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We study the optimal charging strategies for large-scale electric vehicles in smart grids within a finite-horizon mean field game framework. We first establish the existence and uniqueness of the solution to the consistency condition…

Optimization and Control · Mathematics 2025-12-03 Lijun Bo , Fengcheng Liu , Shihua Wang

Electric vehicles (EVs) are expected to be a major component of the smart grid. The rapid proliferation of EVs will introduce an unprecedented load on the existing electric grid due to the charging/discharging behavior of the EVs, thus…

Computer Science and Game Theory · Computer Science 2020-01-01 S. Rasoul Etesami , Walid Saad , Narayan Mandayam , H. V. Poor

We develop a model for the industry dynamics in the electricity market, based on mean-field games of optimal stopping. In our model, there are two types of agents: the renewable producers and the conventional producers. The renewable…

Optimization and Control · Mathematics 2020-04-30 René Aïd , Roxana Dumitrescu , Peter Tankov

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…

Theoretical Economics · Economics 2022-12-13 Trivikram Dokka , Jorge Bruno , Sonali SenGupta , Chowdhury Mohammad Sakib Anwar

Electric storage units constitute a key element in the emerging smart grid system. In this paper, the interactions and energy trading decisions of a number of geographically distributed storage units are studied using a novel framework…

Computer Science and Game Theory · Computer Science 2013-10-08 Yunpeng Wang , Walid Saad , Zhu Han , H. Vincent Poor , Tamer Başar

In this paper, the problem of grid-to-vehicle energy exchange between a smart grid and plug-in electric vehicle groups (PEVGs) is studied using a noncooperative Stackelberg game. In this game, on the one hand, the smart grid that acts as a…

Computer Science and Game Theory · Computer Science 2012-08-06 Wayes Tushar , Walid Saad , H. Vincent Poor , David. B. Smith

Agents attempt to maximize expected profits earned by selling multiple units of a perishable product where their revenue streams are affected by the prices they quote as well as the distribution of other prices quoted in the market by other…

Trading and Market Microstructure · Quantitative Finance 2025-04-16 Ryan Donnelly , Zi Li

Both ride-hailing services and electric vehicles are becoming increasingly popular and it is likely that charging management of the ride-hailing vehicles will be a significant part of the ride-hailing company's operation in the near future.…

Systems and Control · Electrical Eng. & Systems 2022-03-18 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

Electric Vehicles (EV) impact urban networks both when driving (e.g., noise and pollution reduction) and charging. For the electrical grid, the flexibility of EV charging makes it a significant actor in "Demand Response" mechanisms.…

Computer Science and Game Theory · Computer Science 2020-02-03 Benoît Sohet , Yezekael Hayel , Olivier Beaude , Alban Jeandin

This paper presents an analysis of competition between generators when incentive-based demand response is employed in an electricity market. Thermal and hydropower generation are considered in the model. A smooth inverse demand function is…

Computer Science and Game Theory · Computer Science 2018-02-23 José Vuelvas , Fredy Ruiz

In this paper, we analyze Nash equilibria between electricity producers selling their production on an electricity market and buying CO2 emission allowances on an auction carbon market. The producers' strategies integrate the coupling of…

Mathematical Finance · Quantitative Finance 2015-01-15 Mireille Bossy , Nadia Maizi , Odile Pourtallier

Electric Vehicles (EVs), as their penetration increases, are not only challenging the sustainability of the power grid, but also stimulating and promoting its upgrading. Indeed, EVs can actively reinforce the development of the Smart Grid…

Computer Science and Game Theory · Computer Science 2016-04-18 Wenjing Shuai , Patrick Maillé , Alexander Pelov

This paper studies the routing and charging behaviors of electric vehicles in a competitive ride-hailing market. When the vehicles are idle, they can choose whether to continue cruising to search for passengers, or move a charging station…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Kenan Zhang , John Lygeros

When a centrally operated ride-hailing company considers to enter a market already served by another company, it has to make a strategic decision about how to distribute its fleet among different regions in the area. This decision will be…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

We study the impact of transition scenario uncertainty, namely that of future carbon price and electricity demand, on the pace of decarbonization of the electricity industry. To this end, we develop a theory of optimal stopping mean-field…

Optimization and Control · Mathematics 2023-12-29 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

In a game theoretic framework, we study energy markets with a continuum of homogenous producers who produce energy from an exhaustible resource such as oil. Each producer simultaneously optimizes production rate that drives her revenues, as…

Economics · Quantitative Finance 2017-10-17 Michael Ludkovski , Xuwei Yang

Vehicle-to-grid (V2G) technology empowers electric vehicles (EVs) to act as mobile energy resources, providing critical support to power systems, especially under stressed conditions. To understand the economic mechanism driving V2G…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Jiaxin Hou , Yujia Li , Jong-Shi Pang

Electric vehicles (EVs) equipped with a bidirectional charger can provide valuable grid services as mobile energy storage. However, proper financial incentives need to be in place to enlist EV drivers to provide services to the grid. In…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Utkarsha Agwan , Junjie Qin , Kameshwar Poolla , Pravin Varaiya

Uncoordinated charging of a rapidly growing number of electric vehicles (EVs) and the uncertainty associated with renewable energy resources may constitute a critical issue for the electric mobility (E-Mobility) in the transportation system…

Optimization and Control · Mathematics 2020-06-30 Hwei-Ming Chung , Sabita Maharjan , Yan Zhang , Frank Eliassen

The wide deployment of distributed renewable energy sources and electric vehicles can help mitigate climate crisis. This necessitates new business models in the power sector to hedge against uncertainties while imposing a strong coupling…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Dongxiang Yan , Tongxin Li , Changhong Zhao , Han Wang , Yue Chen
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