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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

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

In this paper, we consider discrete-time dynamic games of the mean-field type with a finite number $N$ of agents subject to an infinite-horizon discounted-cost optimality criterion. The state space of each agent is a locally compact Polish…

系统与控制 · 计算机科学 2017-01-17 Naci Saldi , Tamer Başar , Maxim Raginsky

Securely and efficiently procuring energy balancing services in distribution networks remains challenging, especially within a privacy-preserving environment. This paper proposes a network-constrained demand response game, i.e., a…

系统与控制 · 电气工程与系统科学 2024-08-14 Xiupeng Chen , Koorosh Shomalzadeh , Jacquelien M. A. Scherpen , Nima Monshizadeh

In this paper, we consider microgrids that interconnect prosumers with distributed energy resources and dynamic loads. Prosumers are connected through the microgrid to trade energy and gain profit while respecting the network constraints.…

系统与控制 · 电气工程与系统科学 2024-02-07 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

Demand side management (DSM) is a key solution for reducing the peak-time power consumption in smart grids. To provide incentives for consumers to shift their consumption to off-peak times, the utility company charges consumers differential…

系统与控制 · 计算机科学 2013-11-11 Linqi Song , Yuanzhang Xiao , Mihaela van der Schaar

This paper studies the connection between a class of mean-field games and a social welfare optimization problem. We consider a mean-field game in function spaces with a large population of agents, and each agent seeks to minimize an…

最优化与控制 · 数学 2018-02-15 Sen Li , Wei Zhang , Lin Zhao

Here, a novel energy trading system is proposed for demand-side management of a neighborhood area network (NAN) consisting of a shared energy storage (SES) provider, users with non-dispatchable energy generation, and an electricity…

系统与控制 · 电气工程与系统科学 2020-08-25 Chathurika P. Mediwaththe , Marnie Shaw , Saman Halgamuge , David B. Smith , Paul Scott

Empirically derived continuum models of collective behavior among large populations of dynamic agents are a subject of intense study in several fields, including biology, engineering and finance. We formulate and study a mean-field game…

适应与自组织系统 · 物理学 2018-06-22 Piyush Grover , Kaivalya Bakshi , Evangelos A. Theodorou

This paper investigates cell-free massive multiple input multiple output systems with a particular focus on uplink power allocation. In these systems, uplink power control is highly non-trivial, since a single user terminal is associated…

信号处理 · 电气工程与系统科学 2022-12-29 Juno V. Saraiva , Roberto P. Antonioli , Gábor Fodor , Walter C. Freitas , Yuri C. B. Silva

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

最优化与控制 · 数学 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

Microgrids (MG) are anticipated to be important players in the future smart grid. For proper operation of MGs an Energy Management System (EMS) is essential. The EMS of an MG could be rather complicated when renewable energy resources…

系统与控制 · 电气工程与系统科学 2021-03-09 Hao Zhou , Melike Erol-Kantarci

The cost of the power distribution infrastructures is driven by the peak power encountered in the system. Therefore, the distribution network operators consider billing consumers behind a common transformer in the function of their peak…

系统与控制 · 电气工程与系统科学 2022-04-01 Wenqi Cai , Hossein N. Esfahani , Arash B. Kordabad , Sébastien Gros

We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her speed (control) to an average speed (the average is made in…

偏微分方程分析 · 数学 2020-03-10 Y Achdou , Z Kobeissi

Financial markets and more generally macro-economic models involve a large number of individuals interacting through variables such as prices resulting from the aggregate behavior of all the agents. Mean field games have been introduced to…

最优化与控制 · 数学 2021-07-12 René Carmona , Mathieu Laurière

In this paper, we consider discrete-time partially observed mean-field games with the risk-sensitive optimality criterion. We introduce risk-sensitivity behaviour for each agent via an exponential utility function. In the game model, each…

系统与控制 · 电气工程与系统科学 2022-11-11 Naci Saldi , Tamer Basar , Maxim Raginsky

Coordinating communication and control is a key component in the stability and performance of networked multi-agent systems. While single user networked control systems have gained a lot of attention within this domain, in this work, we…

最优化与控制 · 数学 2025-06-25 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Melih Bastopcu , Tamer Başar

We consider the problem of optimal charging of plug-in electric vehicles (PEVs). We treat this problem as a multi-agent game, where vehicles/agents are heterogeneous since they are subject to possibly different constraints. Under the…

最优化与控制 · 数学 2018-10-18 Luca Deori , Kostas Margellos , Maria Prandini

Establishing the existence of Nash equilibria for partially observed stochastic dynamic games is known to be quite challenging, with the difficulties stemming from the noisy nature of the measurements available to individual players…

系统与控制 · 计算机科学 2018-06-06 Naci Saldi , Tamer Basar , Maxim Raginsky

We study equilibria in an Electric Vehicle (EV) charging game, a cost minimization game inherent to decentralized charging control strategy for EV power demand management. In our model, each user optimizes its total cost which is sum of…

理论经济学 · 经济学 2022-12-13 Trivikram Dokka , Jorge Bruno , Sonali SenGupta , Chowdhury Mohammad Sakib Anwar