3.47.
- Embedding demographic personas significantly shifts parameters, e.g., Claude shows higher risk aversion for homosexual, bisexual, and asexual personas (coefficients around 0.044-0.057, p<0.001).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Embed demographic features in the lottery-game prompts | ChatGPT-4-Turbo · Decision-making under uncertainty | σ (risk preference): 0.6031 -> 0.2615; 0.2361 | Mixed |
| Embed demographic features in the lottery-game prompts | ChatGPT-4-Turbo · Decision-making under uncertainty | λ (loss aversion): 1.4786 -> 1.4647; 1.5179 | No clear effect |
| Embed demographic features in the lottery-game prompts | ChatGPT-4-Turbo · Decision-making under uncertainty | α (probability weighting): 1.1819 -> 0.8549; 0.8547 | Helped |
| Embed demographic features in the lottery-game prompts | Claude-3-Opus · Decision-making under uncertainty | λ (loss aversion): 6.3160 -> 2.6017; 2.1665 | Helped |
| Embed demographic features in the lottery-game prompts | Gemini-1.0-pro · Decision-making under uncertainty | σ (risk preference): 0.4959 -> 0.7502; 0.7561 | Hurt |
| Embed demographic features in the lottery-game prompts | Gemini-1.0-pro · Decision-making under uncertainty | λ (loss aversion): 2.3333 -> 2.7232; 2.9430 | Mixed |
| Embed demographic features in the lottery-game prompts | Gemini-1.0-pro · Decision-making under uncertainty | α (probability weighting): 0.8759 -> 1.2177; 1.2022 | Mixed |
| Specify a female demographic persona | ChatGPT-4-Turbo · Foundational demographic features | σ (risk preference): -.0366* | Helped |
| Specify a female demographic persona | Claude-3-Opus · Foundational demographic features | α (probability weighting): -.0249* | Mixed |
| Specify an age under 25 persona | Claude-3-Opus · Foundational demographic features | α (probability weighting): -.0341* | Mixed |
| Specify an age under 25 persona | Gemini-1.0-pro · Foundational demographic features | λ (loss aversion): .5180* | Mixed |
| Specify a rural living persona | Claude-3-Opus · Foundational demographic features | α (probability weighting): -.0251* | Mixed |
Surprising findings
- ChatGPT-4-Turbo's probability weighting alpha exceeds 1 (mean 1.18), diverging from the typical human overweighting of small probabilities.
- Claude-3-Opus's risk aversion increases for sexual minority and disability personas, contrary to the finding in some human studies of no significant differences.
Limitations
- Limited to three commercial LLMs and a financial lottery domain; authors recommend exploring other domains and models.
- Direct comparison with human subjects is difficult due to sensitivity of demographic features.
- Responses are sampled as repeated queries of a single session design, and the parameter estimation relies on midpoint interval estimates.
Experimental setup
Datasets: World Bank country demographic statistics
Benchmarks: Multiple-choice-list lottery experiments (3 series, 35 rows)
Metrics: risk preference sigma probability weighting alpha loss aversion lambda OLS regression coefficients
Baselines: Human sample estimates from prior behavioral economics studies
Builds on: Prospect Theory Expected Utility Theory TCN model (Tanaka, Camerer, Nguyen) Generalized Axiom of Revealed Preference
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