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A Stochastic Model of Congestion caused by Speed Differences

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Author Info

  • Jan Rouwendal

    ()
    (Wageningen University)

  • Erik T. Verhoef

    ()

  • Piet Rietveld

    ()
    (Vrije Universiteit Amsterdam)

  • Bert Zwart

    (Eindhoven University of Technology)

Abstract

We study interaction between the trips of two types of drivers on a two-lane road who differ by their desired speeds. The difference in desired speeds causes congestion, because slow drivers force fast drivers to reduce their speed. An interesting aspect of this type of congestion is that results with respect to tolling are very different from those of the classical Pigou-Knight model where the marginal external costs are an increasing function of the number of road users. In our model we find the opposite result: the marginal external costs of slow drivers are a decreasing function of the number of slow drivers. This leads to rather different policy recommendations. In many situations either laissez faire (no tolling or traffic restrictions) or prohibition of slow drivers to enter the road is in practice (i.e. taking into account costs associated with tolling) the optimal policy. This conclusion hardly changes if the possibility of overtaking is introduced into the model.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 00-091/3.

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Date of creation: 10 Nov 2000
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Handle: RePEc:dgr:uvatin:20000091

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

Related research

Keywords: Congestion; Road Pricing;

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References

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  1. Erik Verhoef & Jan Rouwendal & Piet Rietveld, 1997. "Congestion caused by Speed Differences," Tinbergen Institute Discussion Papers 97-105/3, Tinbergen Institute.
  2. 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.
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Cited by:
  1. 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.
  2. de Palma, André & Kilani, Moez & Lindsey, Robin, 2008. "The merits of separating cars and trucks," Journal of Urban Economics, Elsevier, vol. 64(2), pages 340-361, September.
  3. Andre De Palma & Moez Kilani & Robin Lindsey, 2006. "The Economics of Truck Toll Lanes," ERSA conference papers ersa06p896, European Regional Science Association.

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