Preprint
Large Language Models

Discovering Multi-Agent Learning Algorithms with LLMs

Zun Li, John Schultz, Daniel Hennes, Marc Lanctot
February 18, 2026arXiv.org2 citations

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arXiv.org

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2026

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Abstract

Much of the advancement in Multi-Agent Reinforcement Learning (MARL) for imperfect-information games has historically depended on the manual, iterative refinement of algorithmic baselines. Recently, evolutionary coding agents powered by Large Language Models (LLMs) have emerged as powerful tools to automate this discovery process. In this work, we deploy one of such agentic frameworks, AlphaEvolve, to navigate the design spaces of two distinct game-theoretic paradigms: counterfactual regret minimization (CFR) and policy-space response oracles (PSRO). This automated search yielded two algorithms: Volatility-Adaptive Discounted (VAD-) CFR and Smoothed Hybrid Optimistic Regret (SHOR-) PSRO, which are consistently competitive with state-of-the-art human-designed baselines across an 18-game evaluation suite spanning Poker, Goofspiel, Liar's Dice, Blotto, and Battleship variants. However, because the LLM optimizes for fitness on a specific training set, it often constructs highly synergistic, complex mechanisms tailored to those environments. Through systematic ablation studies, we demonstrate that while these mechanisms are tightly coupled, the true driver of generalization lies in a minimal algorithmic core. By distilling the LLM's discoveries down to their most fundamental principles, we produce two minimal solvers: Warm-started Optimistic Predictive (WOP-)CFR and Projection Matching (PM-)PSRO. These distilled versions achieve superior performance on generalization with greatly reduced structural complexity, providing a clear methodology for using LLMs in algorithmic discovery.

Analysis

Why This Paper Matters

This paper addresses a critical bottleneck in Multi-Agent Reinforcement Learning (MARL): the slow, manual process of designing algorithms for imperfect-information games. By leveraging Large Language Models (LLMs) within an evolutionary framework (AlphaEvolve), the authors automate the discovery of new algorithms, significantly accelerating the research cycle. This is particularly important as MARL continues to tackle complex real-world problems where human intuition may be insufficient.

The paper also highlights a key challenge in LLM-driven discovery: overfitting to training environments. The discovered algorithms are complex and tightly coupled to the specific games used for fitness evaluation. However, the authors' systematic ablation studies reveal that a minimal algorithmic core drives generalization. This insight is crucial for the broader AI community, as it suggests that LLM-generated solutions can be distilled into simpler, more robust principles, making them more practical and interpretable.

Technical Contributions

  • AlphaEvolve Deployment: The paper demonstrates the successful application of an LLM-based evolutionary coding agent to navigate the design spaces of CFR and PSRO, two foundational paradigms in game theory.
  • New Algorithms: Introduces VAD-CFR (Volatility-Adaptive Discounted CFR) and SHOR-PSRO (Smoothed Hybrid Optimistic Regret PSRO), which are competitive with state-of-the-art human-designed baselines.
  • Distillation Methodology: Through ablation studies, the authors identify the minimal algorithmic components necessary for generalization, resulting in WOP-CFR (Warm-started Optimistic Predictive CFR) and PM-PSRO (Projection Matching PSRO). These distilled versions are simpler and perform better on generalization.
  • Evaluation Suite: The algorithms are tested on an 18-game suite spanning Poker, Goofspiel, Liar's Dice, Blotto, and Battleship variants, providing a robust benchmark for comparison.

Results

The paper reports that VAD-CFR and SHOR-PSRO are "consistently competitive" with human-designed baselines across the 18-game suite. More importantly, the distilled versions, WOP-CFR and PM-PSRO, achieve "superior performance on generalization" while having "greatly reduced structural complexity." This suggests that the distillation process not only simplifies the algorithms but also improves their ability to generalize to unseen games, a key goal in MARL.

Significance

This work has significant implications for the field of AI. It provides a blueprint for using LLMs in algorithmic discovery, which could be applied beyond MARL to other areas where algorithm design is challenging. The finding that LLM-generated solutions can be distilled into minimal principles is particularly valuable, as it offers a path to interpretable and efficient algorithms. This could lead to faster innovation in AI, as researchers can leverage LLMs to explore vast design spaces and then distill the best ideas into practical solutions. The methodology also encourages a shift from purely manual algorithm design to a more collaborative human-AI approach, potentially unlocking new capabilities in multi-agent systems and beyond.