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Time, speeds, flows and densities in static models of road traffic congestion and congestion pricing

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  • Erik Teodoor Verhoef
Abstract
This paper deals with some of the features of static models of road traffic congestion that have caused much debate in the literature. It first focuses on the difficulties arising with the backward-bending cost curve defined over traffic flows in the context of `continuous congestion'. The relevance of the backward-bending segment of this curve is questioned by demonstrating that the `equilibria' on this segment of the cost curve are dynamically infeasible. Next, the implications for static models of `peak congestion' are considered. In doing so, attention is paid also to the implicit assumptions, particularly on the nature of scheduling costs, that are necessary to render static models of peak congestion internally consistent. The paper ends with a brief discussion of the implications for dynamic models of peak congestion.

Suggested Citation

  • Erik Teodoor Verhoef, 1998. "Time, speeds, flows and densities in static models of road traffic congestion and congestion pricing," ERSA conference papers ersa98p156, European Regional Science Association.
    • Handle: RePEc:wiw:wiwrsa:ersa98p156
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    References listed on IDEAS

    as
    1. 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.
    2. Arnott, R. & De Palma, A. & Lindseyt, R., 1995. "Recent Developments in the Bottleneck Model," Papers 9523, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    3. Henderson, J. Vernon, 1981. "The economics of staggered work hours," Journal of Urban Economics, Elsevier, vol. 9(3), pages 349-364, May.
    4. Moshe Ben-Akiva & Andre de Palma & Pavlos Kanaroglou, 1986. "Dynamic Model of Peak Period Traffic Congestion with Elastic Arrival Rates," Transportation Science, INFORMS, vol. 20(3), pages 164-181, August.
    5. Verhoef, Erik, 1995. "The demand curve under road pricing and the problem of political feasibility: A comment," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(6), pages 459-465, November.
    6. G. F. Newell, 1988. "Traffic Flow for the Morning Commute," Transportation Science, INFORMS, vol. 22(1), pages 47-58, February.
    7. Evans, Alan W, 1992. "Road Congestion: The Diagrammatic Analysis: Comment," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 211-217, February.
    8. De Meza, David & Gould, J R, 1987. "Free Access versus Private Property in a Resource: Income Distributions Compared," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1317-1325, December.
    9. 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.
    10. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-179, March.
    11. Mun, Se-il, 1994. "Traffic jams and the congestion toll," Transportation Research Part B: Methodological, Elsevier, vol. 28(5), pages 365-375, October.
    12. Kenneth Button & Erik Verhoef (ed.), 1998. "Road Pricing, Traffic Congestion and the Environment," Books, Edward Elgar Publishing, number 940.
    13. Verhoef, Erik T., 2001. "An Integrated Dynamic Model of Road Traffic Congestion Based on Simple Car-Following Theory: Exploring Hypercongestion," Journal of Urban Economics, Elsevier, vol. 49(3), pages 505-542, May.
    14. Henderson, J. V., 1974. "Road congestion : A reconsideration of pricing theory," Journal of Urban Economics, Elsevier, vol. 1(3), pages 346-365, July.
    15. Chu Xuehao, 1995. "Endogenous Trip Scheduling: The Henderson Approach Reformulated and Compared with the Vickrey Approach," Journal of Urban Economics, Elsevier, vol. 37(3), pages 324-343, May.
    16. Lave, Charles, 1994. "The demand curve under road pricing and the problem of political feasibility," Transportation Research Part A: Policy and Practice, Elsevier, vol. 28(2), pages 83-91, March.
    17. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    18. Lave, Charles, 1994. "The Demand Curve Under Road Pricing and the Problem of Political Feasibility," University of California Transportation Center, Working Papers qt5165m7jr, University of California Transportation Center.
    19. Braid, Ralph M., 1989. "Uniform versus peak-load pricing of a bottleneck with elastic demand," Journal of Urban Economics, Elsevier, vol. 26(3), pages 320-327, November.
    20. 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.
    21. Verhoef, Erik T. & Emmerink, Richard H. M. & Nijkamp, Peter & Rietveld, Piet, 1996. "Information provision, flat and fine congestion tolling and the efficiency of road usage," Regional Science and Urban Economics, Elsevier, vol. 26(5), pages 505-529, August.
    22. Verhoef, Erik & Nijkamp, Peter & Rietveld, Piet, 1995. "The economics of regulatory parking policies: The (IM)possibilities of parking policies in traffic regulation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 29(2), pages 141-156, March.
    23. 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.
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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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