We study road supply by competing firms between a single origin and destination. In previous studies, firms simultaneously set their tolls and capacities while taking the actions of the others as given in a Nash fashion. Then, under some widely used technical assumptions, firms set the same...

This paper presents a dynamic model of road traffic congestion based on simple carfollowing theory, allowing for finite group velocity and discrete vehicles. The model offers a full-fledged dynamic version of the standard static model of road traffic congestion based on the so-called...

We analyse congestion pricing in a road and rail network with heterogeneous users. On the road there is bottleneck congestion. In the train there is crowding congestion. We separately analyse proportional heterogeneity that varies the values of time and schedule delay scalarly in fixed...

This paper studies some of the properties and fundamentals of static models of road traffic congestion that have triggered much debate in the literature. The first part of the paper focuses in particular on the difficulties arising with the backward-bending cost curve in the context of...