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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

While multi-agent reinforcement learning (MARL) has produced numerous algorithms that converge to Nash or related equilibria, such equilibria are often non-unique and can exhibit widely varying efficiency. This raises a fundamental…

Computer Science and Game Theory · Computer Science 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

We present the extension of the Remember and Forget for Experience Replay (ReF-ER) algorithm to Multi-Agent Reinforcement Learning (MARL). ReF-ER was shown to outperform state of the art algorithms for continuous control in problems ranging…

Machine Learning · Computer Science 2022-09-05 Pascal Weber , Daniel Wälchli , Mustafa Zeqiri , Petros Koumoutsakos

In real-world multi-agent reinforcement learning (MARL) applications, agents may not have perfect state information (e.g., due to inaccurate measurement or malicious attacks), which challenges the robustness of agents' policies. Though…

Machine Learning · Computer Science 2023-08-01 Sihong He , Songyang Han , Sanbao Su , Shuo Han , Shaofeng Zou , Fei Miao

Reinforcement learning for multi-agent games has attracted lots of attention recently. However, given the challenge of solving Nash equilibria for large population games, existing works with guaranteed polynomial complexities either focus…

Optimization and Control · Mathematics 2025-09-04 Anran Hu , Junzi Zhang

Multi-agent imitation learning (MA-IL) aims to learn optimal policies from expert demonstrations of interactions in multi-agent interactive domains. Despite existing guarantees on the performance of the resulting learned policies,…

Machine Learning · Computer Science 2026-02-25 Antoine Bergerault , Volkan Cevher , Negar Mehr

A central problem in the theory of multi-agent reinforcement learning (MARL) is to understand what structural conditions and algorithmic principles lead to sample-efficient learning guarantees, and how these considerations change as we move…

Machine Learning · Computer Science 2023-05-02 Dylan J. Foster , Dean P. Foster , Noah Golowich , Alexander Rakhlin

To achieve sample efficiency in reinforcement learning (RL), it necessitates efficiently exploring the underlying environment. Under the offline setting, addressing the exploration challenge lies in collecting an offline dataset with…

Machine Learning · Computer Science 2022-02-15 Shuang Qiu , Jieping Ye , Zhaoran Wang , Zhuoran Yang

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 by experience in Multi-Agent Systems (MAS) is a difficult and exciting task, due to the lack of stationarity of the environment, whose dynamics evolves as the population learns. In order to design scalable algorithms for systems…

Optimization and Control · Mathematics 2020-02-24 Romuald Elie , Julien Pérolat , Mathieu Laurière , Matthieu Geist , Olivier Pietquin

Multi-agent reinforcement learning (MARL) addresses sequential decision-making problems with multiple agents, where each agent optimizes its own objective. In many real-world instances, the agents may not only want to optimize their…

Machine Learning · Computer Science 2023-06-14 Pragnya Alatur , Giorgia Ramponi , Niao He , Andreas Krause

This paper proposes new, end-to-end deep reinforcement learning algorithms for learning two-player zero-sum Markov games. Different from prior efforts on training agents to beat a fixed set of opponents, our objective is to find the Nash…

Machine Learning · Computer Science 2023-03-08 Zihan Ding , Dijia Su , Qinghua Liu , Chi Jin

We characterize offline data poisoning attacks on Multi-Agent Reinforcement Learning (MARL), where an attacker may change a data set in an attempt to install a (potentially fictitious) unique Markov-perfect Nash equilibrium for a two-player…

Multiagent Systems · Computer Science 2024-06-19 Young Wu , Jeremy McMahan , Xiaojin Zhu , Qiaomin Xie

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

This paper presents a theoretical framework for probably approximately correct (PAC) multi-agent reinforcement learning (MARL) algorithms for Markov games. The paper offers an extension to the well-known Nash Q-learning algorithm, using the…

Computer Science and Game Theory · Computer Science 2020-09-09 Ashkan Zehfroosh , Herbert G. Tanner

When solving two-player zero-sum games, multi-agent reinforcement learning (MARL) algorithms often create populations of agents where, at each iteration, a new agent is discovered as the best response to a mixture over the opponent…

Artificial Intelligence · Computer Science 2021-11-02 Xidong Feng , Oliver Slumbers , Ziyu Wan , Bo Liu , Stephen McAleer , Ying Wen , Jun Wang , Yaodong Yang

We initiate the study of Preference-Based Multi-Agent Reinforcement Learning (PbMARL), exploring both theoretical foundations and empirical validations. We define the task as identifying the Nash equilibrium from a preference-only offline…

Machine Learning · Computer Science 2025-01-10 Natalia Zhang , Xinqi Wang , Qiwen Cui , Runlong Zhou , Sham M. Kakade , Simon S. Du

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

We study the problem of learning a Nash equilibrium (NE) in Markov games which is a cornerstone in multi-agent reinforcement learning (MARL). In particular, we focus on infinite-horizon adversarial team Markov games (ATMGs) in which agents…

Computer Science and Game Theory · Computer Science 2024-10-10 Fivos Kalogiannis , Jingming Yan , Ioannis Panageas

Multi-agent reinforcement learning (MARL) methods, while effective in zero-sum or positive-sum games, often yield suboptimal outcomes in general-sum games where cooperation is essential for achieving globally optimal outcomes. Matrix game…

Computer Science and Game Theory · Computer Science 2024-08-09 Mustafa Yasir , Andrew Howes , Vasilios Mavroudis , Chris Hicks