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We examine online safe multi-agent reinforcement learning using constrained Markov games in which agents compete by maximizing their expected total rewards under a constraint on expected total utilities. Our focus is confined to an episodic…

机器学习 · 计算机科学 2023-06-02 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

In this paper, we propose a passivity-based methodology for analysis and design of reinforcement learning in multi-agent finite games. Starting from a known exponentially-discounted reinforcement learning scheme, we show that convergence to…

最优化与控制 · 数学 2024-10-30 Bolin Gao , Lacra Pavel

Recent advances at the intersection of dense large graph limits and mean field games have begun to enable the scalable analysis of a broad class of dynamical sequential games with large numbers of agents. So far, results have been largely…

计算机科学与博弈论 · 计算机科学 2022-02-21 Kai Cui , Heinz Koeppl

We investigate multi-agent reinforcement learning for stochastic games with complex tasks, where the reward functions are non-Markovian. We utilize reward machines to incorporate high-level knowledge of complex tasks. We develop an…

多智能体系统 · 计算机科学 2023-08-30 Jueming Hu , Jean-Raphael Gaglione , Yanze Wang , Zhe Xu , Ufuk Topcu , Yongming Liu

This paper addresses the problem of locating base stations in a certain area which is highly populated by mobile stations; each mobile station is assumed to select the closest base station. Base stations are modeled by players who choose…

网络与互联网体系结构 · 计算机科学 2011-05-12 François Mériaux , Samson Lasaulce , Michel Kieffer

In this paper, we present a framework for multi-agent learning in a nonstationary dynamic network environment. More specifically, we examine projected gradient play in smooth monotone repeated network games in which the agents'…

计算机科学与博弈论 · 计算机科学 2024-08-13 Feras Al Taha , Kiran Rokade , Francesca Parise

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

Convex Markov Games (cMGs) were recently introduced as a broad class of multi-agent learning problems that generalize Markov games to settings where strategic agents optimize general utilities beyond additive rewards. While cMGs expand the…

计算机科学与博弈论 · 计算机科学 2026-02-13 Anas Barakat , Ioannis Panageas , Antonios Varvitsiotis

Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

最优化与控制 · 数学 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

An important challenge in non-cooperative game theory is coordinating on a single (approximate) equilibrium from many possibilities - a challenge that becomes even more complex when players hold private information. Recommender mechanisms…

计算机科学与博弈论 · 计算机科学 2025-05-30 Bengisu Guresti , Chongjie Zhang , Yevgeniy Vorobeychik

This paper presents a new distributed algorithm that leverages heavy-ball momentum and a consensus-based gradient method to find a Nash equilibrium (NE) in a class of non-cooperative convex games with unconstrained action sets. In this…

计算机科学与博弈论 · 计算机科学 2023-06-06 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

Despite the significant potential for various applications, stochastic games with long-run average payoffs have received limited scholarly attention, particularly concerning the development of learning algorithms for them due to the…

计算机科学与博弈论 · 计算机科学 2024-05-17 Junyue Zhang , Yifen Mu

In this work, we study the sample complexity of obtaining a Nash equilibrium (NE) estimate in two-player zero-sum matrix games with noisy feedback. Specifically, we propose a novel algorithm that repeatedly solves linear programs (LPs) to…

最优化与控制 · 数学 2026-02-16 Jiashuo Jiang , Mengxiao Zhang

We study the problem of computing an approximate Nash equilibrium of continuous-action game without access to gradients. Such game access is common in reinforcement learning settings, where the environment is typically treated as a black…

计算机科学与博弈论 · 计算机科学 2023-08-30 Carlos Martin , Tuomas Sandholm

We consider a general-sum N-player linear-quadratic game with stochastic dynamics over a finite horizon and prove the global convergence of the natural policy gradient method to the Nash equilibrium. In order to prove the convergence of the…

最优化与控制 · 数学 2022-08-16 Ben Hambly , Renyuan Xu , Huining Yang

This paper investigates posterior sampling algorithms for competitive reinforcement learning (RL) in the context of general function approximations. Focusing on zero-sum Markov games (MGs) under two critical settings, namely self-play and…

机器学习 · 计算机科学 2023-11-01 Shuang Qiu , Ziyu Dai , Han Zhong , Zhaoran Wang , Zhuoran Yang , Tong Zhang

The multi-cluster games are addressed in this paper, where all players team up with the players in the cluster that they belong to, and compete against the players in other clusters to minimize the cost function of their own cluster. The…

系统与控制 · 电气工程与系统科学 2023-06-19 Zhenhua Deng , Yan Zhao

In this work, we study the interaction of strategic agents in continuous action Cournot games with limited information feedback. Cournot game is the essential market model for many socio-economic systems where agents learn and compete…

最优化与控制 · 数学 2020-09-15 Yuanyuan Shi , Baosen Zhang

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

最优化与控制 · 数学 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

Performative Reinforcement Learning (PRL) refers to a scenario in which the deployed policy changes the reward and transition dynamics of the underlying environment. In this work, we study multi-agent PRL by incorporating performative…

机器学习 · 计算机科学 2025-04-30 Rilind Sahitaj , Paulius Sasnauskas , Yiğit Yalın , Debmalya Mandal , Goran Radanović