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The empirical success of Multi-agent reinforcement learning is encouraging, while few theoretical guarantees have been revealed. In this work, we prove that the plug-in solver approach, probably the most natural reinforcement learning…

机器学习 · 计算机科学 2020-12-01 Qiwen Cui , Lin F. Yang

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

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…

机器学习 · 计算机科学 2022-07-12 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause

Nash equilibria provide a principled framework for modeling interactions in multi-agent decision-making and control. However, many equilibrium-seeking methods implicitly assume that each agent has access to the other agents' objectives and…

计算机科学与博弈论 · 计算机科学 2026-03-19 Mahdis Rabbani , Navid Mojahed , Shima Nazari

The focus of this paper is a Bayesian framework for solving a class of problems termed multi-agent inverse reinforcement learning (MIRL). Compared to the well-known inverse reinforcement learning (IRL) problem, MIRL is formalized in the…

计算机科学与博弈论 · 计算机科学 2019-07-31 Xiaomin Lin , Peter A. Beling , Randy Cogill

Several multiagent reinforcement learning (MARL) algorithms have been proposed to optimize agents decisions. Due to the complexity of the problem, the majority of the previously developed MARL algorithms assumed agents either had some…

机器学习 · 计算机科学 2014-01-16 Sherief Abdallah , Victor Lesser

This paper presents a novel data-driven approach for approximating the $\varepsilon$-Nash equilibrium in continuous-time linear quadratic Gaussian (LQG) games, where multiple agents interact with each other through their dynamics and…

系统与控制 · 电气工程与系统科学 2025-07-22 Zhenhui Xu , Jiayu Chen , Bing-Chang Wang , Tielong Shen

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

This paper resolves the open question of designing near-optimal algorithms for learning imperfect-information extensive-form games from bandit feedback. We present the first line of algorithms that require only…

机器学习 · 计算机科学 2023-04-04 Yu Bai , Chi Jin , Song Mei , Tiancheng Yu

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

最优化与控制 · 数学 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

We initiate the study of Preference-Based Multi-Agent Reinforcement Learning (PbMARL), exploring both theoretical foundations and empirical validations. We define the task as identifying the Nash equilibrium from a preference-only offline…

机器学习 · 计算机科学 2025-01-10 Natalia Zhang , Xinqi Wang , Qiwen Cui , Runlong Zhou , Sham M. Kakade , Simon S. Du

Information theoretic sensor management approaches are an ideal solution to state estimation problems when considering the optimal control of multi-agent systems, however they are too computationally intensive for large state spaces,…

多智能体系统 · 计算机科学 2021-02-02 William A. Dawson , Ruben Glatt , Edward Rusu , Braden C. Soper , Ryan A. Goldhahn

No-regret learning has been widely used to compute a Nash equilibrium in two-person zero-sum games. However, there is still a lack of regret analysis for network stochastic zero-sum games, where players competing in two subnetworks only…

最优化与控制 · 数学 2022-05-31 Shijie Huang , Jinlong Lei , Yiguang Hong

Structured game representations have recently attracted interest as models for multi-agent artificial intelligence scenarios, with rational behavior most commonly characterized by Nash equilibria. This paper presents efficient, exact…

计算机科学与博弈论 · 计算机科学 2011-10-27 B. Blum , D. Koller , C. R. Shelton

Nash equilibrium is perhaps the best-known solution concept in game theory. Such a solution assigns a strategy to each player which offers no incentive to unilaterally deviate. While a Nash equilibrium is guaranteed to always exist, the…

计算机科学与博弈论 · 计算机科学 2025-04-29 David Sychrovský , Christopher Solinas , Revan MacQueen , Kevin Wang , James R. Wright , Nathan R. Sturtevant , Michael Bowling

We consider the problem of decentralized multi-agent reinforcement learning in Markov games. A fundamental question is whether there exist algorithms that, when adopted by all agents and run independently in a decentralized fashion, lead to…

机器学习 · 计算机科学 2023-03-23 Dylan J. Foster , Noah Golowich , Sham M. Kakade

We consider learning Nash equilibria in two-player zero-sum Markov Games with nonlinear function approximation, where the action-value function is approximated by a function in a Reproducing Kernel Hilbert Space (RKHS). The key challenge is…

机器学习 · 计算机科学 2022-08-11 Chris Junchi Li , Dongruo Zhou , Quanquan Gu , Michael I. Jordan

Multi-agent Inverse Reinforcement Learning (MAIRL) aims to recover agent reward functions from expert demonstrations. We characterize the feasible reward set in Markov games, identifying all reward functions that rationalize a given…

机器学习 · 计算机科学 2025-11-26 Till Freihaut , Giorgia Ramponi

We investigate Nash equilibrium learning in a competitive Markov Game (MG) environment, where multiple agents compete, and multiple Nash equilibria can exist. In particular, for an oligopolistic dynamic pricing environment, exact Nash…

计算机科学与博弈论 · 计算机科学 2024-03-05 Larkin Liu

We study Nash equilibrium learning in partially observable Markov games (POMGs), a multi-agent reinforcement learning framework in which agents cannot fully observe the underlying state. Prior work in this setting relies on centralization…

计算机科学与博弈论 · 计算机科学 2026-05-08 Philip Jordan , Maryam Kamgarpour