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This paper studies the discrete-time linear-quadratic-Gaussian mean field (MF) social control problem in an infinite horizon, where the dynamics of all agents are unknown. The objective is to design a reinforcement learning (RL) algorithm…

Optimization and Control · Mathematics 2025-12-05 Hanfang Zhang , Bing-Chang Wang , Shuo Chen

Here, we examine a mean-field game (MFG) that models the economic growth of a population of non-cooperative rational agents. In this MFG, agents are described by two state variables - the capital and consumer goods they own. Each agent…

Analysis of PDEs · Mathematics 2019-07-26 Diogo Gomes , Laurent Lafleche , Levon Nurbekyan

We discuss the problem of decentralized multi-agent reinforcement learning (MARL) in this work. In our setting, the global state, action, and reward are assumed to be fully observable, while the local policy is protected as privacy by each…

Multiagent Systems · Computer Science 2021-11-02 Kuo Li , Qing-Shan Jia

We introduce a novel framework to model and solve mean-field game systems with nonlocal interactions. Our approach relies on kernel-based representations of mean-field interactions and feature-space expansions in the spirit of kernel…

Optimization and Control · Mathematics 2020-04-29 Siting Liu , Matthew Jacobs , Wuchen Li , Levon Nurbekyan , Stanley J. Osher

Entropy regularization is a popular method in reinforcement learning (RL). Although it has many advantages, it alters the RL objective of the original Markov Decision Process (MDP). Though divergence regularization has been proposed to…

Machine Learning · Computer Science 2022-06-22 Kefan Su , Zongqing Lu

Existing distributed cooperative multi-agent reinforcement learning (MARL) frameworks usually assume undirected coordination graphs and communication graphs while estimating a global reward via consensus algorithms for policy evaluation.…

Multiagent Systems · Computer Science 2022-01-14 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty , Piyush. K. Sharma

Mean Field Games (MFG) provide a theoretical frame to model socio-economic systems. In this letter, we study a particular class of MFG which shows strong analogies with the {\em non-linear Schr\"odinger and Gross-Pitaevski equations}…

Physics and Society · Physics 2016-03-30 Igor Swiecicki , Thierry Gobron , Denis Ullmo

Coordinating actions is the most fundamental form of cooperation in multi-agent reinforcement learning (MARL). Successful decentralized decision-making often depends not only on good individual actions, but on selecting compatible actions…

Machine Learning · Computer Science 2026-02-24 Nikunj Gupta , James Zachary Hare , Jesse Milzman , Rajgopal Kannan , Viktor Prasanna

We consider the problem setting in which multiple autonomous agents must cooperatively navigate and perform tasks in an unknown, communication-constrained environment. Traditional multi-agent reinforcement learning (MARL) approaches assume…

Multiagent Systems · Computer Science 2026-05-20 Sydney Dolan , Siddharth Nayak , Jasmine Jerry Aloor , Hamsa Balakrishnan

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…

Multiagent Systems · Computer Science 2020-12-16 Yaodong Yang , Rui Luo , Minne Li , Ming Zhou , Weinan Zhang , Jun Wang

The intersection of Mean Field Games (MFGs) and Reinforcement Learning (RL) has fostered a growing family of algorithms designed to solve large-scale multi-agent systems. However, the field currently lacks a standardized evaluation…

Machine Learning · Computer Science 2026-02-16 Lorenzo Magnino , Jiacheng Shen , Matthieu Geist , Olivier Pietquin , Mathieu Laurière

Few multi-agent reinforcement learning (MARL) research on Google Research Football (GRF) focus on the 11v11 multi-agent full-game scenario and to the best of our knowledge, no open benchmark on this scenario has been released to the public.…

Machine Learning · Computer Science 2024-02-21 Yan Song , He Jiang , Zheng Tian , Haifeng Zhang , Yingping Zhang , Jiangcheng Zhu , Zonghong Dai , Weinan Zhang , Jun Wang

Multi-agent reinforcement learning (MARL) has been increasingly explored to learn the cooperative policy towards maximizing a certain global reward. Many existing studies take advantage of graph neural networks (GNN) in MARL to propagate…

Machine Learning · Computer Science 2020-12-25 Wenlei Shi , Xinran Wei , Jia Zhang , Xiaoyuan Ni , Arthur Jiang , Jiang Bian , Tie-Yan Liu

Identification and analysis of symmetrical patterns in the natural world have led to significant discoveries across various scientific fields, such as the formulation of gravitational laws in physics and advancements in the study of…

Multiagent Systems · Computer Science 2024-05-28 Dingyang Chen , Qi Zhang

Multi-task multi-agent reinforcement learning (MT-MARL) has recently gained attention for its potential to enhance MARL's adaptability across multiple tasks. However, it is challenging for existing multi-task learning methods to handle…

Robotics · Computer Science 2025-07-10 Guobin Zhu , Rui Zhou , Wenkang Ji , Hongyin Zhang , Donglin Wang , Shiyu Zhao

There are several real-world tasks that would benefit from applying multiagent reinforcement learning (MARL) algorithms, including the coordination among self-driving cars. The real world has challenging conditions for multiagent learning…

Multiagent Systems · Computer Science 2020-02-19 Rose E. Wang , Michael Everett , Jonathan P. How

Agent-based models (ABMs) have shown promise for modelling various real world phenomena incompatible with traditional equilibrium analysis. However, a critical concern is the manual definition of behavioural rules in ABMs. Recent…

Multiagent Systems · Computer Science 2024-02-02 Benjamin Patrick Evans , Sumitra Ganesh

Gaussian Markov random fields (GMRFs) are probabilistic graphical models widely used in spatial statistics and related fields to model dependencies over spatial structures. We establish a formal connection between GMRFs and convolutional…

Machine Learning · Statistics 2020-08-11 Per Sidén , Fredrik Lindsten

In fully cooperative multi-agent reinforcement learning (MARL) settings, environments are highly stochastic due to the partial observability of each agent and the continuously changing policies of other agents. To address the above issues,…

Multiagent Systems · Computer Science 2023-06-06 Wei-Fang Sun , Cheng-Kuang Lee , Simon See , Chun-Yi Lee

Designing efficient algorithms for multi-agent reinforcement learning (MARL) is fundamentally challenging because the size of the joint state and action spaces grows exponentially in the number of agents. These difficulties are exacerbated…

Machine Learning · Computer Science 2025-10-27 Emile Anand , Ishani Karmarkar , Guannan Qu
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