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In this paper we study Mean Field Game systems under density constraints as optimality conditions of two optimization problems in duality. A weak solution of the system contains an extra term, an additional price imposed on the saturated…

Optimization and Control · Mathematics 2016-12-09 Pierre Cardaliaguet , Alpár Richárd Mészáros , Filippo Santambrogio

We study how high charging rate demands from electric vehicles (EVs) in a power distribution grid may collectively cause poor dynamic performance, and propose a price incentivization strategy to steer customers to settle for lesser charging…

Optimization and Control · Mathematics 2025-08-26 Amit Kumer Podder , Tomonori Sadamoto , Aranya Chakrabortty

The connected vehicle paradigm empowers vehicles with the capability to communicate with neighboring vehicles and infrastructure, shifting the role of vehicles from a transportation tool to an intelligent service platform. Meanwhile, the…

Signal Processing · Electrical Eng. & Systems 2020-05-19 Nan Chen , Miao Wang , Ning Zhang , Xuemin , Shen

An important part of the Smart Grid literature on residential Demand Response deals with game-theoretic consumption models. Among those papers, the hourly billing model is of special interest as an intuitive and fair mechanism. We focus on…

Optimization and Control · Mathematics 2017-12-27 Paulin Jacquot , Olivier Beaude , Stéphane Gaubert , Nadia Oudjane

In this paper, the problem of smart grid energy management under stochastic dynamics is investigated. In the considered model, at the demand side, it is assumed that customers can act as prosumers who own renewable energy sources and can…

Computer Science and Game Theory · Computer Science 2017-08-08 Seyed Rasoul Etesami , Walid Saad , Narayan Mandayam , H. Vincent Poor

The rapid adoption of electric vehicles (EVs) introduces complex spatiotemporal demand management challenges for charging station operators (CSOs), exacerbated by demand imbalances, behavioral heterogeneity, and system uncertainty.…

Computer Science and Game Theory · Computer Science 2026-01-21 Yongqi Zhang , Dong Ngoduy , Li Duan , Mingchang Zhu , Zhuo Chen

Demand response (DR) programs play a crucial role in improving system reliability and mitigating price volatility by altering the core profile of electricity consumption. This paper proposes a game-theoretical model that captures the…

General Economics · Economics 2024-11-26 Arega Getaneh Abate , Rosana Riccardi , Carlos Ruiz

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…

Optimization and Control · Mathematics 2025-06-25 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Melih Bastopcu , Tamer Başar

In this work, we study the interaction of strategic agents in continuous action Cournot games with limited information feedback. Cournot game is the essential market model for many socio-economic systems where agents learn and compete…

Optimization and Control · Mathematics 2020-09-15 Yuanyuan Shi , Baosen Zhang

We consider a market impact game for $n$ risk-averse agents that are competing in a market model with linear transient price impact and additional transaction costs. For both finite and infinite time horizons, the agents aim to minimize a…

Trading and Market Microstructure · Quantitative Finance 2020-10-30 Xiangge Luo , Alexander Schied

We consider users which may have renewable energy harvesting devices, or distributed generators. Such users can behave as consumer or producer (hence, we denote them as prosumers) at different time instances. A prosumer may sell the energy…

Computer Science and Game Theory · Computer Science 2018-04-24 Arnob Ghosh , Vaneet Aggarwal , Hong Wan

This paper addresses the problem of predicting the energy consumption for the drivers of Battery electric vehicles (BEVs). Several external factors (e.g., weather) are shown to have huge impacts on the energy consumption of a vehicle…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Yu-Wen Huang , Christian Prehofer , William Lindskog , Ron Puts , Pietro Mosca , Göran Kauermann

The European Union Emission Trading Scheme (EU ETS) is a cornerstone of the EU's strategy to fight climate change and an important device for plummeting greenhouse gas (GHG) emissions in an economically efficient manner. The power industry…

Theoretical Economics · Economics 2021-05-03 Arega Getaneh Abate , Rossana Riccardi , Carlos Ruiz

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

We discuss a class of explicitly solvable mean field type control problems/mean field games with a clear economic interpretation. More precisely, we consider long term average impulse control problems with underlying general one-dimensional…

Optimization and Control · Mathematics 2021-04-28 Sören Christensen , Berenice Anne Neumann , Tobias Sohr

Nash equilibrium is one of the most influential solution concepts in game theory. With the development of computer science and artificial intelligence, there is an increasing demand on Nash equilibrium computation, especially for Internet…

Computer Science and Game Theory · Computer Science 2023-12-19 Hanyu Li , Wenhan Huang , Zhijian Duan , David Henry Mguni , Kun Shao , Jun Wang , Xiaotie Deng

This paper explores an idea of demand-supply balance for smart grids in which consumers are expected to play a significant role. The main objective is to motivate the consumer, by maximizing their benefit both as a seller and a buyer, to…

Computer Science and Game Theory · Computer Science 2013-04-04 Wayes Tushar , Jian A. Zhang , David B. Smith , Sylvie Thiebaux , H. Vincent Poor

The transition from the Internal Combustion Engine Vehicles (ICEVs) to the Electric Vehicles (EVs) is globally recommended to combat the unfavourable environmental conditions caused by reliance on fossil fuels. However, it has been…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Leloko J. Lepolesa , Kayode E. Adetunji , Khmaies Ouahada , Zhenqing Liu , Ling Cheng

We discuss a natural game of competition and solve the corresponding mean field game with \emph{common noise} when agents' rewards are \emph{rank dependent}. We use this solution to provide an approximate Nash equilibrium for the finite…

Probability · Mathematics 2016-10-18 Erhan Bayraktar , Yuchong Zhang

Reducing energy consumption is a key focus for hybrid electric vehicle (HEV) development. The popular vehicle dynamic model used in many energy management optimization studies does not capture the vehicle dynamics that the in-vehicle…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Di Zhu , Ewan Pritchard , Sumanth Reddy Dadam , Vivek Kumar , Yang Xu