working paper

Product Differentiation on Roads: Second-Best Congestion Pricing with Heterogeneity under Public and Private Ownership

Publication Date

June 1, 1999

Author(s)

Erik T. Verhoef, Kenneth Small

Abstract

We explore the properties of various types of public and private pricing on a congested road network with heterogeneous users and allowing for elastic demand. Heterogeneity is represented by a continuum of values of time. The network consists of both serial and parallel links, which allows us to model second-best pricing restrictions on either complementary or substitute links, while still accounting for interaction between different groups on shared links (e.g. in city centres). We find that private (revenue-maximizing) pricing is much less efficient than public, whether on the partial or the full network; but this difference is mitigated by the product differentiation made possible by heterogeneous users. Ignoring heterogeneity causes the welfare benefits of second-best pricing of one parallel link, a policy currently receiving favourable consideration, to be dramatically underestimated Product differentiation produces some unexpected distributional effects, including the possibility that first-best pricing can result in one of the parallel routes being both more expensive and more congested than with no pricing.

Suggested Citation
Erik T. Verhoef and Kenneth A. Small (1999) Product Differentiation on Roads: Second-Best Congestion Pricing with Heterogeneity under Public and Private Ownership. Working Paper UCI-ITS-WP-99-1. Institute of Transportation Studies, Irvine. Available at: https://escholarship.org/uc/item/8h45v1v3.