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Multi-agent reinforcement learning is a challenging and active field of research due to the inherent nonstationary property and coupling between agents. A popular approach to modeling the multi-agent interactions underlying the multi-agent…

多智能体系统 · 计算机科学 2025-10-07 Jushan Chen , Santiago Paternain

Mean field games (MFGs) tractably model behavior in large agent populations. The literature on learning MFG equilibria typically focuses on finding Nash equilibria (NE), which assume perfectly rational agents and are hence implausible in…

计算机科学与博弈论 · 计算机科学 2025-01-31 Yannick Eich , Christian Fabian , Kai Cui , Heinz Koeppl

Entropy regularization has been extensively adopted to improve the efficiency, the stability, and the convergence of algorithms in reinforcement learning. This paper analyzes both quantitatively and qualitatively the impact of entropy…

最优化与控制 · 数学 2021-12-10 Xin Guo , Renyuan Xu , Thaleia Zariphopoulou

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…

机器学习 · 计算机科学 2022-01-19 Chicheng Zhang , Zhi Wang

Making sophisticated, robust, and safe sequential decisions is at the heart of intelligent systems. This is especially critical for planning in complex multi-agent environments, where agents need to anticipate other agents' intentions and…

机器人学 · 计算机科学 2020-01-29 Yichuan Charlie Tang

The Mean-Field approximation is a tractable approach for studying large population dynamics. However, its assumption on homogeneity and universal connections among all agents limits its applicability in many real-world scenarios.…

计算机科学与博弈论 · 计算机科学 2023-10-26 Peihan Huo , Oscar Peralta , Junyu Guo , Qiaomin Xie , Andreea Minca

Reinforcement learning (RL) has recently achieved tremendous successes in many artificial intelligence applications. Many of the forefront applications of RL involve multiple agents, e.g., playing chess and Go games, autonomous driving, and…

计算机科学与博弈论 · 计算机科学 2021-11-24 Asuman Ozdaglar , Muhammed O. Sayin , Kaiqing Zhang

Mean-field games (MFG) were introduced to efficiently analyze approximate Nash equilibria in large population settings. In this work, we consider entropy-regularized mean-field games with a finite state-action space in a discrete time…

计算机科学与博弈论 · 计算机科学 2022-07-26 Yue Guan , Mi Zhou , Ali Pakniyat , Panagiotis Tsiotras

Model-free deep reinforcement learning (RL) algorithms have been demonstrated on a range of challenging decision making and control tasks. However, these methods typically suffer from two major challenges: very high sample complexity and…

机器学习 · 计算机科学 2018-08-10 Tuomas Haarnoja , Aurick Zhou , Pieter Abbeel , Sergey Levine

This paper presents a general mean-field game (GMFG) framework for simultaneous learning and decision-making in stochastic games with a large population. It first establishes the existence of a unique Nash Equilibrium to this GMFG, and…

机器学习 · 计算机科学 2023-01-05 Xin Guo , Anran Hu , Renyuan Xu , Junzi Zhang

Scalability is the key roadstone towards the application of cooperative intelligent algorithms in large-scale networks. Reinforcement learning (RL) is known as model-free and high efficient intelligent algorithm for communication problems…

信号处理 · 电气工程与系统科学 2021-11-08 Fenghe Hu , Yansha Deng , A. Hamid Aghvami

This thesis is going to give a gentle introduction to Mean Field Games. It aims to produce a coherent text beginning for simple notions of deterministic control theory progressively to current Mean Field Games theory. The framework…

最优化与控制 · 数学 2019-07-03 Athanasios Vasiliadis

We investigate mean-field games (MFG) in which agents can actively control their speed of access to information. Specifically, the agents can dynamically decide to obtain observations with reduced delay by accepting higher observation…

最优化与控制 · 数学 2025-06-03 Dirk Becherer , Christoph Reisinger , Jonathan Tam

Efficiently learning equilibria with large state and action spaces in general-sum Markov games while overcoming the curse of multi-agency is a challenging problem. Recent works have attempted to solve this problem by employing independent…

机器学习 · 计算机科学 2024-03-21 Junyi Fan , Yuxuan Han , Jialin Zeng , Jian-Feng Cai , Yang Wang , Yang Xiang , Jiheng Zhang

We consider a multi-agent Markov strategic interaction over an infinite horizon where agents can be of multiple types. We model the strategic interaction as a mean-field game in the asymptotic limit when the number of agents of each type…

多智能体系统 · 计算机科学 2021-01-01 Arnob Ghosh , Vaneet Aggarwal

While multi-agent reinforcement learning (MARL) has produced numerous algorithms that converge to Nash or related equilibria, such equilibria are often non-unique and can exhibit widely varying efficiency. This raises a fundamental…

计算机科学与博弈论 · 计算机科学 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

While multi-agent reinforcement learning (MARL) has been proven effective across both collaborative and competitive tasks, existing algorithms often struggle to scale to large populations of agents. Recent advancements in mean-field (MF)…

多智能体系统 · 计算机科学 2026-02-16 Bhavini Jeloka , Yue Guan , Panagiotis Tsiotras

Stochastic games provide a framework for interactions among multiple agents and enable a myriad of applications. In these games, agents decide on actions simultaneously, the state of every agent moves to the next state, and each agent…

机器学习 · 计算机科学 2019-10-10 Mridul Agarwal , Vaneet Aggarwal , Arnob Ghosh , Nilay Tiwari

Mean-field games (MFGs) are a modeling framework for systems with a large number of interacting agents. They have applications in economics, finance, and game theory. Normalizing flows (NFs) are a family of deep generative models that…

最优化与控制 · 数学 2023-05-24 Han Huang , Jiajia Yu , Jie Chen , Rongjie Lai

Financial markets are often driven by latent factors which traders cannot observe. Here, we address an algorithmic trading problem with collections of heterogeneous agents who aim to perform optimal execution or statistical arbitrage, where…

数理金融 · 定量金融 2019-04-02 Philippe Casgrain , Sebastian Jaimungal