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

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  • Verhoef, Erik Teodoor
  • Small, Kenneth A.

Abstract

We explore the properties of various types of public and private pricing on acongested road network with heterogeneous users and allowing for elasticdemand. Heterogeneity is represented by a continuum of values of time. Thenetwork consists of both serial and parallel links, which allows us to modelsecond-best pricing restrictions on either complementary or substitute links,while still accounting for interaction between different groups on sharedlinks (e.g. in city centres). We find that private (revenue-maximizing)pricing is much less efficient than public pricing, whether on the partial orthe full network; but this difference is mitigated by the productdifferentiation made possible by heterogeneous users. Ignoring heterogeneitycauses the welfare benefits of second-best pricing of one parallel link, apolicy currently receiving favourable consideration, to be dramaticallyunderestimated. Product differentiation produces some unexpecteddistributional effects, including the possibility that first-best pricing canresult in one of the parallel routes being both more congested than withoutpricing.
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  • Verhoef, Erik Teodoor & Small, Kenneth A., 1999. "Product Differentiation on Roads: Second-Best Congestion Pricing with Heterogeneity under Public and Private Ownership," ERSA conference papers ersa99pa358, European Regional Science Association.
  • Handle: RePEc:wiw:wiwrsa:ersa99pa358
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    Cited by:

    1. Paul Calcott & Shuntian Yao, 2005. "Competition between highway operators: Can we expect toll differentiation?," Papers in Regional Science, Wiley Blackwell, vol. 84(4), pages 615-626, November.
    2. Safirova, Elena & Gillingham, Kenneth & Houde, Sébastien, 2007. "Measuring marginal congestion costs of urban transportation: Do networks matter?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(8), pages 734-749, October.
    3. Kraus, Marvin, 2003. "A new look at the two-mode problem," Journal of Urban Economics, Elsevier, vol. 54(3), pages 511-530, November.
    4. Erik T. Verhoef, 2000. "Second-Best Congestion Pricing in General Networks - Algorithms for Finding Second-Best Optimal Toll Levels and Toll Points," Tinbergen Institute Discussion Papers 00-084/3, Tinbergen Institute.
    5. Small, Kenneth A. & Yan, Jia, 2001. "The Value of "Value Pricing" of Roads: Second-Best Pricing and Product Differentiation," Journal of Urban Economics, Elsevier, vol. 49(2), pages 310-336, March.
    6. Verhoef, Erik T., 2002. "Second-best congestion pricing in general static transportation networks with elastic demands," Regional Science and Urban Economics, Elsevier, vol. 32(3), pages 281-310, May.
    7. Parry, I. W. H., 2002. "Comparing the efficiency of alternative policies for reducing traffic congestion," Journal of Public Economics, Elsevier, vol. 85(3), pages 333-362, September.
    8. Bruno de Borger & Stef Proost, 2004. "Vertical and horizontal tax competition in the transport sector," Reflets et perspectives de la vie économique, De Boeck Université, vol. 0(4), pages 45-64.
    9. Parry, Ian W. H. & Bento, Antonio, 2002. "Estimating the Welfare Effect of Congestion Taxes: The Critical Importance of Other Distortions within the Transport System," Journal of Urban Economics, Elsevier, vol. 51(2), pages 339-365, March.
    10. De Borger, B. & Proost, S. & Van Dender, K., 2005. "Congestion and tax competition in a parallel network," European Economic Review, Elsevier, vol. 49(8), pages 2013-2040, November.
    11. Verhoef, Erik Teodoor, 2000. "The Generalized Second-Best Network Congestion Pricing Problem," ERSA conference papers ersa00p336, European Regional Science Association.
    12. Van Dender, Kurt, 2004. "Pricing transport networks with fixed residential location," Regional Science and Urban Economics, Elsevier, vol. 34(3), pages 289-307, May.
    13. Verhoef, Erik T., 2002. "Second-best congestion pricing in general networks. Heuristic algorithms for finding second-best optimal toll levels and toll points," Transportation Research Part B: Methodological, Elsevier, vol. 36(8), pages 707-729, September.
    14. Hideo Konishi, 2004. "Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters," Transportation Science, INFORMS, vol. 38(3), pages 315-330, August.
    15. C. Robin Lindsey & Erik T. Verhoef, 2000. "Traffic Congestion and Congestion Pricing," Tinbergen Institute Discussion Papers 00-101/3, Tinbergen Institute.
    16. Lam, Terence, 2004. "Evaluating value-pricing projects with both scheduling and route choices," Regional Science and Urban Economics, Elsevier, vol. 34(2), pages 225-240, March.

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    More about this item

    JEL classification:

    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise
    • R48 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Government Pricing and Policy
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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