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...

This paper considers the welfare impacts of a range of franchising regimes for congestible highways. For a single road in isolation, it is shown that a competitive auction with the level of road use as the decision criterion produces the socially optimal road (in terms of capacity and toll...

This paper studies the second-best problem where not all links of acongested transportation network can be tolled. The second-best taxrule for this problem is derived for general static networks, so thatthe solution presented is valid for any graph of the network, and forany set of tolling...

We study interaction between the trips of two types of drivers on a two-lane road who differ by their desired speeds. The difference in desired speeds causes congestion, because slow drivers force fast drivers to reduce their speed. An interesting aspect of this type of congestion is that...

This paper considers the second-best problem where not all links of a congested transportation networkcan be tolled. The paper builds on earlier work, in which the second-best tax rule for this problem wasderived for general static networks, so that the solution presented is valid for any graph...

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...

In this paper, we investigate congestion caused by differences in desired or possible speeds. Especially outside peak hours, speed differences are probably one of the most important reasons for congestion. Although the model setting, with one lane and no overtaking, may seem simple at first...