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Multi-agent reinforcement learning (MARL) remains difficult to scale to many agents. Recent MARL using Mean Field Control (MFC) provides a tractable and rigorous approach to otherwise difficult cooperative MARL. However, the strict MFC…

机器学习 · 计算机科学 2024-05-09 Kai Cui , Christian Fabian , Anam Tahir , Heinz Koeppl

Methods like multi-agent reinforcement learning struggle to scale with growing population size. Mean-field games (MFGs) are a game-theoretic approach that can circumvent this by finding a solution for an abstract infinite population, which…

多智能体系统 · 计算机科学 2025-12-23 Patrick Benjamin , Alessandro Abate

Mean field type games (MFTGs) describe Nash equilibria between large coalitions: each coalition consists of a continuum of cooperative agents who maximize the average reward of their coalition while interacting non-cooperatively with a…

计算机科学与博弈论 · 计算机科学 2025-07-29 Kai Shao , Jiacheng Shen , Mathieu Laurière

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

In this paper, we investigate the interaction of two populations with a large number of indistinguishable agents. The problem consists in two levels: the interaction between agents of a same population, and the interaction between the two…

最优化与控制 · 数学 2018-10-30 Alain Bensoussan , Tao Huang , Mathieu Laurière

The recent mean field game (MFG) formalism has enabled the application of inverse reinforcement learning (IRL) methods in large-scale multi-agent systems, with the goal of inferring reward signals that can explain demonstrated behaviours of…

机器学习 · 计算机科学 2022-02-15 Yang Chen , Libo Zhang , Jiamou Liu , Shuyue Hu

We study infinite horizon discounted Mean Field Control (MFC) problems with common noise through the lens of Mean Field Markov Decision Processes (MFMDP). We allow the agents to use actions that are randomized not only at the individual…

最优化与控制 · 数学 2021-10-14 René Carmona , Mathieu Laurière , Zongjun Tan

We investigate reinforcement learning in the setting of Markov decision processes for a large number of exchangeable agents interacting in a mean field manner. Applications include, for example, the control of a large number of robots…

最优化与控制 · 数学 2025-04-30 René Carmona , Mathieu Laurière , Zongjun Tan

Concave Utility Reinforcement Learning (CURL) extends RL from linear to concave utilities in the occupancy measure induced by the agent's policy. This encompasses not only RL but also imitation learning and exploration, among others. Yet,…

This work studies non-cooperative Multi-Agent Reinforcement Learning (MARL) where multiple agents interact in the same environment and whose goal is to maximize the individual returns. Challenges arise when scaling up the number of agents…

人工智能 · 计算机科学 2023-04-14 Talal Algumaei , Ruben Solozabal , Reda Alami , Hakim Hacid , Merouane Debbah , Martin Takac

Multi-agent reinforcement learning (MARL), despite its popularity and empirical success, suffers from the curse of dimensionality. This paper builds the mathematical framework to approximate cooperative MARL by a mean-field control (MFC)…

机器学习 · 计算机科学 2021-10-04 Haotian Gu , Xin Guo , Xiaoli Wei , Renyuan Xu

In this paper, we study the problem of robust cooperative multi-agent reinforcement learning (RL) where a large number of cooperative agents with distributed information aim to learn policies in the presence of \emph{stochastic} and…

多智能体系统 · 计算机科学 2025-06-16 Muhammad Aneeq uz Zaman , Mathieu Laurière , Alec Koppel , Tamer Başar

We revisit the unified two-timescale Q-learning algorithm as initially introduced by Angiuli et al. \cite{angiuli2022unified}. This algorithm demonstrates efficacy in solving mean field game (MFG) and mean field control (MFC) problems,…

最优化与控制 · 数学 2024-05-30 Jing An , Jianfeng Lu , Yue Wu , Yang Xiang

Mean Field Games (MFG) are the class of games with a very large number of agents and the standard equilibrium concept is a Mean Field Equilibrium (MFE). Algorithms for learning MFE in dynamic MFGs are unknown in general. Our focus is on an…

最优化与控制 · 数学 2021-02-02 Kiyeob Lee , Desik Rengarajan , Dileep Kalathil , Srinivas Shakkottai

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

Designing suitable reward functions for numerous interacting intelligent agents is challenging in real-world applications. Inverse reinforcement learning (IRL) in mean field games (MFGs) offers a practical framework to infer reward…

机器学习 · 计算机科学 2025-09-05 Yang Chen , Xiao Lin , Bo Yan , Libo Zhang , Jiamou Liu , Neset Özkan Tan , Michael Witbrock

Learning by experience in Multi-Agent Systems (MAS) is a difficult and exciting task, due to the lack of stationarity of the environment, whose dynamics evolves as the population learns. In order to design scalable algorithms for systems…

最优化与控制 · 数学 2020-02-24 Romuald Elie , Julien Pérolat , Mathieu Laurière , Matthieu Geist , Olivier Pietquin

In this paper, we study a large population game with heterogeneous dynamics and cost functions solving a consensus problem. Moreover, the agents have communication constraints which appear as: (1) an Additive-White Gaussian Noise (AWGN)…

系统与控制 · 电气工程与系统科学 2022-08-26 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Tamer Başar

Entropy regularization has been extensively adopted to improve the efficiency, the stability, and the convergence of algorithms in reinforcement learning. This paper analyzes both quantitatively and qualitatively the impact of entropy…

最优化与控制 · 数学 2021-12-10 Xin Guo , Renyuan Xu , Thaleia Zariphopoulou

Mean-Field Control (MFC) has recently been proven to be a scalable tool to approximately solve large-scale multi-agent reinforcement learning (MARL) problems. However, these studies are typically limited to unconstrained cumulative reward…

机器学习 · 计算机科学 2024-09-11 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri