Bench-MFG: A Benchmark Suite for Learning in Stationary Mean Field Games
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Abstract (arXiv)
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 hrefhttps://github.com/lorenzomagnino/Bench-MFGhttps://github.com/lorenzomagnino/Bench-MFG.
Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 22 of its 40 references that are in the map. First posted on arXiv 13 Feb 2026.
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22 of 40 references.
References · 22
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- 2021Approximately Solving Mean Field Games via Entropy-Regularized Deep Reinforcement Learningcited by 65
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- 2021Concave Utility Reinforcement Learning: the Mean-Field Game Viewpointcited by 54
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- 2022Scalable Deep Reinforcement Learning Algorithms for Mean Field Gamescited by 33
10 more
- 2021Mean Field Games Flock! The Reinforcement Learning Waycited by 30
- 2016Mean Field Game of Controls and An Application To Trade Crowdingcited by 22
- 2020Mean Field Games and Applications: Numerical Aspectscited by 22
- 2019Actor-Critic Provably Finds Nash Equilibria of Linear-Quadratic Mean-Field Gamescited by 15
- 2021Learning Equilibria in Mean-Field Games: Introducing Mean-Field PSROcited by 13
- 2020Optimal incentives to mitigate epidemics: a Stackelberg mean field game approachcited by 8
- 2023Regularization of the policy updates for stabilizing Mean Field Gamescited by 5
- 2024Individual vaccination as Nash equilibrium in a SIR model with application to the 2009-10 Influenza A(H1N1) epidemic in Francecited by 3
- 2025Solving Continuous Mean Field Games: Deep Reinforcement Learning for Non-Stationary Dynamicscited by 2
- 2021Modeling Presymptomatic Spread in Epidemics via Mean-Field Gamescited by 1
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Citing papers per year: 2026: 1.
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