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Multi-agent systems (MAS) are widely prevalent and crucially important in numerous real-world applications, where multiple agents must make decisions to achieve their objectives in a shared environment. Despite their ubiquity, the…

Multiagent Systems · Computer Science 2024-07-04 Dom Huh , Prasant Mohapatra

This paper investigates a novel class of mean field games involving a major agent and numerous minor agents, where the agents' functionals are recursive with nonlinear backward stochastic differential equation (BSDE) representations. We…

Optimization and Control · Mathematics 2024-12-17 Jianhui Huang , Wenqiang Li , Harry Zheng

We consider online reinforcement learning in Mean-Field Games (MFGs). Unlike traditional approaches, we alleviate the need for a mean-field oracle by developing an algorithm that approximates the Mean-Field Equilibrium (MFE) using the…

Machine Learning · Computer Science 2023-04-12 Muhammad Aneeq uz Zaman , Alec Koppel , Sujay Bhatt , Tamer Başar

We study policy optimization in Stackelberg mean field games (MFGs), a hierarchical framework for modeling the strategic interaction between a single leader and an infinitely large population of homogeneous followers. The objective can be…

Machine Learning · Computer Science 2025-11-27 Sihan Zeng , Benjamin Patrick Evans , Sujay Bhatt , Leo Ardon , Sumitra Ganesh , Alec Koppel

Mean-field games (MFG) provide a statistical physics inspired modeling framework for decision making in large-populations of strategic, non-cooperative agents. Mathematically, these systems consist of a forward-backward in time system of…

Dynamical Systems · Mathematics 2024-05-10 Ali Akbar Rezaei Lori , Piyush Grover

Multi-agent settings remain a fundamental challenge in the reinforcement learning (RL) domain due to the partial observability and the lack of accurate real-time interactions across agents. In this paper, we propose a new method based on…

Machine Learning · Computer Science 2023-01-03 Donghan Xie , Zhi Wang , Chunlin Chen , Daoyi Dong

Recent renewed interest in multi-agent reinforcement learning (MARL) has generated an impressive array of techniques that leverage deep reinforcement learning, primarily actor-critic architectures, and can be applied to a limited range of…

Machine Learning · Computer Science 2021-06-21 Keyang He , Prashant Doshi , Bikramjit Banerjee

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…

Optimization and Control · Mathematics 2021-02-02 Kiyeob Lee , Desik Rengarajan , Dileep Kalathil , Srinivas Shakkottai

While research of reinforcement learning applied to financial markets predominantly concentrates on finding optimal behaviours, it is worth to realize that the reinforcement learning returns $G_t$ and state value functions themselves are of…

Statistical Finance · Quantitative Finance 2024-05-21 Colin D. Grab

This paper aims to mitigate straggler effects in synchronous distributed learning for multi-agent reinforcement learning (MARL) problems. Stragglers arise frequently in a distributed learning system, due to the existence of various system…

Machine Learning · Computer Science 2021-01-08 Baoqian Wang , Junfei Xie , Nikolay Atanasov

Since the advent of autonomous driving technology, it has experienced remarkable progress over the last decade. However, most existing research still struggles to address the challenges posed by environments where multiple vehicles have to…

Multiagent Systems · Computer Science 2025-08-01 Jing Wang , Yan Jin , Fei Ding , Chongfeng Wei

This paper investigates mean field games and control on sparse networks. In the case of large expander graphs, the limit topologies are analyzed using the graphexon framework, which characterizes both dense network limits and sparse…

Optimization and Control · Mathematics 2026-04-16 Tao Zhang , Peter E. Caines

We introduce the concept of a \emph{cycle pattern} for directed graphs as functions from the set of cycles to the set $\{-,0,+\}$. The key example for such a pattern is derived from a weight function, giving rise to the sign of the total…

Computer Science and Game Theory · Computer Science 2025-03-25 Georg Loho , Matthew Maat , Mateusz Skomra

Even though Google Research Football (GRF) was initially benchmarked and studied as a single-agent environment in its original paper, recent years have witnessed an increasing focus on its multi-agent nature by researchers utilizing it as a…

Multiagent Systems · Computer Science 2023-09-25 Yan Song , He Jiang , Haifeng Zhang , Zheng Tian , Weinan Zhang , Jun Wang

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

Strongly Correlated Electrons · Physics 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

Standard multi-agent reinforcement learning (MARL) algorithms are vulnerable to sim-to-real gaps. To address this, distributionally robust Markov games (RMGs) have been proposed to enhance robustness in MARL by optimizing the worst-case…

Machine Learning · Computer Science 2025-02-03 Laixi Shi , Jingchu Gai , Eric Mazumdar , Yuejie Chi , Adam Wierman

Mean field control (MFC) is an effective way to mitigate the curse of dimensionality of cooperative multi-agent reinforcement learning (MARL) problems. This work considers a collection of $N_{\mathrm{pop}}$ heterogeneous agents that can be…

Machine Learning · Computer Science 2022-05-10 Washim Uddin Mondal , Mridul Agarwal , Vaneet Aggarwal , Satish V. Ukkusuri

Large Language Models (LLMs) increasingly rely on agentic capabilities-iterative retrieval, tool use, and decision-making-to overcome the limits of static, parametric knowledge. Yet existing agentic frameworks treat external information as…

Computation and Language · Computer Science 2026-04-24 Yuanfu Sun , Kang Li , Dongzhe Fan , Jiajin Liu , Qiaoyu Tan

Recent progress in Large Language Models (LLMs) and language agents has demonstrated significant promise for various future applications across multiple disciplines. While traditional approaches to language agents often rely on fixed,…

Computation and Language · Computer Science 2024-06-18 Lukas Vierling , Jie Fu , Kai Chen

We propose an efficient solution approach for high-dimensional nonlocal mean-field game (MFG) systems based on the Monte Carlo approximation of interaction kernels via random features. We avoid costly space-discretizations of interaction…

Numerical Analysis · Mathematics 2022-07-26 Sudhanshu Agrawal , Wonjun Lee , Samy Wu Fung , Levon Nurbekyan