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Coordinating large populations of interacting agents is a central challenge in multi-agent reinforcement learning (MARL), where the size of the joint state-action space scales exponentially with the number of agents. Mean-field methods…

Machine Learning · Computer Science 2026-02-19 Emile Anand , Richard Hoffmann , Sarah Liaw , Adam Wierman

Mean-Field Control (MFC) is a powerful tool to solve Multi-Agent Reinforcement Learning (MARL) problems. Recent studies have shown that MFC can well-approximate MARL when the population size is large and the agents are exchangeable.…

Machine Learning · Computer Science 2022-06-02 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

Multi-agent reinforcement learning (MARL) remains difficult to scale to many agents. Recent MARL using Mean Field Control (MFC) provides a tractable and rigorous approach to otherwise difficult cooperative MARL. However, the strict MFC…

Machine Learning · Computer Science 2024-05-09 Kai Cui , Christian Fabian , Anam Tahir , Heinz Koeppl

Mean-Field Control (MFC) has recently been proven to be a scalable tool to approximately solve large-scale multi-agent reinforcement learning (MARL) problems. However, these studies are typically limited to unconstrained cumulative reward…

Machine Learning · Computer Science 2024-09-11 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

Multi-agent reinforcement learning (MARL), despite its popularity and empirical success, suffers from the curse of dimensionality. This paper builds the mathematical framework to approximate cooperative MARL by a mean-field control (MFC)…

Machine Learning · Computer Science 2021-10-04 Haotian Gu , Xin Guo , Xiaoli Wei , Renyuan Xu

Mean field control (MFC) is an effective way to mitigate the curse of dimensionality of cooperative multi-agent reinforcement learning (MARL) problems. This work considers a collection of $N_{\mathrm{pop}}$ heterogeneous agents that can be…

Machine Learning · Computer Science 2022-05-10 Washim Uddin Mondal , Mridul Agarwal , Vaneet Aggarwal , Satish V. Ukkusuri

Mean Field Control (MFC) is a powerful approximation tool to solve large-scale Multi-Agent Reinforcement Learning (MARL) problems. However, the success of MFC relies on the presumption that given the local states and actions of all the…

Machine Learning · Computer Science 2023-05-30 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

Traditional multi-agent reinforcement learning algorithms are difficultly applied in a large-scale multi-agent environment. The introduction of mean field theory has enhanced the scalability of multi-agent reinforcement learning in recent…

Artificial Intelligence · Computer Science 2024-09-10 Min Yang , Guanjun Liu , Ziyuan Zhou

Although the field of multi-agent reinforcement learning (MARL) has made considerable progress in the last years, solving systems with a large number of agents remains a hard challenge. Graphon mean field games (GMFGs) enable the scalable…

Multiagent Systems · Computer Science 2023-03-14 Christian Fabian , Kai Cui , Heinz Koeppl

Large agent networks are abundant in applications and nature and pose difficult challenges in the field of multi-agent reinforcement learning (MARL) due to their computational and theoretical complexity. While graphon mean field games and…

Multiagent Systems · Computer Science 2025-11-25 Christian Fabian , Kai Cui , Heinz Koeppl

Recent reinforcement learning (RL) methods have achieved success in various domains. However, multi-agent RL (MARL) remains a challenge in terms of decentralization, partial observability and scalability to many agents. Meanwhile,…

Machine Learning · Computer Science 2024-02-26 Kai Cui , Sascha Hauck , Christian Fabian , Heinz Koeppl

We investigate reinforcement learning in the setting of Markov decision processes for a large number of exchangeable agents interacting in a mean field manner. Applications include, for example, the control of a large number of robots…

Optimization and Control · Mathematics 2025-04-30 René Carmona , Mathieu Laurière , Zongjun Tan

The field of multi-agent reinforcement learning (MARL) has made considerable progress towards controlling challenging multi-agent systems by employing various learning methods. Numerous of these approaches focus on empirical and algorithmic…

Multiagent Systems · Computer Science 2022-09-09 Christian Fabian , Kai Cui , Heinz Koeppl

Learning the behavior of large agent populations is an important task for numerous research areas. Although the field of multi-agent reinforcement learning (MARL) has made significant progress towards solving these systems, solutions for…

Multiagent Systems · Computer Science 2024-02-26 Christian Fabian , Kai Cui , Heinz Koeppl

Designing efficient algorithms for multi-agent reinforcement learning (MARL) is fundamentally challenging because the size of the joint state and action spaces grows exponentially in the number of agents. These difficulties are exacerbated…

Machine Learning · Computer Science 2025-10-27 Emile Anand , Ishani Karmarkar , Guannan Qu

Learning in multi-agent systems is highly challenging due to several factors including the non-stationarity introduced by agents' interactions and the combinatorial nature of their state and action spaces. In particular, we consider the…

Machine Learning · Statistics 2023-05-10 Barna Pásztor , Ilija Bogunovic , Andreas Krause

Cooperative Multi-Agent Reinforcement Learning (MARL) necessitates seamless collaboration among agents, often represented by an underlying relation graph. Existing methods for learning this graph primarily focus on agent-pair relations,…

Machine Learning · Computer Science 2026-04-13 Wei Duan , Jie Lu , Junyu Xuan

Mean-field control (MFC) offers a scalable solution to the curse of dimensionality in multi-agent systems but traditionally hinges on the restrictive assumption of exchangeability via dense, all-to-all interactions. In this work, we bridge…

Multiagent Systems · Computer Science 2026-01-30 Tobias Schmidt , Kai Cui

The mean-field framework has been used to find approximate solutions to problems involving very large populations of symmetric, anonymous agents, which may be intractable by other methods. The cooperative mean-field control (MFC) problem…

Multiagent Systems · Computer Science 2025-12-23 Patrick Benjamin , Alessandro Abate

Mean field games (MFG) and mean field control problems (MFC) are frameworks to study Nash equilibria or social optima in games with a continuum of agents. These problems can be used to approximate competitive or cooperative games with a…

Optimization and Control · Mathematics 2021-06-28 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Lauriere
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