Amal Machtalay – Mathematics and Decision

$\begin{quote} \begin{center} \textbf{Mean-field game: application to traffic} \end{center} \medskip The theory of mean-field game to study complex systems in which many agents interact strategically in an evolving stochastic environment was introduced by Lasry and Lions in 2007 and Huang, Caines, and Malhame in 2006. The first mathematical traffic model called the kinematic wave model was introduced in 1955, as was focusing on the propagation of waves in traffic. Since then, various models have been developed to understand traffic dynamics, predict road capacity, and describe significant transportation phenomena described as shock waves and phase transitions. Indeed, the mean-field game approach provides an attractive mathematical framework that can contribute to a better understanding of traffic's complex dynamics. \end{quote}$