In this article we present the method used to solve the conflicts that can happen between agents that represent simulated drivers in a simulated road traffic. This work is part of the ARCHISIM project, which aims at both simulating a realistic traffic evolution and making the behaviour of the simulated drivers credible for a human driver placed in a driving simulator. After having categorized the types of conflicts that can happen, and the constraints that determine the choice of a solving method, we propose a method that combines reactivity and anticipation. This method is based on the works of driving psychologists who work in the INRETS institute. We offer an exprimental validation of this method with respect to real data and discuss its advantages in the perspective of largest applications.