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

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  • Verhoef, Erik T.

Abstract

This paper studies some of the properties and fundamentals of static models of road traffic congestion that have triggered much debate in the literature. The first part of the paper focuses in particular on the difficulties arising with the backward-bending cost curve in the context of 'continuous congestion'. Therelevance of the backward-bending segment of the cost curve for the static analysis of congestion is questioned by demonstrating that 'equilibria' on this segment produce upwards shifts of the cost curve itself, and can therefore not be of a stationary nature. Next, the implications for static models of 'peakcongestion' are considered. In doing so, the paper addresses 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 peakcongestion.

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Bibliographic Info

Article provided by Elsevier in its journal Regional Science and Urban Economics.

Volume (Year): 29 (1999)
Issue (Month): 3 (May)
Pages: 341-369

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Handle: RePEc:eee:regeco:v:29:y:1999:i:3:p:341-369

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References

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  1. Richard Arnott & Andre de Palma & Robin Lindsey, 1995. "Recent Developments in the Bottleneck Model," Boston College Working Papers in Economics 305., Boston College Department of Economics.
  2. Henderson, J. Vernon, 1981. "The economics of staggered work hours," Journal of Urban Economics, Elsevier, vol. 9(3), pages 349-364, May.
  3. Small, K.A. & Gomez-Ibanez, J.A., 1996. "Urban Transportation," Papers 95-96-4, California Irvine - School of Social Sciences.
  4. 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.
  5. 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 1317-25, December.
  6. Henderson, J. V., 1974. "Road congestion : A reconsideration of pricing theory," Journal of Urban Economics, Elsevier, vol. 1(3), pages 346-365, July.
  7. 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.
  8. Erik T. Verhoef, 1998. "An Integrated Dynamic Model of Road Traffic Congestion based on Simple Car-Following Theory," Tinbergen Institute Discussion Papers 98-030/3, Tinbergen Institute.
  9. Verhoef Erik T., 1997. "Externalities," Serie Research Memoranda 0031, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  10. 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.
  11. 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.
  12. Moshe Ben-Akiva & Andre de Palma & Pavlos Kanaroglou, 1984. "Dynamic Model of Peak Period Traffic Congestion with Elastic Arrival Rates," Working Papers 588, Queen's University, Department of Economics.
  13. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. Mun, Se-il, 1994. "Traffic jams and the congestion toll," Transportation Research Part B: Methodological, Elsevier, vol. 28(5), pages 365-375, October.
  19. 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.
  20. 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.
  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.
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Citations

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Cited by:
  1. Richard Arnott & Eren Inci, 2008. "The Stability Of Downtown Parking And Traffic Congestion," Working Papers 200813, University of California at Riverside, Department of Economics, revised Nov 2008.
  2. Verhoef, Erik T. & Rouwendal, Jan, 2004. "A behavioural model of traffic congestion: Endogenizing speed choice, traffic safety and time losses," Journal of Urban Economics, Elsevier, vol. 56(3), pages 408-434, November.
  3. Verhoef, Erik Teodoor, 2000. "The Generalized Second-Best Network Congestion Pricing Problem," ERSA conference papers ersa00p336, European Regional Science Association.
  4. Liu, Ronghui & May, Tony & Shepherd, Simon, 2011. "On the fundamental diagram and supply curves for congested urban networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(9), pages 951-965, November.
  5. 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.
  6. 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.
  7. Erik T. Verhoef, 1998. "An Integrated Dynamic Model of Road Traffic Congestion based on Simple Car-Following Theory," Tinbergen Institute Discussion Papers 98-030/3, Tinbergen Institute.
  8. Erik T. Verhoef, 1998. "Second-Best Congestion Pricing in General Static Transportation Networks with Elastic Demand," Tinbergen Institute Discussion Papers 98-086/3, Tinbergen Institute.
  9. Cameron Hepburn, 2006. "Regulation by Prices, Quantities, or Both: A Review of Instrument Choice," Oxford Review of Economic Policy, Oxford University Press, vol. 22(2), pages 226-247, Summer.
  10. repec:dgr:uvatin:2099091 is not listed on IDEAS
  11. Verhoef, Erik T., 2003. "Inside the queue:: hypercongestion and road pricing in a continuous time-continuous place model of traffic congestion," Journal of Urban Economics, Elsevier, vol. 54(3), pages 531-565, November.
  12. Erik T. Verhoef, 2000. "Second-Best Congestion Pricing in General Static Transportation Networks with Elastic Demands," Tinbergen Institute Discussion Papers 00-078/3, Tinbergen Institute.
  13. C. Robin Lindsey & Erik T. Verhoef, 1999. "Congestion Modelling," Tinbergen Institute Discussion Papers 99-091/3, Tinbergen Institute.
  14. 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.
  15. Tsekeris, Theodore & Geroliminis, Nikolas, 2013. "City size, network structure and traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 1-14.
  16. Arnott, Richard, 2013. "A bathtub model of downtown traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 110-121.
  17. repec:hal:wpaper:halshs-00467888 is not listed on IDEAS
  18. Erik T. Verhoef & Jan Rouwendal, 2001. "A Structural Model of Traffic Congestion," Tinbergen Institute Discussion Papers 01-026/3, Tinbergen Institute, revised 17 Oct 2003.

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