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This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with merely monotone and restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , Angelia Nedich

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…

多智能体系统 · 计算机科学 2020-12-16 Yaodong Yang , Rui Luo , Minne Li , Ming Zhou , Weinan Zhang , Jun Wang

Standard multi-agent reinforcement learning (MARL) algorithms are vulnerable to sim-to-real gaps. To address this, distributionally robust Markov games (RMGs) have been proposed to enhance robustness in MARL by optimizing the worst-case…

机器学习 · 计算机科学 2025-02-03 Laixi Shi , Jingchu Gai , Eric Mazumdar , Yuejie Chi , Adam Wierman

We study Nash equilibria learning of a general-sum stochastic game with an unknown transition probability density function. Agents take actions at the current environment state and their joint action influences the transition of the…

系统与控制 · 电气工程与系统科学 2022-10-19 Yan Chen , Tao Li

In this paper, we investigate the impact of introducing relative entropy regularization on the Nash Equilibria (NE) of General-Sum $N$-agent games, revealing the fact that the NE of such games conform to linear Gaussian policies. Moreover,…

计算机科学与博弈论 · 计算机科学 2024-09-16 Muhammad Aneeq uz Zaman , Shubham Aggarwal , Melih Bastopcu , Tamer Başar

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 develop a scheme based on active learning to compute equilibria in a generalized Nash equilibrium problem (GNEP). Specifically, an external observer (or entity), with little knowledge on the multi-agent process at hand, collects sensible…

最优化与控制 · 数学 2025-05-08 Barbara Franci , Filippo Fabiani , Alberto Bemporad

Markov Potential Games (MPGs) form an important sub-class of Markov games, which are a common framework to model multi-agent reinforcement learning problems. In particular, MPGs include as a special case the identical-interest setting where…

机器学习 · 计算机科学 2024-08-16 Pragnya Alatur , Anas Barakat , Niao He

We consider the problem of finding Nash equilibrium for two-player turn-based zero-sum games. Inspired by the AlphaGo Zero (AGZ) algorithm, we develop a Reinforcement Learning based approach. Specifically, we propose…

机器学习 · 计算机科学 2020-02-26 Devavrat Shah , Varun Somani , Qiaomin Xie , Zhi Xu

We study a multi-agent reinforcement learning dynamics, and analyze its asymptotic behavior in infinite-horizon discounted Markov potential games. We focus on the independent and decentralized setting, where players do not know the game…

机器学习 · 计算机科学 2025-04-02 Chinmay Maheshwari , Manxi Wu , Druv Pai , Shankar Sastry

In this paper we study team-symmetric games with $m\ge 2$ teams. Players within a team have symmetric identity and have a common payoff function. We show that team-symmetric games always have a team-symmetric Nash equilibrium. We develop…

多智能体系统 · 计算机科学 2026-05-14 Duan-Shin Lee , Yu-Hsiu Hung

We consider a wireless communication system in which $N$ transmitter-receiver pairs want to communicate with each other. Each transmitter transmits data at a certain rate using a power that depends on the channel gain to its receiver. If a…

信息论 · 计算机科学 2016-02-04 Krishna Chaitanya A , Vinod Sharma , Utpal Mukherji

Optimal policies in standard MDPs can be obtained using either value iteration or policy iteration. However, in the case of zero-sum Markov games, there is no efficient policy iteration algorithm; e.g., it has been shown that one has to…

机器学习 · 计算机科学 2023-10-31 Anna Winnicki , R. Srikant

This paper considers convex games involving multiple agents that aim to minimize their own cost functions using locally available information. A common assumption in the study of such games is that the agents are symmetric, meaning that…

最优化与控制 · 数学 2025-09-25 Zifan Wang , Xinlei Yi , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We study episodic two-player zero-sum Markov games (MGs) in the offline setting, where the goal is to find an approximate Nash equilibrium (NE) policy pair based on a dataset collected a priori. When the dataset does not have uniform…

机器学习 · 计算机科学 2023-01-02 Han Zhong , Wei Xiong , Jiyuan Tan , Liwei Wang , Tong Zhang , Zhaoran Wang , Zhuoran Yang

Multi-agent robust reinforcement learning, also known as multi-player robust Markov games (RMGs), is a crucial framework for modeling competitive interactions under environmental uncertainties, with wide applications in multi-agent systems.…

机器学习 · 计算机科学 2024-12-31 Yuchen Jiao , Gen Li

The standard risk minimization paradigm of machine learning is brittle when operating in environments whose test distributions are different from the training distribution due to spurious correlations. Training on data from many…

机器学习 · 计算机科学 2020-03-20 Kartik Ahuja , Karthikeyan Shanmugam , Kush R. Varshney , Amit Dhurandhar

Solution concepts such as Nash Equilibria, Correlated Equilibria, and Coarse Correlated Equilibria are useful components for many multiagent machine learning algorithms. Unfortunately, solving a normal-form game could take prohibitive or…

机器学习 · 计算机科学 2023-04-18 Luke Marris , Ian Gemp , Thomas Anthony , Andrea Tacchetti , Siqi Liu , Karl Tuyls

Coordination is one of the essential problems in multi-agent systems. Typically multi-agent reinforcement learning (MARL) methods treat agents equally and the goal is to solve the Markov game to an arbitrary Nash equilibrium (NE) when…

多智能体系统 · 计算机科学 2020-04-07 Haifeng Zhang , Weizhe Chen , Zeren Huang , Minne Li , Yaodong Yang , Weinan Zhang , Jun Wang

The Control as Inference (CAI) framework has successfully transformed single-agent reinforcement learning (RL) by reframing control tasks as probabilistic inference problems. However, the extension of CAI to multi-agent, general-sum…

多智能体系统 · 计算机科学 2025-03-11 Zhiyu Zhao , Haifeng Zhang
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