Inside the queue: hypercongestion and road pricing in a continuous time - continuous place model of traffic congestion
This paper develops a continuous time - continuous place model of road traffic congestion, based on car-following theory. The model fully integrates two archetype representations of traffic congestion technology, namely "flow congestion", originating in the works of Pigou, and "vertical queuing" models, pioneered by Vickrey. Because a closed-form analytical solution of the formal model does not exist, its behaviour is explored in a numerical exercise. In a setting with endogenous departure time choice and with a bottleneck halfway the route, it is shown that "hypercongestion" can arise as a dynamic - transitional and local - equilibrium phenomenon. Also dynamic toll schedules are explored. It is found that a toll rule based on an intuitive dynamic and space-varying generalization of the standard Pigouvian tax rule can hardly be improved upon. A naïve application of a toll schedule based on Vickrey´s bottleneck model, in contrast, performs much worse and actually even reduces welfare.
|Date of creation:||Aug 2002|
|Date of revision:|
|Contact details of provider:|| Postal: Welthandelsplatz 1, 1020 Vienna, Austria|
Web page: http://www.ersa.org
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Ohta, H., 1999.
"Probing a Traffic Congestion Controversy: Density and Flow Scrutinized,"
99-00-03, California Irvine - School of Social Sciences.
- Hiroshi Ohta, 2001. "Probing A Traffic Congestion Controversy: Density and Flow Scrutinized," Journal of Regional Science, Wiley Blackwell, vol. 41(4), pages 659-680.
- 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.
- Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
- 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.
- Verhoef, Erik T., 1999. "Time, speeds, flows and densities in static models of road traffic congestion and congestion pricing," Regional Science and Urban Economics, Elsevier, vol. 29(3), pages 341-369, May.
- Erik Verhoef, 1997. "Time, Speeds, Flows and Densities in Static Models of Road Traffic Congestion and Congestion Pricing," Tinbergen Institute Discussion Papers 97-070/3, Tinbergen Institute.
- Evans, Alan W, 1992. "Road Congestion: The Diagrammatic Analysis: Comment," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 211-17, February.
- 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.
- 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.
- Henderson, J. V., 1974. "Road congestion : A reconsideration of pricing theory," Journal of Urban Economics, Elsevier, vol. 1(3), pages 346-365, July.
- Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-79, June.
- 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.
- Mun, Se-il, 1999. "Peak-Load Pricing of a Bottleneck with Traffic Jam," Journal of Urban Economics, Elsevier, vol. 46(3), pages 323-349, November.
When requesting a correction, please mention this item's handle: RePEc:wiw:wiwrsa:ersa02p068. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gunther Maier)
If references are entirely missing, you can add them using this form.