Urban Traffic Control Via Stackelber-Nash Equilibria

Traffic congestion is an issue in every major city. Many approaches have been tried. In this paper, we propose to model signalized intersections as finite controlled Markov chains. The intersection represents a noncooperative game where each player try to minimize its queue, so ε–Nash's equilibrium is the solution and we consider a game with leader to model an avenue obtaining a Stackelber-Nash Equilibria for the entire game as a general solution. This paper is focused on the traffic light control problem for urban traffic, using Game Theory and Extraproximal Method for its realization. The examples show the effectiveness of the suggested approach.