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Model-based reinforcement learning (RL), which finds an optimal policy using an empirical model, has long been recognized as one of the corner stones of RL. It is especially suitable for multi-agent RL (MARL), as it naturally decouples the…

Machine Learning · Computer Science 2023-08-10 Kaiqing Zhang , Sham M. Kakade , Tamer Başar , Lin F. Yang

Learning in stochastic games is arguably the most standard and fundamental setting in multi-agent reinforcement learning (MARL). In this paper, we consider decentralized MARL in stochastic games in the non-asymptotic regime. In particular,…

Computer Science and Game Theory · Computer Science 2021-12-17 Zuguang Gao , Qianqian Ma , Tamer Başar , John R. Birge

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

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

Multi-agent reinforcement learning (MARL) algorithms often suffer from an exponential sample complexity dependence on the number of agents, a phenomenon known as \emph{the curse of multiagents}. In this paper, we address this challenge by…

Machine Learning · Computer Science 2022-02-01 Weichao Mao , Lin F. Yang , Kaiqing Zhang , Tamer Başar

This paper considers the challenging tasks of Multi-Agent Reinforcement Learning (MARL) under partial observability, where each agent only sees her own individual observations and actions that reveal incomplete information about the…

Machine Learning · Computer Science 2022-10-18 Qinghua Liu , Csaba Szepesvári , Chi Jin

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

Multi-agent reinforcement learning (MARL) lies at the heart of a plethora of applications involving the interaction of a group of agents in a shared unknown environment. A prominent framework for studying MARL is Markov games, with the goal…

Machine Learning · Computer Science 2025-02-17 Tong Yang , Bo Dai , Lin Xiao , Yuejie Chi

Similar to the role of Markov decision processes in reinforcement learning, Stochastic Games (SGs) lay the foundation for the study of multi-agent reinforcement learning (MARL) and sequential agent interactions. In this paper, we derive…

Computer Science and Game Theory · Computer Science 2023-01-12 Xiaotie Deng , Ningyuan Li , David Mguni , Jun Wang , Yaodong Yang

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 (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

We study multi-agent general-sum Markov games with nonlinear function approximation. We focus on low-rank Markov games whose transition matrix admits a hidden low-rank structure on top of an unknown non-linear representation. The goal is to…

Machine Learning · Computer Science 2022-11-01 Chengzhuo Ni , Yuda Song , Xuezhou Zhang , Chi Jin , Mengdi Wang

Multi-agent reinforcement learning (MARL) holds great potential but faces robustness challenges due to environmental uncertainty. To address this, distributionally robust Markov games (RMGs) optimize worst-case performance when the…

Machine Learning · Computer Science 2026-05-08 Jingchu Gai , Laixi Shi

Model-based algorithms -- algorithms that explore the environment through building and utilizing an estimated model -- are widely used in reinforcement learning practice and theoretically shown to achieve optimal sample efficiency for…

Machine Learning · Computer Science 2021-02-09 Qinghua Liu , Tiancheng Yu , Yu Bai , Chi Jin

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

We consider model-based multi-agent reinforcement learning, where the environment transition model is unknown and can only be learned via expensive interactions with the environment. We propose H-MARL (Hallucinated Multi-Agent Reinforcement…

Machine Learning · Computer Science 2022-07-12 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause

Markov games (MGs) and multi-agent reinforcement learning (MARL) are studied to model decision making in multi-agent systems. Traditionally, the objective in MG and MARL has been risk-neutral, i.e., agents are assumed to optimize a…

Computer Science and Game Theory · Computer Science 2024-06-11 Hafez Ghaemi , Shirin Jamshidi , Mohammad Mashreghi , Majid Nili Ahmadabadi , Hamed Kebriaei

The thriving field of multi-agent reinforcement learning (MARL) studies how a group of interacting agents make decisions autonomously in a shared dynamic environment. Existing theoretical studies in this area suffer from at least two of the…

Machine Learning · Computer Science 2025-12-02 Na Li , Yuchen Jiao , Hangguan Shan , Shefeng Yan

The problem of two-player zero-sum Markov games has recently attracted increasing interests in theoretical studies of multi-agent reinforcement learning (RL). In particular, for finite-horizon episodic Markov decision processes (MDPs), it…

Machine Learning · Computer Science 2024-06-07 Songtao Feng , Ming Yin , Yu-Xiang Wang , Jing Yang , Yingbin Liang

We study offline multi-agent reinforcement learning (RL) in Markov games, where the goal is to learn an approximate equilibrium -- such as Nash equilibrium and (Coarse) Correlated Equilibrium -- from an offline dataset pre-collected from…

Machine Learning · Computer Science 2023-02-07 Yuheng Zhang , Yu Bai , Nan Jiang
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