Multiclass multicriteria mixed equilibrium on networks and uniform link tolls for system optimum
In this paper, we consider a unified framework of multiclass multicriteria mixed equilibrium, and the existence of uniform link tolls supporting such a mixed equilibrium as a system optimum. The network users are divided into different classes, and each class of traveler perceives his/her disutility associated with a route as a combination of two criteria given, respectively, by the travel time disutility and the time-irrelevant travel disutility. And users in a common class follow either user equilibrium (UE) principle or CournotNash (CN) principle. A variational inequality model characterizing the multiclass multicriteria UECN mixed equilibrium behavior is developed. By utilizing the dual theory, we establish the existence of uniform link tolls supporting such mixed equilibrium as a system optimum.
multicriteria mixed equilibrium system optimum network equilibrium road pricing