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This paper presents the equilibrium analysis of a game composed of heterogeneous electric vehicles (EVs) and a power distribution system operator (DSO) as the players, and charging station operators (CSOs) and a transportation network…

Computer Science and Game Theory · Computer Science 2023-01-27 Babak Ghaffarzadeh Bakhshayesh , Hamed Kebriaei

Future electricity distribution grids will host a considerable share of the renewable energy sources needed for enforcing the energy transition. Demand side management mechanisms play a key role in the integration of such renewable energy…

Systems and Control · Computer Science 2019-04-16 José Horta , Eitan Altman , Mathieu Caujolle , Daniel Kofman , David Menga

Electric vehicles (EVs) and particularly plug-in hybrid electric vehicles (PHEVs) are foreseen to become popular in the near future. Not only are they much more environmentally friendly than conventional internal combustion engine (ICE)…

Computational Engineering, Finance, and Science · Computer Science 2014-07-08 Farshad Rassaei , Wee-Seng Soh , Kee-Chaing Chua

Cournot competition is a fundamental economic model that represents firms competing in a single market of a homogeneous good. Each firm tries to maximize its utility---a function of the production cost as well as market price of the…

Computer Science and Game Theory · Computer Science 2014-07-25 Melika Abolhassani , MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Hamid Mahini , Anshul Sawant

We propose a mean field game (MFG) framework to model the evolution of renewable energy production in competitive electricity markets. Producers interact through the spot price while optimising their profits under production, installation,…

Optimization and Control · Mathematics 2026-03-25 Luciano Campi , Zhuoshu Wu

We present a novel user-centric vehicle-to-grid (V2G) framework that enables electric vehicle (EV) users to balance the trade-off between financial benefits from V2G and battery health degradation based on individual preference signals.

Systems and Control · Electrical Eng. & Systems 2025-07-28 Arghya Mallick , Georgios Pantazis , Peyman Mohajerin Esfahani , Sergio Grammatico

Mean field games and controls involve guiding the behavior of large populations of interacting agents, where each individual's influence on the group is negligible but collectively impacts overall dynamics. Hybrid systems integrate…

Optimization and Control · Mathematics 2024-12-17 Tejaswi K. C. , Taeyoung Lee

We develop a model based on mean-field games of competitive firms producing similar goods according to a standard AK model with a depreciation rate of capital generating pollution as a byproduct. Our analysis focuses on the widely-used…

Mathematical Finance · Quantitative Finance 2024-07-18 Gianmarco Del Sarto , Marta Leocata , Giulia Livieri

Electric vehicle charging and geo-distributed datacenters introduce spatially flexible loads (FLs) that couple power, transportation, and datacenter networks. These couplings create a closed-loop feedback between locational marginal prices…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Nan Gu , Junjie Qin

In this work, we propose a multi-layer market for vehicle-to-grid energy trading. In the macro layer, we consider a double auction mechanism, under which the utility company act as an auctioneer and energy buyers and sellers interact. This…

Computer Science and Game Theory · Computer Science 2016-09-07 Albert Y. S. Lam , Longbo Huang , Alonso Silva , Walid Saad

The increasing number of Electric Vehicles (EVs) have led to rising energy demands which aggregates the burden on grid supply. A few solutions have been proposed to reduce grid load, for example, using storage systems for storing surplus…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Ferheen Ayaz , Maziar Nekovee

We study a new kind of non-zero-sum stochastic differential game with mixed impulse/switching controls, motivated by strategic competition in commodity markets. A representative upstream firm produces a commodity that is used by a…

Mathematical Finance · Quantitative Finance 2020-06-09 René Aïd , Luciano Campi , Liangchen Li , Mike Ludkovski

We propose a multi-agent based computational framework for modeling decision-making and strategic interaction at micro level for smart vehicles in a smart world. The concepts of Markov game and best response dynamics are heavily leveraged.…

Multiagent Systems · Computer Science 2022-01-05 Qi Dai , Xunnong Xu , Wen Guo , Suzhou Huang , Dimitar Filev

Grid edge resources refer to distributed energy resources (DERs) located on the consumer side of the electrical grid, controlled by consumers rather than utility companies. Integrating DERs with real-time electricity pricing can better…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Chen Feng , Andrew L. Liu

In this note, we present an existence result of a Nash equilibrium between electricity producers selling their production on an electricity market and buying CO2 emission allowances on an auction carbon market. The producers' strategies…

Trading and Market Microstructure · Quantitative Finance 2013-11-08 Mireille Bossy , Nadia Maizi , Odile Pourtallier

The aim of this paper is to study first order Mean field games subject to a linear controlled dynamics on $\mathbb R^{d}$. For this kind of problems, we define Nash equilibria (called Mean Field Games equilibria), as Borel probability…

Optimization and Control · Mathematics 2019-12-11 Piermarco Cannarsa , Cristian Mendico

We consider the charge scheduling coordination of a fleet of plug-in electric vehicles, developing a hybrid decision-making framework for efficient and profitable usage of the distribution grid. Each charging dynamics, affected by the…

Optimization and Control · Mathematics 2019-10-24 Carlo Cenedese , Filippo Fabiani , Michele Cucuzzella , Jacquelien M. A. Scherpen , Ming Cao , Sergio Grammatico

Given the rise of electric vehicle (EV) adoption, supported by government policies and dropping technology prices, new challenges arise in the modeling and operation of electric transportation. In this paper, we present a model for solving…

Optimization and Control · Mathematics 2021-04-13 Oluwaseun Oladimeji , Alvaro Gonzalez-Castellanos , David Pozo , Yury Dvorkin , Samrat Acharya

The sharing economy has disrupted housing and transportation sectors. Homeowners can rent out their property when they are away on vacation, car owners can offer ride sharing services. These sharing economy business models are based on…

Systems and Control · Computer Science 2016-09-07 Dileep Kalathil , Chenye Wu , Kameshwar Poolla , Pravin Varaiya

Nash equilibrium is a common solution concept that captures strategic interaction in electricity market analysis. However, it requires a fundamental but impractical assumption that all market participants are fully rational, implying…

Computer Science and Game Theory · Computer Science 2024-07-15 Lihui Yi , Ermin Wei