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相关论文: Policy Optimization for Markov Games: Unified Fram…

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We study decentralized policy learning in Markov games where we control a single agent to play with nonstationary and possibly adversarial opponents. Our goal is to develop a no-regret online learning algorithm that (i) takes actions based…

机器学习 · 计算机科学 2022-06-06 Wenhao Zhan , Jason D. Lee , Zhuoran Yang

Mean-field games have been used as a theoretical tool to obtain an approximate Nash equilibrium for symmetric and anonymous $N$-player games. However, limiting applicability, existing theoretical results assume variations of a "population…

最优化与控制 · 数学 2023-06-12 Batuhan Yardim , Semih Cayci , Matthieu Geist , Niao He

Motivated by the success of Nesterov's accelerated gradient algorithm for convex minimization problems, we examine whether it is possible to achieve similar performance gains in the context of online learning in games. To that end, we…

计算机科学与博弈论 · 计算机科学 2024-12-31 Kyriakos Lotidis , Angeliki Giannou , Panayotis Mertikopoulos , Nicholas Bambos

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…

最优化与控制 · 数学 2025-09-04 Anran Hu , Junzi Zhang

We study discrete-time mean-field Markov games with infinite numbers of agents where each agent aims to minimize its ergodic cost. We consider the setting where the agents have identical linear state transitions and quadratic cost…

最优化与控制 · 数学 2019-10-17 Zuyue Fu , Zhuoran Yang , Yongxin Chen , Zhaoran Wang

In this paper, we consider two-player zero-sum matrix and stochastic games and develop learning dynamics that are payoff-based, convergent, rational, and symmetric between the two players. Specifically, the learning dynamics for matrix…

机器学习 · 计算机科学 2024-09-06 Zaiwei Chen , Kaiqing Zhang , Eric Mazumdar , Asuman Ozdaglar , Adam Wierman

An $\alpha$-potential game is a multi-player non-cooperative interaction in which a global potential function approximates individual player rewards up to a structural bias $\alpha$. While identifying a Nash Equilibrium (NE) in generic…

计算机科学与博弈论 · 计算机科学 2026-05-19 Claire Chen , Yuheng Zhang

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

In high-stake scenarios like medical treatment and auto-piloting, it's risky or even infeasible to collect online experimental data to train the agent. Simulation-based training can alleviate this issue, but may suffer from its inherent…

机器学习 · 计算机科学 2022-03-16 Jialian Li , Tongzheng Ren , Dong Yan , Hang Su , Jun Zhu

This work focuses on the entropy-regularized independent natural policy gradient (NPG) algorithm in multi-agent reinforcement learning. In this work, agents are assumed to have access to an oracle with exact policy evaluation and seek to…

机器学习 · 计算机科学 2024-05-07 Youbang Sun , Tao Liu , P. R. Kumar , Shahin Shahrampour

Policy gradient algorithms have been widely applied to Markov decision processes and reinforcement learning problems in recent years. Regularization with various entropy functions is often used to encourage exploration and improve…

机器学习 · 计算机科学 2023-06-09 Haoya Li , Samarth Gupta , Hsiangfu Yu , Lexing Ying , Inderjit Dhillon

Bargaining games, where agents attempt to agree on how to split utility, are an important class of games used to study economic behavior, which motivates a study of online learning algorithms in these games. In this work, we tackle when…

计算机科学与博弈论 · 计算机科学 2025-07-08 Serafina Kamp , Reese Liebman , Benjamin Fish

We study data corruption robustness in offline two-player zero-sum Markov games. Given a dataset of realized trajectories of two players, an adversary is allowed to modify an $\epsilon$-fraction of it. The learner's goal is to identify an…

计算机科学与博弈论 · 计算机科学 2024-03-14 Andi Nika , Debmalya Mandal , Adish Singla , Goran Radanović

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…

多智能体系统 · 计算机科学 2024-06-19 Young Wu , Jeremy McMahan , Xiaojin Zhu , Qiaomin Xie

Multi-agent reinforcement learning is a challenging and active field of research due to the inherent nonstationary property and coupling between agents. A popular approach to modeling the multi-agent interactions underlying the multi-agent…

多智能体系统 · 计算机科学 2025-10-07 Jushan Chen , Santiago Paternain

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…

机器学习 · 计算机科学 2022-10-18 Qinghua Liu , Csaba Szepesvári , Chi Jin

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…

机器学习 · 计算机科学 2024-06-07 Songtao Feng , Ming Yin , Yu-Xiang Wang , Jing Yang , Yingbin Liang

In multi-agent reinforcement learning, the behaviors that agents learn in a single Markov Game (MG) are typically confined to the given agent number. Every single MG induced by varying the population may possess distinct optimal joint…

机器学习 · 计算机科学 2023-06-06 Shenao Zhang , Li Shen , Lei Han , Li Shen

We study risk-sensitive multi-agent reinforcement learning under general-sum Markov games, where agents optimize the entropic risk measure of rewards with possibly diverse risk preferences. We show that using the regret naively adapted from…

机器学习 · 计算机科学 2024-05-07 Yingjie Fei , Ruitu Xu

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