We formulate a horizontal differentiation model with price-sensitive demand and asymmetric transport costs, in the context of transport scheduling. Two competitors choose fares and departure times in a fixed time interval. Consumers are distributed uniformly along the interval; their location...

We consider equilibrium and optimum use of a Vickrey road bottleneck, distinguishing between long-run and short-run scheduling preferences in an otherwise stylized scheduling model. The preference structure reflects that there is a distinction between the (exogenous) 'long-run preferred arrival...

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 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...

This paper studies urban sustainability from the perspective ofexternalities. We develop a general spatialequilibrium model of a monocentric city, in which two types ofexternalities occur. On the one hand, pollution inthe industrial centre leads to a spatially differentiateddeterioration of the...

This paper discusses a number of issues that will become increasingly important nowthat the concept of marginal external cost pricing becomes more likely to be implementedas a policy strategy in transport in reality. The first part of the paper deals with thelong-run efficiency of marginal...

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...

This paper presents a framework for analysing spatial aspects of environmental policies in the regulation of trans-boundary externalities. A spatial price equilibrium model for two regions is constructed, where interactions between these regions can occur via trade and transport, via mutual...