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Mean field games (MFG) and mean field control (MFC) are critical classes of multi-agent models for efficient analysis of massive populations of interacting agents. Their areas of application span topics in economics, finance, game theory,…

Machine Learning · Computer Science 2022-06-08 Lars Ruthotto , Stanley Osher , Wuchen Li , Levon Nurbekyan , Samy Wu Fung

We address planning and navigation in challenging 3D video games featuring maps with disconnected regions reachable by agents using special actions. In this setting, classical symbolic planners are not applicable or difficult to adapt. We…

Machine Learning · Computer Science 2021-12-23 Edward Beeching , Maxim Peter , Philippe Marcotte , Jilles Debangoye , Olivier Simonin , Joshua Romoff , Christian Wolf

MADDPG is an algorithm in multi-agent reinforcement learning (MARL) that extends the popular single-agent method, DDPG, to multi-agent scenarios. Importantly, DDPG is an algorithm designed for continuous action spaces, where the gradient of…

Machine Learning · Computer Science 2023-06-16 Callum Rhys Tilbury , Filippos Christianos , Stefano V. Albrecht

We study the generalized conditional gradient (GCG) method for time-dependent second-order mean field games (MFG) with local coupling terms. While explicit convergence rates of the GCG method were previously established only for globally…

Numerical Analysis · Mathematics 2026-01-27 Haruka Nakamura , Norikazu Saito

Mean-field game theory relies on approximating games that are intractable to model due to a very large to infinite population of players. While these kinds of games can be solved analytically via the associated system of partial…

Machine Learning · Computer Science 2026-04-16 Anna C. M. Thöni , Yoram Bachrach , Tal Kachman

Autonomous driving (AD) requires safe and reliable decision-making among interacting agents, e.g., vehicles, bicycles, and pedestrians. Multi-agent reinforcement learning (MARL) modeled by Markov games (MGs) provides a suitable framework to…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Huiwen Yan , Mushuang Liu

Stochastic games are a popular framework for studying multi-agent reinforcement learning (MARL). Recent advances in MARL have focused primarily on games with finitely many states. In this work, we study multi-agent learning in stochastic…

Machine Learning · Computer Science 2024-03-28 Awni Altabaa , Bora Yongacoglu , Serdar Yüksel

Mean-field control (MFC) offers a scalable solution to the curse of dimensionality in multi-agent systems but traditionally hinges on the restrictive assumption of exchangeability via dense, all-to-all interactions. In this work, we bridge…

Multiagent Systems · Computer Science 2026-01-30 Tobias Schmidt , Kai Cui

Multi-agent reinforcement learning has emerged as a powerful framework for enabling agents to learn complex, coordinated behaviors but faces persistent challenges regarding its generalization, scalability and sample efficiency. Recent…

Robotics · Computer Science 2025-04-28 Nikolaos Bousias , Stefanos Pertigkiozoglou , Kostas Daniilidis , George Pappas

In this paper we investigate a generalisation of a Boltzmann mean field game (BMFG) for knowledge growth, originally introduced by the economists Lucas and Moll. In BMFG the evolution of the agent density with respect to their knowledge…

Optimization and Control · Mathematics 2023-10-06 Martin Burger , Laura Kanzler , Marie-Therese Wolfram

Learning to cooperate is crucially important in multi-agent environments. The key is to understand the mutual interplay between agents. However, multi-agent environments are highly dynamic, where agents keep moving and their neighbors…

Machine Learning · Computer Science 2020-02-12 Jiechuan Jiang , Chen Dun , Tiejun Huang , Zongqing Lu

To model complex real-world systems, such as traders in stock markets, or the dissemination of contagious diseases, graphon mean-field games (GMFG) have been proposed to model many agents. Despite the empirical success, our understanding of…

Computer Science and Game Theory · Computer Science 2024-10-14 Jing Dong , Baoxiang Wang , Yaoliang Yu

This paper introduces the deep coordination graph (DCG) for collaborative multi-agent reinforcement learning. DCG strikes a flexible trade-off between representational capacity and generalization by factoring the joint value function of all…

Machine Learning · Computer Science 2020-06-24 Wendelin Böhmer , Vitaly Kurin , Shimon Whiteson

Mean Field Game (MFG) models implicitly assume "rational expectations", meaning that the heterogeneous agents being modeled correctly know all relevant transition probabilities for the complex system they inhabit. When there is common…

Analysis of PDEs · Mathematics 2026-02-26 Benjamin Moll , Lenya Ryzhik

Autocurricular training is an important sub-area of multi-agent reinforcement learning~(MARL) that allows multiple agents to learn emergent skills in an unsupervised co-evolving scheme. The robotics community has experimented autocurricular…

Artificial Intelligence · Computer Science 2023-05-09 Boling Yang , Liyuan Zheng , Lillian J. Ratliff , Byron Boots , Joshua R. Smith

Multi-agent reinforcement learning tasks put a high demand on the volume of training samples. Different from its single-agent counterpart, distributed value-based multi-agent reinforcement learning faces the unique challenges of demanding…

Machine Learning · Computer Science 2021-12-06 Siyang Wu , Tonghan Wang , Chenghao Li , Yang Hu , Chongjie Zhang

Over recent years, deep reinforcement learning has shown strong successes in complex single-agent tasks, and more recently this approach has also been applied to multi-agent domains. In this paper, we propose a novel approach, called…

Machine Learning · Computer Science 2020-12-18 Aleksandra Malysheva , Daniel Kudenko , Aleksei Shpilman

A central problem in the theory of multi-agent reinforcement learning (MARL) is to understand what structural conditions and algorithmic principles lead to sample-efficient learning guarantees, and how these considerations change as we move…

Machine Learning · Computer Science 2023-05-02 Dylan J. Foster , Dean P. Foster , Noah Golowich , Alexander Rakhlin

Action-dependent individual policies, which incorporate both environmental states and the actions of other agents in decision-making, have emerged as a promising paradigm for achieving global optimality in multi-agent reinforcement learning…

Machine Learning · Computer Science 2025-06-03 Jianglin Ding , Jingcheng Tang , Gangshan Jing

In this paper, linear quadratic mean field games (LQMFGs) under heterogeneous erroneous initial information are investigated, focusing on how to achieve error correction by calculation based on the agents' own actual state and interactions…

Optimization and Control · Mathematics 2025-04-08 Yuxin Jin , Lu Ren , Wang Yao , Xiao Zhang