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...

Traffic congestion is a bane of modern city life. Transportation economists have long supported road pricing as a tool for controlling congestion and the idea is slowly coming into practice. This paper reviews the theory of congestion pricing and the relationship between optimal congestion tolls...

According to the seminal Cost Recovery Theorem the revenues from congestion tolls pay for the capacity costs of an optimal-sized facility if capacity is perfectly divisible, and if user costs and capacity costs have constant scale economies. This paper extends the Theorem to long-run uncertainty...

This paper reviews the methods and technologies for congestion pricing of roads. Congestion tolls can be implemented at scales ranging from individual lanes on single links to national road networks. Tolls can be differentiated by time of day, road type and vehicle characteristics, and even set...

According to the Cost Recovery Theorem the revenues from optimal congestion tolls pay for the capacity costs of an optimal-sized facility if capacity is perfectly divisible, and if user costs and capacity costs have constant scale economies. This paper extends the theorem to long-run uncertainty...

Demand and capacity fluctuations are common for roads and other congestible facilities. With ongoing advances in pricing technology and ways of communicating information to prospective users, state-dependent congestion pricing is becoming practical. But it is still rare or nonexistent in many...