Pre-Trained LLM Agents' No-Regret Behavior in Online Learning and Games
Core Concepts
Pre-trained LLM agents exhibit no-regret behavior in online learning and games, outperforming standard algorithms.
Abstract
The content discusses the performance of pre-trained Large Language Models (LLMs) in decision-making scenarios. It explores their interactions in online learning and game theory, focusing on the metric of regret. The study evaluates the no-regret behaviors of LLMs in changing environments, strategic interactions, and repeated games. Various experiments are conducted to validate the sublinear regret achieved by pre-trained LLMs compared to traditional algorithms like FTRL and FTPL.
Abstract:
Large language models (LLMs) used for decision-making.
Study on regret metric in online learning and game theory.
Evaluation of no-regret behaviors of LLMs in different scenarios.
Introduction:
LLMs as central controllers for decision-making.
Successes of LLM agents in various applications.
Strategic interactions among multiple LLM agents.
Framework for No-Regret Behavior Validation:
Trend-checking framework proposed for hypothesis testing.
Regression-based framework for fitting data with regression.
Results: Online Learning:
Performance evaluation of pre-trained LLMs in changing environments.
Sublinear dynamic regret achieved by GPT-4 compared to FTRL/FTPL with Restart.
Extension to bandit-feedback settings showing lower regret by GPT-4.
Results: Multi-Player Repeated Games:
Testing repeated play of pre-trained LLMs on representative games.
Validation of sublinear regret by GPT-4 in randomly generated games.
Do LLM Agents Have Regret? A Case Study in Online Learning and Games
Stats
LLMs have demonstrated impressive reasoning capabilities (Bubeck et al., 2023; Achiam et al., 2023).
GPT models achieve sublinear dynamic regret compared to traditional algorithms like FTRL/FTPL with Restart.
GPT models consistently achieve lower regret than EXP3 and bandit-version FTPL/FTRL algorithms.
Quotes
"Tranformer-based LLMs have demonstrated impressive few-shot learning capabilities." - Aky¨urek et al., 2023
"Pre-trained Transformers can implement gradient descent algorithm on testing loss." - Zhang et al., 2023a