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Scalability remains a challenge in multi-agent reinforcement learning and is currently under active research. A framework named mean-field reinforcement learning (MFRL) could alleviate the scalability problem by employing the Mean Field…

Artificial Intelligence · Computer Science 2025-02-21 Hao Ma , Zhiqiang Pu , Yi Pan , Boyin Liu , Junlong Gao , Zhenyu Guo

Deep Reinforcement Learning has made significant progress in multi-agent systems in recent years. In this review article, we have focused on presenting recent approaches on Multi-Agent Reinforcement Learning (MARL) algorithms. In…

Machine Learning · Computer Science 2021-05-03 Afshin OroojlooyJadid , Davood Hajinezhad

We design and analyze reinforcement learning algorithms for Graphon Mean-Field Games (GMFGs). In contrast to previous works that require the precise values of the graphons, we aim to learn the Nash Equilibrium (NE) of the regularized GMFGs…

Computer Science and Game Theory · Computer Science 2023-10-27 Fengzhuo Zhang , Vincent Y. F. Tan , Zhaoran Wang , Zhuoran Yang

Mean Field Games (MFGs) have been introduced to efficiently approximate games with very large populations of strategic agents. Recently, the question of learning equilibria in MFGs has gained momentum, particularly using model-free…

Evaluating deep multiagent reinforcement learning (MARL) algorithms is complicated by stochasticity in training and sensitivity of agent performance to the behavior of other agents. We propose a meta-game evaluation framework for deep MARL,…

Multiagent Systems · Computer Science 2024-05-02 Zun Li , Michael P. Wellman

Game-theoretic resource allocation on graphs (GRAG) involves two players competing over multiple steps to control nodes of interest on a graph, a problem modeled as a multi-step Colonel Blotto Game (MCBG). Finding optimal strategies is…

Machine Learning · Computer Science 2025-05-13 Zijian An , Lifeng Zhou

The framework of Mean-field Games (MFGs) is used for modelling the collective dynamics of large populations of non-cooperative decision-making agents. We formulate and analyze a kinetic MFG model for an interacting system of non-cooperative…

Optimization and Control · Mathematics 2024-07-29 Piyush Grover , Mandy Huo

We present a new combined \textit{mean field control game} (MFCG) problem which can be interpreted as a competitive game between collaborating groups and its solution as a Nash equilibrium between groups. Players coordinate their strategies…

Optimization and Control · Mathematics 2023-02-16 Andrea Angiuli , Nils Detering , Jean-Pierre Fouque , Mathieu Lauriere , Jimin Lin

In this paper, we develop a multi-agent reinforcement learning (MARL) framework to obtain online power control policies for a large energy harvesting (EH) multiple access channel, when only causal information about the EH process and…

Machine Learning · Computer Science 2019-10-23 Mohit K. Sharma , Alessio Zappone , Mohamad Assaad , Merouane Debbah , Spyridon Vassilaras

Deep reinforcement learning provides a promising approach for text-based games in studying natural language communication between humans and artificial agents. However, the generalization still remains a big challenge as the agents depend…

Computation and Language · Computer Science 2021-09-22 Yunqiu Xu , Meng Fang , Ling Chen , Yali Du , Chengqi Zhang

Mean Field Control (MFC) is a powerful approximation tool to solve large-scale Multi-Agent Reinforcement Learning (MARL) problems. However, the success of MFC relies on the presumption that given the local states and actions of all the…

Machine Learning · Computer Science 2023-05-30 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

Mean field theory provides an effective way of scaling multiagent reinforcement learning algorithms to environments with many agents that can be abstracted by a virtual mean agent. In this paper, we extend mean field multiagent algorithms…

Multiagent Systems · Computer Science 2022-06-22 Sriram Ganapathi Subramanian , Pascal Poupart , Matthew E. Taylor , Nidhi Hegde

Multi-agent pathfinding (MAPF) is a critical field in many large-scale robotic applications, often being the fundamental step in multi-agent systems. The increasing complexity of MAPF in complex and crowded environments, however, critically…

Artificial Intelligence · Computer Science 2024-02-09 Jaehoon Chung , Jamil Fayyad , Younes Al Younes , Homayoun Najjaran

Multi-agent reinforcement learning (MARL) provides an efficient way for simultaneously learning policies for multiple agents interacting with each other. However, in scenarios requiring complex interactions, existing algorithms can suffer…

Machine Learning · Computer Science 2022-03-08 Xiaobai Ma , David Isele , Jayesh K. Gupta , Kikuo Fujimura , Mykel J. Kochenderfer

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)…

Machine Learning · Computer Science 2021-10-04 Haotian Gu , Xin Guo , Xiaoli Wei , Renyuan Xu

In graph-structured multi-agent reinforcement learning (MARL) adversarial tasks such as pursuit and confrontation, agents must coordinate under highly dynamic interactions, where sparse rewards hinder efficient policy learning. We propose…

Machine Learning · Computer Science 2025-11-12 Ruochuan Shi , Runyu Lu , Yuanheng Zhu , Dongbin Zhao

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…

Optimization and Control · Mathematics 2018-10-30 Alain Bensoussan , Tao Huang , Mathieu Laurière

Markov games (MGs) and multi-agent reinforcement learning (MARL) are studied to model decision making in multi-agent systems. Traditionally, the objective in MG and MARL has been risk-neutral, i.e., agents are assumed to optimize a…

Computer Science and Game Theory · Computer Science 2024-06-11 Hafez Ghaemi , Shirin Jamshidi , Mohammad Mashreghi , Majid Nili Ahmadabadi , Hamed Kebriaei

Finite-state mean-field games (MFGs) arise as limits of large interacting particle systems and are governed by an MFG system, a coupled forward-backward differential equation consisting of a forward Kolmogorov-Fokker-Planck (KFP) equation…

Optimization and Control · Mathematics 2026-02-16 William Hofgard , Asaf Cohen , Mathieu Laurière

Cooperative Multi-Agent Reinforcement Learning (MARL) necessitates seamless collaboration among agents, often represented by an underlying relation graph. Existing methods for learning this graph primarily focus on agent-pair relations,…

Machine Learning · Computer Science 2026-04-13 Wei Duan , Jie Lu , Junyu Xuan
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