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

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  • Erik T. Verhoef

    (Vrije Universiteit Amsterdam)

  • Kenneth A. Small

    (University of Irvine at California)

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.

Suggested Citation

  • Erik T. Verhoef & Kenneth A. Small, 1999. "Product Differentiation on Roads: Second-Best Congestion Pricing with Heterogeneity under Public and Private Ownership," Tinbergen Institute Discussion Papers 99-066/3, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:19990066
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    1. AndrÊ de Palma & Robin Lindsey, 2000. "Private toll roads: Competition under various ownership regimes," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 34(1), pages 13-35.
    2. MARCHAND, Maurice, 1968. "A note on optimal tolls in an imperfect environment," LIDAM Reprints CORE 22, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Edelson, Noel M, 1971. "Congestion Tolls Under Monopoly," American Economic Review, American Economic Association, vol. 61(5), pages 873-882, December.
    4. Liu, Louie Nan & McDonald, John F., 1998. "Efficient Congestion Tolls in the Presence of Unpriced Congestion: A Peak and Off-Peak Simulation Model," Journal of Urban Economics, Elsevier, vol. 44(3), pages 352-366, November.
    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. Kenneth Button & Erik Verhoef (ed.), 1998. "Road Pricing, Traffic Congestion and the Environment," Books, Edward Elgar Publishing, number 940.
    7. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    8. F. H. Knight, 1924. "Some Fallacies in the Interpretation of Social Cost," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 38(4), pages 582-606.
    9. Small, Kenneth A. & Gomez-Ilbanez, Jose A., 1998. "Road Pricing for Congestion Management: The Transition from Theory to Policy," University of California Transportation Center, Working Papers qt8kk909p1, University of California Transportation Center.
    10. Hahn, Robert W, 1989. "Economic Prescriptions for Environmental Problems: How the Patient Followed the Doctor's Orders," Journal of Economic Perspectives, American Economic Association, vol. 3(2), pages 95-114, Spring.
    11. Braid, Ralph M., 1996. "Peak-Load Pricing of a Transportation Route with an Unpriced Substitute," Journal of Urban Economics, Elsevier, vol. 40(2), pages 179-197, September.
    12. Train, Kenneth E & McFadden, Daniel L & Goett, Andrew A, 1987. "Consumer Attitudes and Voluntary Rate Schedules for Public Utilities," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 383-391, August.
    13. Yang, Hai & Huang, Hai-Jun, 1999. "Carpooling and congestion pricing in a multilane highway with high-occupancy-vehicle lanes," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(2), pages 139-155, February.
    14. Verhoef, Erik & Nijkamp, Peter & Rietveld, Piet, 1996. "Second-Best Congestion Pricing: The Case of an Untolled Alternative," Journal of Urban Economics, Elsevier, vol. 40(3), pages 279-302, November.
    15. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1992. "Route choice with heterogeneous drivers and group-specific congestion costs," Regional Science and Urban Economics, Elsevier, vol. 22(1), pages 71-102, March.
    16. Train, Kenneth E & Ben-Akiva, Moshe & Atherton, Terry, 1989. "Consumption Patterns and Self-selecting Tariffs," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 62-73, February.
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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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Van Dender, Kurt, 2004. "Pricing transport networks with fixed residential location," Regional Science and Urban Economics, Elsevier, vol. 34(3), pages 289-307, May.
    9. Hideo Konishi, 2004. "Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters," Transportation Science, INFORMS, vol. 38(3), pages 315-330, August.
    10. C. Robin Lindsey & Erik T. Verhoef, 2000. "Traffic Congestion and Congestion Pricing," Tinbergen Institute Discussion Papers 00-101/3, Tinbergen Institute.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Verhoef, Erik Teodoor, 2000. "The Generalized Second-Best Network Congestion Pricing Problem," ERSA conference papers ersa00p336, European Regional Science Association.
    16. 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.

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    More about this item

    Keywords

    congestion; road pricing; networks; second-best;
    All these keywords.

    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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