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相关论文: Embedded Mean Field Reinforcement Learning for Per…

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We study a decentralized version of Moving Agents in Formation (MAiF), a variant of Multi-Agent Path Finding aiming to plan collision-free paths for multiple agents with the dual objectives of reaching their goals quickly while maintaining…

机器人学 · 计算机科学 2024-10-17 Qiushi Lin , Hang Ma

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…

机器学习 · 计算机科学 2026-04-16 Anna C. M. Thöni , Yoram Bachrach , Tal Kachman

In ultra-dense unmanned aerial vehicle (UAV) networks, it is challenging to coordinate the resource allocation and interference management among large-scale UAVs, for providing flexible and efficient service coverage to the ground users…

系统与控制 · 电气工程与系统科学 2024-11-22 Fei Song , Zhe Wang , Jun Li , Long Shi , Wen Chen , Shi Jin

We consider a class of linear-quadratic-Gaussian mean-field games with a major agent and considerable heterogeneous minor agents in the presence of mean-field interactions. The individual admissible controls are constrained in closed convex…

最优化与控制 · 数学 2017-10-10 Ying Hu , Jianhui Huang , Tianyang Nie

We propose the Mean-Field Actor-Critic (MFAC) flow, a continuous-time learning dynamics for solving mean-field games (MFGs), combining techniques from reinforcement learning and optimal transport. The MFAC framework jointly evolves the…

最优化与控制 · 数学 2025-10-27 Mo Zhou , Haosheng Zhou , Ruimeng Hu

In this paper, we address the resource provisioning problem for service function chaining (SFC) in terms of the placement and chaining of virtual network functions (VNFs) within a multi-access edge computing (MEC) infrastructure to reduce…

网络与互联网体系结构 · 计算机科学 2022-01-31 Amine Abouaomar , Soumaya Cherkaoui , Zoubeir Mlika , Abdellatif Kobbane

The designs of many large-scale systems today, from traffic routing environments to smart grids, rely on game-theoretic equilibrium concepts. However, as the size of an $N$-player game typically grows exponentially with $N$, standard game…

The mean-field framework has been used to find approximate solutions to problems involving very large populations of symmetric, anonymous agents, which may be intractable by other methods. The cooperative mean-field control (MFC) problem…

多智能体系统 · 计算机科学 2025-12-23 Patrick Benjamin , Alessandro Abate

This paper introduces a novel framework for modeling interacting humans in a multi-stage game. This "iterated semi network-form game" framework has the following desirable characteristics: (1) Bounded rational players, (2) strategic players…

多智能体系统 · 计算机科学 2012-07-05 Ritchie Lee , David H. Wolpert , James Bono , Scott Backhaus , Russell Bent , Brendan Tracey

Multi-agent reinforcement learning, despite its popularity and empirical success, faces significant scalability challenges in large-population dynamic games. Graphon mean field games (GMFGs) offer a principled framework for approximating…

最优化与控制 · 数学 2025-06-09 Philipp Plank , Yufei Zhang

In this paper, a novel decentralized intelligent adaptive optimal strategy has been developed to solve the pursuit-evasion game for massive Multi-Agent Systems (MAS) under uncertain environment. Existing strategies for pursuit-evasion games…

系统与控制 · 电气工程与系统科学 2020-08-10 Zejian Zhou , Hao Xu

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…

最优化与控制 · 数学 2023-02-16 Andrea Angiuli , Nils Detering , Jean-Pierre Fouque , Mathieu Lauriere , Jimin Lin

This work presents a Hierarchical Multi-Agent Reinforcement Learning framework for analyzing simulated air combat scenarios involving heterogeneous agents. The objective is to identify effective Courses of Action that lead to mission…

Mean field games (MFGs) have emerged as a powerful framework for modeling interactions in large-scale multi-agent systems. Despite recent advancements in reinforcement learning (RL) for MFGs, existing methods are typically limited to finite…

机器学习 · 计算机科学 2025-10-28 Lorenzo Magnino , Kai Shao , Zida Wu , Jiacheng Shen , Mathieu Laurière

Methods like multi-agent reinforcement learning struggle to scale with growing population size. Mean-field games (MFGs) are a game-theoretic approach that can circumvent this by finding a solution for an abstract infinite population, which…

多智能体系统 · 计算机科学 2025-12-23 Patrick Benjamin , Alessandro Abate

We investigate how the framework of mean-field games may be used to investigate strategic interactions in large heterogeneous populations. We consider strategic interactions in a population of players which may be partitioned into…

最优化与控制 · 数学 2025-02-19 Rama Cont , Anran Hu

We investigate reinforcement learning in the setting of Markov decision processes for a large number of exchangeable agents interacting in a mean field manner. Applications include, for example, the control of a large number of robots…

最优化与控制 · 数学 2025-04-30 René Carmona , Mathieu Laurière , Zongjun Tan

In this book, we present a curated collection of existing results on inverse problems for Mean Field Games (MFGs), a cutting-edge and rapidly evolving field of research. Our aim is to provide fresh insights, novel perspectives, and a…

偏微分方程分析 · 数学 2025-03-20 Hongyu Liu , Catharine W. K. Lo , Shen Zhang

In this paper, we consider a finite horizon, non-stationary, mean field games (MFG) with a large population of homogeneous players, sequentially making strategic decisions, where each player is affected by other players through an aggregate…

系统与控制 · 电气工程与系统科学 2020-04-07 Rajesh K Mishra , Deepanshu Vasal , Sriram Vishwanath

Non-cooperative and cooperative games with a very large number of players have many applications but remain generally intractable when the number of players increases. Introduced by Lasry and Lions, and Huang, Caines and Malham\'e, Mean…