Bench-MFG: A Benchmark Suite for Learning in Stationary Mean Field Games

Fuente: arXiv
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Hauptverfasser: Magnino, Lorenzo, Shen, Jiacheng, Geist, Matthieu, Pietquin, Olivier, Laurière, Mathieu
Format: Preprint
Veröffentlicht: 2026
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author Magnino, Lorenzo
Shen, Jiacheng
Geist, Matthieu
Pietquin, Olivier
Laurière, Mathieu
author_facet Magnino, Lorenzo
Shen, Jiacheng
Geist, Matthieu
Pietquin, Olivier
Laurière, Mathieu
contents The intersection of Mean Field Games (MFGs) and Reinforcement Learning (RL) has fostered a growing family of algorithms designed to solve large-scale multi-agent systems. However, the field currently lacks a standardized evaluation protocol, forcing researchers to rely on bespoke, isolated, and often simplistic environments. This fragmentation makes it difficult to assess the robustness, generalization, and failure modes of emerging methods. To address this gap, we propose a comprehensive benchmark suite for MFGs (Bench-MFG), focusing on the discrete-time, discrete-space, stationary setting for the sake of clarity. We introduce a taxonomy of problem classes, ranging from no-interaction and monotone games to potential and dynamics-coupled games, and provide prototypical environments for each. Furthermore, we propose MF-Garnets, a method for generating random MFG instances to facilitate rigorous statistical testing. We benchmark a variety of learning algorithms across these environments, including a novel black-box approach (MF-PSO) for exploitability minimization. Based on our extensive empirical results, we propose guidelines to standardize future experimental comparisons. Code available at \href{https://github.com/lorenzomagnino/Bench-MFG}{https://github.com/lorenzomagnino/Bench-MFG}.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12517
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Bench-MFG: A Benchmark Suite for Learning in Stationary Mean Field Games
Magnino, Lorenzo
Shen, Jiacheng
Geist, Matthieu
Pietquin, Olivier
Laurière, Mathieu
Machine Learning
Artificial Intelligence
Multiagent Systems
Optimization and Control
The intersection of Mean Field Games (MFGs) and Reinforcement Learning (RL) has fostered a growing family of algorithms designed to solve large-scale multi-agent systems. However, the field currently lacks a standardized evaluation protocol, forcing researchers to rely on bespoke, isolated, and often simplistic environments. This fragmentation makes it difficult to assess the robustness, generalization, and failure modes of emerging methods. To address this gap, we propose a comprehensive benchmark suite for MFGs (Bench-MFG), focusing on the discrete-time, discrete-space, stationary setting for the sake of clarity. We introduce a taxonomy of problem classes, ranging from no-interaction and monotone games to potential and dynamics-coupled games, and provide prototypical environments for each. Furthermore, we propose MF-Garnets, a method for generating random MFG instances to facilitate rigorous statistical testing. We benchmark a variety of learning algorithms across these environments, including a novel black-box approach (MF-PSO) for exploitability minimization. Based on our extensive empirical results, we propose guidelines to standardize future experimental comparisons. Code available at \href{https://github.com/lorenzomagnino/Bench-MFG}{https://github.com/lorenzomagnino/Bench-MFG}.
title Bench-MFG: A Benchmark Suite for Learning in Stationary Mean Field Games
topic Machine Learning
Artificial Intelligence
Multiagent Systems
Optimization and Control
url https://arxiv.org/abs/2602.12517