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Potential games are arguably one of the most important and widely studied classes of normal form games. They define the archetypal setting of multi-agent coordination as all agent utilities are perfectly aligned with each other via a common…

机器学习 · 计算机科学 2025-09-24 Stefanos Leonardos , Will Overman , Ioannis Panageas , Georgios Piliouras

Constrained Markov games offer a formal mathematical framework for modeling multi-agent reinforcement learning problems where the behavior of the agents is subject to constraints. In this work, we focus on the recently introduced class of…

机器学习 · 计算机科学 2024-02-29 Philip Jordan , Anas Barakat , Niao He

We examine global non-asymptotic convergence properties of policy gradient methods for multi-agent reinforcement learning (RL) problems in Markov potential games (MPG). To learn a Nash equilibrium of an MPG in which the size of state space…

机器学习 · 计算机科学 2022-08-08 Dongsheng Ding , Chen-Yu Wei , Kaiqing Zhang , Mihailo R. Jovanović

We study the performance of the gradient play algorithm for stochastic games (SGs), where each agent tries to maximize its own total discounted reward by making decisions independently based on current state information which is shared…

机器学习 · 计算机科学 2023-12-08 Runyu Zhang , Zhaolin Ren , Na Li

Multi-agent reinforcement learning has been successfully applied to fully-cooperative and fully-competitive environments, but little is currently known about mixed cooperative/competitive environments. In this paper, we focus on a…

机器学习 · 计算机科学 2021-10-22 Roy Fox , Stephen McAleer , Will Overman , Ioannis Panageas

We study Markov potential games under the infinite horizon average reward criterion. Most previous studies have been for discounted rewards. We prove that both algorithms based on independent policy gradient and independent natural policy…

机器学习 · 计算机科学 2024-03-12 Min Cheng , Ruida Zhou , P. R. Kumar , Chao Tian

This letter studies multi-agent reinforcement learning in partially observable Markov potential games. Solving this problem is challenging due to partial observability, decentralized information, and the curse of dimensionality. First, to…

多智能体系统 · 计算机科学 2026-04-02 Wonseok Yang , Thinh T. Doan

Reinforcement learning considers the problem of finding policies that maximize an expected cumulative reward in a Markov decision process with unknown transition probabilities. In this paper we consider the problem of finding optimal…

机器学习 · 计算机科学 2020-10-19 Santiago Paternain , Juan Andres Bazerque , Alejandro Ribeiro

This work studies an independent natural policy gradient (NPG) algorithm for the multi-agent reinforcement learning problem in Markov potential games. It is shown that, under mild technical assumptions and the introduction of the…

机器学习 · 计算机科学 2023-10-30 Youbang Sun , Tao Liu , Ruida Zhou , P. R. Kumar , Shahin Shahrampour

Multi-agent interactions are increasingly important in the context of reinforcement learning, and the theoretical foundations of policy gradient methods have attracted surging research interest. We investigate the global convergence of…

最优化与控制 · 数学 2023-03-21 Sarath Pattathil , Kaiqing Zhang , Asuman Ozdaglar

Softmax policy gradient is a popular algorithm for policy optimization in single-agent reinforcement learning, particularly since projection is not needed for each gradient update. However, in multi-agent systems, the lack of central…

最优化与控制 · 数学 2022-11-01 Runyu Zhang , Jincheng Mei , Bo Dai , Dale Schuurmans , Na Li

We introduce a class of networked Markov potential games in which agents are associated with nodes in a network. Each agent has its own local potential function, and the reward of each agent depends only on the states and actions of the…

机器学习 · 计算机科学 2023-07-11 Zhaoyi Zhou , Zaiwei Chen , Yiheng Lin , Adam Wierman

In single-agent Markov decision processes, an agent can optimize its policy based on the interaction with environment. In multi-player Markov games (MGs), however, the interaction is non-stationary due to the behaviors of other players, so…

计算机科学与博弈论 · 计算机科学 2021-10-19 Yuanheng Zhu , Dongbin Zhao , Mengchen Zhao , Dong Li

Policy optimization methods with function approximation are widely used in multi-agent reinforcement learning. However, it remains elusive how to design such algorithms with statistical guarantees. Leveraging a multi-agent performance…

机器学习 · 计算机科学 2023-05-09 Yulai Zhao , Zhuoran Yang , Zhaoran Wang , Jason D. Lee

We obtain global, non-asymptotic convergence guarantees for independent learning algorithms in competitive reinforcement learning settings with two agents (i.e., zero-sum stochastic games). We consider an episodic setting where in each…

机器学习 · 计算机科学 2021-01-13 Constantinos Daskalakis , Dylan J. Foster , Noah Golowich

Policy gradient methods are extensively used in reinforcement learning as a way to optimize expected return. In this paper, we explore the evolution of the policy parameters, for a special class of exactly solvable POMDPs, as a…

机器学习 · 计算机科学 2020-11-04 Gavin McCracken , Colin Daniels , Rosie Zhao , Anna Brandenberger , Prakash Panangaden , Doina Precup

Markov Decision Processes are classically solved using Value Iteration and Policy Iteration algorithms. Recent interest in Reinforcement Learning has motivated the study of methods inspired by optimization, such as gradient ascent. Among…

机器学习 · 计算机科学 2021-05-05 Sajad Khodadadian , Prakirt Raj Jhunjhunwala , Sushil Mahavir Varma , Siva Theja Maguluri

Policy gradient methods enjoy strong practical performance in numerous tasks in reinforcement learning. Their theoretical understanding in multiagent settings, however, remains limited, especially beyond two-player competitive and potential…

计算机科学与博弈论 · 计算机科学 2023-12-22 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

In this paper we propose several novel distributed gradient-based temporal difference algorithms for multi-agent off-policy learning of linear approximation of the value function in Markov decision processes with strict information…

机器学习 · 计算机科学 2021-04-20 Milos S. Stankovic , Marko Beko , Srdjan S. Stankovic

We present Distributed Deep Deterministic Policy Gradient (3DPG), a multi-agent actor-critic (MAAC) algorithm for Markov games. Unlike previous MAAC algorithms, 3DPG is fully distributed during both training and deployment. 3DPG agents…

机器学习 · 计算机科学 2022-11-03 Adrian Redder , Arunselvan Ramaswamy , Holger Karl
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