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Related papers: Electrical Vehicles in the Smart Grid: A Mean Fiel…

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Electric vehicles (EVs) are considered as sustainable alternatives to conventional vehicles, as they reduce emission and fossil fuel dependency. A recent study has proposed a charging infrastructure planning tool to support intercity trips…

Numerical Analysis · Mathematics 2021-05-25 Mohammadreza Kavianipour , Hamid Mozafari , Mehrnaz Ghamami , Ali Zockaie , Robert Jackson

We address a multi-class traffic model, for which we computationally assess the ability of mean-field games (MFGs) to yield approximate Nash equilibria for traffic flow games of intractable large finite-players. We introduce ad hoc…

Optimization and Control · Mathematics 2025-03-28 Amal Machtalay , Abderrahmane Habbal , Ahmed Ratnani , Imad Kissami

The rapid development and deployment of vehicle technologies offer opportunities to re-think the way traffic is managed. This paper capitalizes on vehicle connectivity and proposes an economic instrument and corresponding cooperative…

Systems and Control · Electrical Eng. & Systems 2022-08-02 DianChao Lin , Saif Eddin Jabari

Here, we introduce a price-formation model where a large number of small players can store and trade electricity. Our model is a constrained mean-field game (MFG) where the price is a Lagrange multiplier for the supply vs. demand balance…

Analysis of PDEs · Mathematics 2018-07-20 Diogo Gomes , João Saúde

The nexus between transportation, the power grid, and consumer behavior is more pronounced than ever before as the race to decarbonize the transportation sector intensifies. Electrification in the transportation sector has led to technology…

Machine Learning · Computer Science 2021-08-10 Robert Buechler , Emmanuel Balogun , Arun Majumdar , Ram Rajagopal

This letter proposes a routing framework in mixed transportation systems for improving mobility equity. We present a strategic routing game that governs interactions between compliant and noncompliant vehicles, where noncompliant vehicles…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Heeseung Bang , Aditya Dave , Andreas A. Malikopoulos

The presence of uncertainties in the ride-hailing market complicates the pricing strategies of on-demand platforms that compete each other to offer a mobility service while striving to maximize their profit. Looking at this problem as a…

Optimization and Control · Mathematics 2022-03-30 Filippo Fabiani , Barbara Franci

This work tackles the problem of energy-efficient distributed power control in wireless networks with a large number of transmitters. The problem is modeled by a dynamic game. Each transmitter-receiver communication is characterized by a…

Information Theory · Computer Science 2013-01-30 François Mériaux , Vineeth Varma , Samson Lasaulce

Battery electric vehicles are rapidly entering the market. Their success offers great opportunities for the decarbonization of the transport sector, but also pose new challenges to energy infrastructures. Public charging stations must be…

Physics and Society · Physics 2020-02-21 Thiemo Pesch , Hans-Josef Allelein Dirk Müller , Dirk Witthaut

Mean field games are limit models for symmetric $N$-player games with interaction of mean field type as $N\to\infty$. The limit relation is often understood in the sense that a solution of a mean field game allows to construct approximate…

Probability · Mathematics 2017-05-29 Markus Fischer

The development of electric and connected vehicles as well as automated driving technologies are key towards the smart city, with convenient urban mobility and high energy economy performance. However, the global rise in electricity price…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Kai Tang , Weijie Wang , Xiao Pan , Boli Chen , Simos A. Evangelou

Considering personalized driving preferences, a new decision-making framework is developed using a differential game approach to resolve the driving conflicts of autonomous vehicles (AVs) at unsignalized intersections. To realize human-like…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Peng Hang , Chao Huang , Zhongxu Hu , Chen Lv

Pricing schemes are an important smart grid feature to affect typical energy usage behavior of energy users (EUs). However, most existing schemes use the assumption that a buyer pays the same price per unit of energy to all suppliers at any…

Systems and Control · Computer Science 2015-12-14 Wayes Tushar , Chau Yuen , David Smith , H. Vincent Poor

We propose a method to design a decentralized energy market which guarantees individual rationality (IR) in expectation, in the presence of system-level grid constraints. We formulate the market as a welfare maximization problem subject to…

Computational Engineering, Finance, and Science · Computer Science 2018-07-23 Lorenzo Nespoli , Matteo Salani , Vasco Medici

Electric vehicles (EVs) can be considered as flexible mobile battery storages in microgrids. For multiple microgrids in an area, coordinated scheduling on charging and discharging are required to avoid power exchange spikes between the…

Optimization and Control · Mathematics 2016-02-25 Dai Wang , Xiaohong Guan , Jiang Wu , Pan Li , Peng Zan , Hui Xu

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…

Optimization and Control · Mathematics 2021-07-12 René Carmona , Mathieu Laurière

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

With the proliferation of distributed generations, traditional passive consumers in distribution networks are evolving into "prosumers", which can both produce and consume energy. Energy trading with the main grid or between prosumers is…

Optimization and Control · Mathematics 2022-10-06 Yongkai Xie , Zhaojian Wang , John Z. F. Pang , Bo Yang , Xinping Guan

This paper concerns a Mean Field Game (MFG) system related to a Nash type equilibrium for dynamical games associated to large populations. One shows that the MFG system may be viewed as the Euler-Lagrange system for an optimal control…

Optimization and Control · Mathematics 2025-03-21 Stefana-Lucia Anita

This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li
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