  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 problem is related to the fact that the system of partial differential
equations obtained in this case is not in the classic form, but it consists of
two continuity equations (one for each lane) and a variational inequality,
coming from the Hamilton-Jacobi theory of the hybrid control.
