This paper presents an integrated model for the dynamic traffic control problem and the dynamic traffic assignment problem. The objective of the integrated control-assignment problem is to find a mutually consistent dynamic system-optimal signal setting and dynamic user-optimal traffic flow. The integrated control-assignment problems are classified as follows using game theory: a one-level Cournot game, a bi-level Stackelberg game and a Monopoly game. A numerical example is provided to illustrate the equilibria of the games.
Abstract