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Mean Field Control Games (MFCG), introduced in [Angiuli et al., 2022a], represent competitive games between a large number of large collaborative groups of agents in the infinite limit of number and size of groups. In this paper, we prove…

Optimization and Control · Mathematics 2024-06-05 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Laurière , Mengrui Zhang

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

Deep Reinforcement Learning (DRL) has been applied to address a variety of cooperative multi-agent problems with either discrete action spaces or continuous action spaces. However, to the best of our knowledge, no previous work has ever…

Machine Learning · Computer Science 2019-06-04 Haotian Fu , Hongyao Tang , Jianye Hao , Zihan Lei , Yingfeng Chen , Changjie Fan

Mean-field games (MFG) have become significant tools for solving large-scale multi-agent reinforcement learning problems under symmetry. However, the assumption of exact symmetry limits the applicability of MFGs, as real-world scenarios…

Computer Science and Game Theory · Computer Science 2024-08-28 Batuhan Yardim , Niao He

General game testing relies on the use of human play testers, play test scripting, and prior knowledge of areas of interest to produce relevant test data. Using deep reinforcement learning (DRL), we introduce a self-learning mechanism to…

Machine Learning · Computer Science 2021-03-31 Joakim Bergdahl , Camilo Gordillo , Konrad Tollmar , Linus Gisslén

Reinforcement Learning (RL) is increasingly applied to large-scale decision-making problems like logistics, scheduling, and recommender systems, but existing algorithms struggle with the curse of dimensionality in such large discrete action…

Machine Learning · Computer Science 2026-05-12 Heiko Hoppe , Fabian Akkerman , Wouter van Heeswijk , Maximilian Schiffer

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

Recent deep reinforcement learning (DRL) successes rely on end-to-end learning from fixed-size observational inputs (e.g. image, state-variables). However, many challenging and interesting problems in decision making involve observations or…

Machine Learning · Computer Science 2022-06-08 Vince Jankovics , Michael Garcia Ortiz , Eduardo Alonso

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

The recent breakthroughs of deep reinforcement learning (DRL) technique in Alpha Go and playing Atari have set a good example in handling large state and actions spaces of complicated control problems. The DRL technique is comprised of (i)…

Artificial Intelligence · Computer Science 2017-10-12 Hongjia Li , Tianshu Wei , Ao Ren , Qi Zhu , Yanzhi Wang

We address in this paper Reinforcement Learning (RL) among agents that are grouped into teams such that there is cooperation within each team but general-sum (non-zero sum) competition across different teams. To develop an RL method that…

Machine Learning · Computer Science 2025-02-11 Muhammad Aneeq uz Zaman , Alec Koppel , Mathieu Laurière , Tamer Başar

Reinforcement learning (RL) algorithms find applications in inventory control, recommender systems, vehicular traffic management, cloud computing and robotics. The real-world complications of many tasks arising in these domains makes them…

Machine Learning · Computer Science 2021-06-03 Sindhu Padakandla

Over the past decades, researchers have been pushing the limits of Deep Reinforcement Learning (DRL). Although DRL has attracted substantial interest from practitioners, many are blocked by having to search through a plethora of available…

Mathematical Finance · Quantitative Finance 2023-10-05 Sophia Gu

We establish the convergence of the unified two-timescale Reinforcement Learning (RL) algorithm presented in a previous work by Angiuli et al. This algorithm provides solutions to Mean Field Game (MFG) or Mean Field Control (MFC) problems…

Optimization and Control · Mathematics 2024-05-02 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Laurière , Mengrui Zhang

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

We introduce a deep reinforcement learning (DRL) approach for solving management problems including inventory management, dynamic pricing, and recommendation. This DRL approach has the potential to lead to a large management model based on…

Artificial Intelligence · Computer Science 2024-03-04 Jinyang Jiang , Xiaotian Liu , Tao Ren , Qinghao Wang , Yi Zheng , Yufu Du , Yijie Peng , Cheng Zhang

Macroeconomic outcomes emerge from individuals' decisions, making it essential to model how agents interact with macro policy via consumption, investment, and labor choices. We formulate this as a dynamic Stackelberg game: the government…

Theoretical Economics · Economics 2025-06-03 Qirui Mi , Zhiyu Zhao , Chengdong Ma , Siyu Xia , Yan Song , Mengyue Yang , Jun Wang , Haifeng Zhang

With the development of deep representation learning, the domain of reinforcement learning (RL) has become a powerful learning framework now capable of learning complex policies in high dimensional environments. This review summarises deep…

Machine Learning · Computer Science 2021-01-26 B Ravi Kiran , Ibrahim Sobh , Victor Talpaert , Patrick Mannion , Ahmad A. Al Sallab , Senthil Yogamani , Patrick Pérez

As a form of artificial intelligence (AI) technology based on interactive learning, deep reinforcement learning (DRL) has been widely applied across various fields and has achieved remarkable accomplishments. However, DRL faces certain…

Machine Learning · Computer Science 2025-02-18 Geng Sun , Wenwen Xie , Dusit Niyato , Fang Mei , Jiawen Kang , Hongyang Du , Shiwen Mao

Increasingly complex, non-linear World-Earth system models are used for describing the dynamics of the biophysical Earth system and the socio-economic and socio-cultural World of human societies and their interactions. Identifying pathways…

Physics and Society · Physics 2020-09-16 Felix M. Strnad , Wolfram Barfuss , Jonathan F. Donges , Jobst Heitzig