Random Supply and Strategic Behaviour in Static Traffic Assignment

Deterministic traffic assignment is based on the assumption that each user is perfectly informed about the topology of the network and the costs that he would incur by travelling on any road arc. In this context, as a rational decision maker he will choose to travel on a shortest path, i.e. one among the paths connecting on the network his origin to his destination with the least cost. Any congestion phenomena is reproduced by means of an arc cost function, through which the disutility of travelling throughout each arc depends in general on the flows of all the arcs of the network. This induces an equilibrium, where no user finds convenient to change unilaterally his path choice.