This paper explores the interrelations between pricing, capacity choice and financingin transportation networks. It builds on the famous Mohring-Harwitz result on self-financing ofoptimally designed roads under optimal congestion pricing, and specifically investigates itsins and outs in a...

A dynamic 'car-following' extension of the conventional economic model of traffic congestion is presented, which predicts the average cost function for trips in stationary states to be significantly different from the conventional average cost function derived from the speed-flow function. When...

Mohring and Harwitz (1962) showed that, under certain conditions, an optimally designed and priced road would generate user toll revenues just sufficient to cover its capital costs. Several scholars subsequently explored the robustness of that finding. This paper briefly summarizes further...

This paper considers the use of ‘long-run cost functions’ for congested networks in solving second-best network problems, in which capacity and tolls are instruments. We derive analytical results both for general cost and demand functions and for specific functional forms, namely Bureau of...

The traditional bottleneck model for road congestion promotes the implementation of a triangular, fully time varying, charge as the optimal solution for the road congestion externality. However, cognitive and technological barriers put a practical limit to the degree of differentiation real...

This paper analyzes the possibilities to relieve congestion using rewards instead of taxes, as well as combinations of rewards and taxes. The model considers a Vickrey-ADL model of bottleneck congestion with endogenous scheduling. With inelastic demand, a fine (time-varying) reward is equivalent...

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 a...

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...

In most dynamic traffic congestion models, congestion tolls must vary continuously over time to achieve the full optimum. This is also the case in Vickrey's (1969) 'bottleneck model'. To date, the closest approximations of this ideal in practice have so-called 'step tolls,' in which the toll...

The traditional bottleneck model for road congestion promotes the implementation of a triangular, fully time varying, charge as the optimal solution for the road congestion externality. However, cognitive and technological barriers put a practical limit to the degree of differentiation real...