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...

In studying congestion tolling, it is important to account for heterogeneity in preferences of drivers, as ignoring it can bias the welfare gains. We analyse the effects of tolling, in the bottleneck model, with continuous heterogeneity in the value of time and schedule delay. The welfare gain...

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...