  This paper deals with the modeling and mathematical analysis of vehicular
traffic phenomena according to a kinetic theory approach, where the microscopic
state of vehicles is described by: (i) position, (ii) velocity, as a continuous
variable, and also (iii) activity, namely a variable suited to model the
quality of the driver-vehicle micro-system. Interactions at the microscopic
scale are modeled by methods of game theory with continuous velocity variable,
thus leading to the derivation of mathematical models within the framework of
the kinetic theory of active particles. Short-range interactions and mean field
interactions are modeled to depict velocity changes related to passing and
clustering phenomena. Finally, we perform an analysis of a constructive method
to solve the model.
