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We consider discrete-time stationary mean field games (MFG) with unknown dynamics and design algorithms for finding the equilibrium with finite-time complexity guarantees. Prior solutions to the problem assume either the contraction of a…

Optimization and Control · Mathematics 2025-02-13 Sihan Zeng , Sujay Bhatt , Alec Koppel , Sumitra Ganesh

Multiagent reinforcement learning algorithms have not been widely adopted in large scale environments with many agents as they often scale poorly with the number of agents. Using mean field theory to aggregate agents has been proposed as a…

Multiagent Systems · Computer Science 2022-04-14 Sriram Ganapathi Subramanian , Matthew E. Taylor , Mark Crowley , Pascal Poupart

Multitask Representation Learning (MRL) has emerged as a prevalent technique to improve sample efficiency in Reinforcement Learning (RL). Empirical studies have found that training agents on multiple tasks simultaneously within online and…

Machine Learning · Computer Science 2025-03-04 Rui Lu , Yang Yue , Andrew Zhao , Simon Du , Gao Huang

Multi-agent reinforcement learning methods have shown remarkable potential in solving complex multi-agent problems but mostly lack theoretical guarantees. Recently, mean field control and mean field games have been established as a…

Machine Learning · Computer Science 2021-12-20 Kai Cui , Anam Tahir , Mark Sinzger , Heinz Koeppl

Multi-objective reinforcement learning (MORL) is the generalization of standard reinforcement learning (RL) approaches to solve sequential decision making problems that consist of several, possibly conflicting, objectives. Generally, in…

Artificial Intelligence · Computer Science 2019-10-08 Xi Chen , Ali Ghadirzadeh , Mårten Björkman , Patric Jensfelt

We approach the continuous-time mean-variance (MV) portfolio selection with reinforcement learning (RL). The problem is to achieve the best tradeoff between exploration and exploitation, and is formulated as an entropy-regularized, relaxed…

Portfolio Management · Quantitative Finance 2019-05-07 Haoran Wang , Xun Yu Zhou

Reinforcement learning for multi-agent games has attracted lots of attention recently. However, given the challenge of solving Nash equilibria for large population games, existing works with guaranteed polynomial complexities either focus…

Optimization and Control · Mathematics 2025-09-04 Anran Hu , Junzi Zhang

Traditional multi-agent reinforcement learning algorithms are not scalable to environments with more than a few agents, since these algorithms are exponential in the number of agents. Recent research has introduced successful methods to…

Multiagent Systems · Computer Science 2021-01-26 Sriram Ganapathi Subramanian , Matthew E. Taylor , Mark Crowley , Pascal Poupart

This paper addresses a critical societal consideration in the application of Reinforcement Learning (RL): ensuring equitable outcomes across different demographic groups in multi-task settings. While previous work has explored fairness in…

Machine Learning · Computer Science 2025-03-12 Kefan Song , Runnan Jiang , Rohan Chandra , Shangtong Zhang

We investigate multi-agent imitation learning (IL) within the framework of mean field games (MFGs), considering the presence of time-varying correlated signals. Existing MFG IL algorithms assume demonstrations are sampled from Mean Field…

Multiagent Systems · Computer Science 2024-10-04 Zhiyu Zhao , Qirui Mi , Ning Yang , Xue Yan , Haifeng Zhang , Jun Wang , Yaodong Yang

In practical application, the pursuit-evasion game (PEG) often involves multiple complex and conflicting objectives. The single-objective reinforcement learning (RL) usually focuses on a single optimization objective, and it is difficult to…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Penglin Hu , Chunhui Zhao , Quan Pan

We study multi-task reinforcement learning (RL) in tabular episodic Markov decision processes (MDPs). We formulate a heterogeneous multi-player RL problem, in which a group of players concurrently face similar but not necessarily identical…

Machine Learning · Computer Science 2022-01-19 Chicheng Zhang , Zhi Wang

Reinforcement learning (RL) solves sequential decision-making problems via a trial-and-error process interacting with the environment. While RL achieves outstanding success in playing complex video games that allow huge trial-and-error,…

Machine Learning · Computer Science 2022-06-22 Fan-Ming Luo , Tian Xu , Hang Lai , Xiong-Hui Chen , Weinan Zhang , Yang Yu

We develop a mathematical framework for solving multi-task reinforcement learning (MTRL) problems based on a type of policy gradient method. The goal in MTRL is to learn a common policy that operates effectively in different environments;…

Machine Learning · Computer Science 2021-05-31 Sihan Zeng , Aqeel Anwar , Thinh Doan , Arijit Raychowdhury , Justin Romberg

We construct a semi-Lagrangian scheme for first-order, time-dependent, and non-local Mean Field Games. The convergence of the scheme to a weak solution of the system is analyzed by exploiting a key monotonicity property. To solve the…

Numerical Analysis · Mathematics 2026-05-12 Elisabetta Carlini , Valentina Coscetti

In this paper, we study two kinds of inverse problems for Mean Field Games (MFGs) with common noise. Our focus is on MFGs described by a coupled system of stochastic Hamilton-Jacobi-Bellman and Fokker-Planck equations. Firstly, we establish…

Analysis of PDEs · Mathematics 2024-12-12 Qi Lü , Zhonghua Liao

The growing literature of Federated Learning (FL) has recently inspired Federated Reinforcement Learning (FRL) to encourage multiple agents to federatively build a better decision-making policy without sharing raw trajectories. Despite its…

Machine Learning · Computer Science 2022-11-04 Flint Xiaofeng Fan , Yining Ma , Zhongxiang Dai , Wei Jing , Cheston Tan , Bryan Kian Hsiang Low

Quantum control is concerned with the realisation of desired dynamics in quantum systems, serving as a linchpin for advancing quantum technologies and fundamental research. Analytic approaches and standard optimisation algorithms do not…

Quantum Physics · Physics 2025-05-29 Jan Ole Ernst , Aniket Chatterjee , Tim Franzmeyer , Axel Kuhn

Reinforcement learning (RL) algorithms have demonstrated promising results on complex tasks, yet often require impractical numbers of samples since they learn from scratch. Meta-RL aims to address this challenge by leveraging experience…

Machine Learning · Computer Science 2020-10-28 Russell Mendonca , Abhishek Gupta , Rosen Kralev , Pieter Abbeel , Sergey Levine , Chelsea Finn

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
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