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In January 2023, the obligation for petrol stations to display the average fuel price calculated on a regional basis was introduced by the Italian Government. A mean field game model is here proposed to describe the evolution of the fuel…

Optimization and Control · Mathematics 2026-05-26 Fabio Bagagiolo , Federico Pontiroli , Ivan Romanò

In this work we discuss an Mean Field Games approach to traffic management on multi-lane roads. Such approach is particularly indicated to model self driven vehicles with perfect information of the domain. The mathematical interest of the…

Optimization and Control · Mathematics 2018-05-14 Adriano Festa , Simone Göttlich

This paper studies an optimal investment-consumption problem for competitive agents with exponential or power utilities and a common finite time horizon. Each agent regards the average of habit formation and wealth from all peers as…

Optimization and Control · Mathematics 2024-05-06 Zongxia Liang , Keyu Zhang

Energy management of plug-in Hybrid Electric Vehicles (HEVs) has different challenges from non-plug-in HEVs, due to bigger batteries and grid recharging. Instead of tackling it to pursue energetic efficiency, an approach minimizing the…

Systems and Control · Computer Science 2015-10-27 Simone Formentin , Jacopo Guanetti , Sergio M. Savaresi

In this study, we analyze an advertising competition in a duopoly. We consider two different notions of equilibrium. We model the companies in the duopoly as major players, and the consumers as minor players. In our first game model we…

Optimization and Control · Mathematics 2022-01-17 Rene Carmona , Gokce Dayanikli

This paper presents model predictive control strategies for battery electric endurance race cars accounting for interactions with the competitors. In particular, we devise an optimization framework capturing the impact of the actions of the…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Jorn van Kampen , Mauro Moriggi , Francesco Braghin , Mauro Salazar

This dissertation is to study the interplay between large-scale electric vehicle (EV) charging and the power system. We address three important issues pertaining to EV charging and integration into the power system: (1) charging station…

Econometrics · Economics 2018-08-20 Chao Luo

This paper proposes a cooperative lane changing strategy using a transferable utility games framework. This allows vehicles to engage in transactions where gaps in traffic are created in exchange for monetary compensation. The proposed…

Optimization and Control · Mathematics 2019-08-16 DianChao Lin , Li Li , Saif Eddin Jabari

Electric vehicles (EVs) add significant load on the power grid as they become widespread. The characteristics of this extra load follow the patterns of people's driving behaviours. In particular, random parameters such as arrival time and…

Computational Engineering, Finance, and Science · Computer Science 2014-08-12 Farshad Rassaei , Wee-Seng Soh , Kee-Chaing Chua

This paper explores the impact of electric vehicles (EVs) on traffic congestion and energy consumption by proposing an integrated bi-level framework comprising of: a) a dynamic micro-scale traffic simulation suitable for modelling current…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Artur Grigorev , Tuo Mao , Adam Berry , Joachim Tan , Loki Purushothaman , Adriana-Simona Mihaita

We study a multi-player stochastic differential game, where agents interact through their joint price impact on an asset that they trade to exploit a common trading signal. In this context, we prove that a closed-loop Nash equilibrium…

Mathematical Finance · Quantitative Finance 2023-06-23 Alessandro Micheli , Johannes Muhle-Karbe , Eyal Neuman

We introduce a mean field model for optimal holding of a representative agent of her peers as a natural expected scaling limit from the corresponding $N-$agent model. The induced mean field dynamics appear naturally in a form which is not…

Optimization and Control · Mathematics 2022-04-05 Mao Fabrice Djete , Nizar Touzi

One of the primary challenges in urban autonomous vehicle decision-making and planning lies in effectively managing intricate interactions with diverse traffic participants characterized by unpredictable movement patterns. Additionally,…

Multiagent Systems · Computer Science 2025-05-19 Keqi Shu , Minghao Ning , Ahmad Alghooneh , Shen Li , Mohammad Pirani , Amir Khajepour

Given a large number of homogeneous players that are distributed across three possible states, we consider the problem in which these players have to control their transition rates, while minimizing a cost. The optimal transition rates are…

Systems and Control · Computer Science 2018-02-13 Leonardo Stella , Dario Bauso

Electric vehicles (EVs) are an eco-friendly alternative to vehicles with internal combustion engines. Despite their environmental benefits, the massive electricity demand imposed by the anticipated proliferation of EVs could jeopardize the…

Systems and Control · Electrical Eng. & Systems 2019-11-18 Nanduni I. Nimalsiri , Chathurika P. Mediwaththe , Elizabeth L. Ratnam , Marnie Shaw , David B. Smith , Saman K. Halgamuge

The advent of intelligent agents who produce and consume energy by themselves has led the smart grid into the era of "prosumer", offering the energy system and customers a unique opportunity to revaluate/trade their spot energy via a…

Optimization and Control · Mathematics 2019-06-25 Yue Chen , Shengwei Mei , Wei Wei , Steven H. Low , Adam Wierman , Feng Liu

The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing. Using the fundamental diagram of traffic flows - applied in macroscopic and…

Mean field games are studied by means of the weak formulation of stochastic optimal control. This approach allows the mean field interactions to enter through both state and control processes and take a form which is general enough to…

Probability · Mathematics 2015-04-09 Rene Carmona , Daniel Lacker

We propose a game-theoretic framework for adaptive multi-agent intelligent systems. Unlike classical game theory, which often treats strategies as primitive objects chosen by perfectly rational agents, the proposed framework provides a…

Neural and Evolutionary Computing · Computer Science 2026-05-12 Zhe Sage Chen , Quanyan Zhu

We study the traffic routing game among a large number of selfish drivers over a traffic network. We consider a specific scenario where the strategic drivers can be classified into teams, where drivers in the same team have identical payoff…

Optimization and Control · Mathematics 2019-10-03 Ali Reza Pedram , Takashi Tanaka