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Mean-field reinforcement learning (MF-RL) scales multi-agent RL to large populations by reducing each agent's dependence on others to a single summary statistic -- the mean action. However, this reduction requires every agent to act at…

Multiagent Systems · Computer Science 2026-02-23 Shan Yang

Multi-agent reinforcement learning (MARL) has attracted much research attention recently. However, unlike its single-agent counterpart, many theoretical and algorithmic aspects of MARL have not been well-understood. In this paper, we study…

Machine Learning · Computer Science 2021-12-08 Siliang Zeng , Tianyi Chen , Alfredo Garcia , Mingyi Hong

This paper considers multi-agent reinforcement learning (MARL) where the rewards are received after delays and the delay time varies across agents and across time steps. Based on the V-learning framework, this paper proposes MARL algorithms…

Multiagent Systems · Computer Science 2023-05-17 Yuyang Zhang , Runyu Zhang , Yuantao Gu , Na Li

Deep Reinforcement Learning has made significant progress in multi-agent systems in recent years. In this review article, we have focused on presenting recent approaches on Multi-Agent Reinforcement Learning (MARL) algorithms. In…

Machine Learning · Computer Science 2021-05-03 Afshin OroojlooyJadid , Davood Hajinezhad

Mean-field control (MFC) problems aim to find the optimal policy to control massive populations of interacting agents. These problems are crucial in areas such as economics, physics, and biology. We consider the non-local setting, where the…

Optimization and Control · Mathematics 2024-05-20 Alexander Vidal , Samy Wu Fung , Stanley Osher , Luis Tenorio , Levon Nurbekyan

Multi-agent reinforcement learning (MARL) has achieved notable success in cooperative tasks, demonstrating impressive performance and scalability. However, deploying MARL agents in real-world applications presents critical safety…

Machine Learning · Computer Science 2024-11-25 Zeyang Li , Navid Azizan

We study multi-agent reinforcement learning (MARL) for the general-sum Markov Games (MGs) under the general function approximation. In order to find the minimum assumption for sample-efficient learning, we introduce a novel complexity…

Machine Learning · Computer Science 2023-10-11 Nuoya Xiong , Zhihan Liu , Zhaoran Wang , Zhuoran Yang

In this paper, we investigate the interaction of two populations with a large number of indistinguishable agents. The problem consists in two levels: the interaction between agents of a same population, and the interaction between the two…

Optimization and Control · Mathematics 2018-10-30 Alain Bensoussan , Tao Huang , Mathieu Laurière

Existing multi-agent reinforcement learning methods are limited typically to a small number of agents. When the agent number increases largely, the learning becomes intractable due to the curse of the dimensionality and the exponential…

Multiagent Systems · Computer Science 2020-12-16 Yaodong Yang , Rui Luo , Minne Li , Ming Zhou , Weinan Zhang , Jun Wang

In this paper, we study large population multi-agent reinforcement learning (RL) in the context of discrete-time linear-quadratic mean-field games (LQ-MFGs). Our setting differs from most existing work on RL for MFGs, in that we consider a…

Systems and Control · Electrical Eng. & Systems 2020-10-02 Muhammad Aneeq uz Zaman , Kaiqing Zhang , Erik Miehling , Tamer Başar

Multi-agent reinforcement learning (MARL) under partial observability has long been considered challenging, primarily due to the requirement for each agent to maintain a belief over all other agents' local histories -- a domain that…

Artificial Intelligence · Computer Science 2020-08-18 Weichao Mao , Kaiqing Zhang , Erik Miehling , Tamer Başar

Multi-Agent Reinforcement Learning (MARL) is an increasingly important research field that can model and control multiple large-scale autonomous systems. Despite its achievements, existing multi-agent learning methods typically involve…

Multiagent Systems · Computer Science 2023-05-25 Kailash Gogineni , Peng Wei , Tian Lan , Guru Venkataramani

Preventing collisions in multi-robot navigation is crucial for deployment. This requirement hinders the use of learning-based approaches, such as multi-agent reinforcement learning (MARL), on their own due to their lack of safety…

Multi-agent reinforcement learning (MARL) has witnessed significant progress with the development of value function factorization methods. It allows optimizing a joint action-value function through the maximization of factorized per-agent…

Multiagent Systems · Computer Science 2023-05-05 Hanhan Zhou , Tian Lan , Vaneet Aggarwal

Mean field games (MFG) and mean field control (MFC) are critical classes of multi-agent models for efficient analysis of massive populations of interacting agents. Their areas of application span topics in economics, finance, game theory,…

Machine Learning · Computer Science 2022-06-08 Lars Ruthotto , Stanley Osher , Wuchen Li , Levon Nurbekyan , Samy Wu Fung

Multi-Agent Reinforcement Learning (MARL) algorithms show amazing performance in simulation in recent years, but placing MARL in real-world applications may suffer safety problems. MARL with centralized shields was proposed and verified in…

Multiagent Systems · Computer Science 2021-03-24 Zhiyuan Cai , Huanhui Cao , Wenjie Lu , Lin Zhang , Hao Xiong

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

We study the problem of multi-agent reinforcement learning (MARL) with adaptivity constraints -- a new problem motivated by real-world applications where deployments of new policies are costly and the number of policy updates must be…

Machine Learning · Computer Science 2024-02-05 Dan Qiao , Yu-Xiang Wang

Multi-agent reinforcement learning methods have shown remarkable potential in solving complex multi-agent problems but mostly lack theoretical guarantees. Recently, mean field control and mean field games have been established as a…

Machine Learning · Computer Science 2021-12-20 Kai Cui , Anam Tahir , Mark Sinzger , Heinz Koeppl

Multi-agent reinforcement learning (MARL) achieves significant empirical successes. However, MARL suffers from the curse of many agents. In this paper, we exploit the symmetry of agents in MARL. In the most generic form, we study a…

Machine Learning · Computer Science 2020-06-23 Lingxiao Wang , Zhuoran Yang , Zhaoran Wang