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A Structural Model of Traffic Congestion

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Author Info
Erik T. Verhoef () (Vrije Universiteit Amsterdam)
Jan Rouwendal () (Vrije Universiteit Amsterdam)

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Abstract

Conventional economic models of traffic congestion assume that the relation between road use and speed is a technical one. In this paper we derive the speed-flow relationship from more fundamental considerations concerning driving behaviour. We develop a structural model in which drivers choose their own optimal speed, by trading off various cost aspects of making a trip: time costs, expected accident costs and fuel costs. Since the optimal speed depends on the presence of other drivers on the road, we can derive a speed flow relationship on the basis of this behaviour. It is demonstrated that the relationship between the various cost components should be taken into account in computing the external costs of traffic. For tolls alone, it is demonstrated that a regulator ignoring the fundamental relation will otherwise fail to set optimal tolls, and will underestimate the efficiency gains of congestion pricing. Moreover, the overall welfare optimum in our model is found to be off the speed-flow function, and off the average and marginal cost functions derived from it in the conventional approach. This full optimum requires tolls to be either accompanied by speed policies, or to be set as a function of speed. Using an empirically calibrated numerical simulation model, we illustrate these qualitative findings, and attempt to assess their potential empirical relevance.

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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 01-026/3.

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Date of creation: 05 Mar 2001
Date of revision: 17 Oct 2003
Handle: RePEc:dgr:uvatin:20010026

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Web page: http://www.tinbergen.nl/

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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.:
  1. Keeler, Theodore E & Small, Kenneth A, 1977. "Optimal Peak-Load Pricing, Investment, and Service Levels on Urban Expressways," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 1-25, February. [Downloadable!] (restricted)
  2. C. Robin Lindsey & Erik T. Verhoef, 2000. "Traffic Congestion and Congestion Pricing," Tinbergen Institute Discussion Papers 00-101/3, Tinbergen Institute. [Downloadable!]
  3. Rotemberg, Julio J., 1985. "The efficiency of equilibrium traffic flows," Journal of Public Economics, Elsevier, vol. 26(2), pages 191-205, March. [Downloadable!] (restricted)
  4. 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 161-79, March. [Downloadable!] (restricted)
  5. 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..
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  6. 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. [Downloadable!] (restricted)
  7. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May. [Downloadable!] (restricted)
  8. Dickerson, Andrew & Peirson, John & Vickerman, Roger, 2000. "Road Accidents and Traffic Flows: An Econometric Investigation," Economica, London School of Economics and Political Science, vol. 67(265), pages 101-21, February. [Downloadable!] (restricted)
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  9. Small, K.A. & Gomez-Ibanez, J.A., 1996. "Urban Transportation," Papers 95-96-4, California Irvine - School of Social Sciences.
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  10. Boardman, Anthony E. & Lave, Lester B., 1977. "Highway congestion and congestion tolls," Journal of Urban Economics, Elsevier, vol. 4(3), pages 340-359, July. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
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