Optimal road congestion pricing based on game theory

Based on the previous research, this paper presents a parameterized congestion pricing schemes with user´s behavior characterized by the theory of stochastic users´ equilibrium. The congestion pricing schemes is considered as a game between road users and administrator, and each player has the optimal objectives. Therefore, a bi-level program is employed with the upper-level evaluating of proximity between a Nash bargaining solution and the ideal solution, and the lower-level is the stochastic users´ equilibrium. The model is solved by genetic algorithm. The proposed model is illustrated that it is hard to reduce the pseudo remaining congestion by increasing the pricing when it comes to level.