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Financing Capacity in the Bottleneck Model

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  • Arnott Richard
  • Kraus Marvin

Abstract

It is well known that, for a congestible facility with a constant long-run average cost, the revenue from the unconstrained optimal toll (set so that each individual faces marginal (social) cost of a use) covers the cost of optimal capacity. This paper investigates under what circumstances the first-best pricing and investment rules apply when time variation of the toll is constrained, and when users differ in unobservable characteristics so that the same toll must be applied to heterogeneous users. Both the bottleneck model and the traditional flow congestion model are considered.
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Suggested Citation

  • Arnott Richard & Kraus Marvin, 1995. "Financing Capacity in the Bottleneck Model," Journal of Urban Economics, Elsevier, vol. 38(3), pages 272-290, November.
  • Handle: RePEc:eee:juecon:v:38:y:1995:i:3:p:272-290
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    Cited by:

    1. Lindsey, Robin, 2009. "Cost recovery from congestion tolls with random capacity and demand," Journal of Urban Economics, Elsevier, vol. 66(1), pages 16-24, July.
    2. Arnott, Richard & Kraus, Marvin, 1998. "When are anonymous congestion charges consistent with marginal cost pricing?," Journal of Public Economics, Elsevier, vol. 67(1), pages 45-64, January.
    3. Xiao, Feng & Qian, Zhen (Sean) & Zhang, H. Michael, 2013. "Managing bottleneck congestion with tradable credits," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 1-14.
    4. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C., 2014. "Bottleneck model revisited: An activity-based perspective," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 262-287.
    5. Chen, Hongyu & Liu, Yang & Nie, Yu (Marco), 2015. "Solving the step-tolled bottleneck model with general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 210-229.
    6. van der Weijde, Adriaan Hendrik & Verhoef, Erik T. & van den Berg, Vincent A.C., 2013. "Competition in multi-modal transport networks: A dynamic approach," Transportation Research Part B: Methodological, Elsevier, vol. 53(C), pages 31-44.
    7. Small, Kenneth A., 2015. "The bottleneck model: An assessment and interpretation," Economics of Transportation, Elsevier, vol. 4(1), pages 110-117.
    8. Chen, Hongyu & Nie, Yu (Marco) & Yin, Yafeng, 2015. "Optimal multi-step toll design under general user heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 775-793.
    9. Yang, Hai & Meng, Qiang, 2002. "A note on "highway pricing and capacity choice in a road network under a build-operate-transfer scheme"," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(7), pages 659-663, August.
    10. Mackie-Mason, J.K. & Varian, H.R., 1993. "Pricing the Internet," Memorandum 20/1993, Oslo University, Department of Economics.
    11. Yang, Hai & Meng, Qiang, 2000. "Highway pricing and capacity choice in a road network under a build-operate-transfer scheme," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(3), pages 207-222, April.
    12. Tan, Zhijia, 2012. "Capacity and toll choice of an add-on toll road under various ownership regimes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1080-1092.
    13. repec:eee:retrec:v:62:y:2017:i:c:p:68-79 is not listed on IDEAS
    14. Vincent A.C. van den Berg & Erik T. Verhoef, 2015. "Robot Cars and Dynamic Bottleneck Congestion: The Effects on Capacity, Value of Time and Preference Heterogeneity," Tinbergen Institute Discussion Papers 15-062/VIII, Tinbergen Institute, revised 11 Jul 2016.
    15. Xiao, Yu & Coulombel, Nicolas & Palma, André de, 2017. "The valuation of travel time reliability: does congestion matter?," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 113-141.
    16. Kraus, Marvin & Yoshida, Yuichiro, 2002. "The Commuter's Time-of-Use Decision and Optimal Pricing and Service in Urban Mass Transit," Journal of Urban Economics, Elsevier, vol. 51(1), pages 170-195, January.
    17. Bichsel, Robert, 2001. "Should Road Users Pay the Full Cost of Road Provision?," Journal of Urban Economics, Elsevier, vol. 50(2), pages 367-383, September.
    18. van den Berg, Vincent A.C., 2014. "Coarse tolling with heterogeneous preferences," Transportation Research Part B: Methodological, Elsevier, vol. 64(C), pages 1-23.
    19. de Palma, André & Lindsey, Robin, 2007. "Chapter 2 Transport user charges and cost recovery," Research in Transportation Economics, Elsevier, vol. 19(1), pages 29-57, January.
    20. Takayama, Yuki & Kuwahara, Masao, 2016. "Scheduling preferences, parking competition, and bottleneck congestion: A model of trip timing and parking location choices by heterogeneous commuters," MPRA Paper 68938, University Library of Munich, Germany.
    21. Ian W. H. Parry & Margaret Walls & Winston Harrington, 2007. "Automobile Externalities and Policies," Journal of Economic Literature, American Economic Association, vol. 45(2), pages 373-399, June.
    22. Kenneth Small, 2015. "The Bottleneck Model: An Assessment and Interpretation," Working Papers 141506, University of California-Irvine, Department of Economics.
    23. Richard Arnott & Marvin Kraus, 1995. "Self-Financing of Congestible Facilities in a Growing Economy," Boston College Working Papers in Economics 304., Boston College Department of Economics.
    24. Takeshi Nagae & Takashi Akamatsu, 2006. "Dynamic Revenue Management of a Toll Road Project under Transportation Demand Uncertainty," Networks and Spatial Economics, Springer, vol. 6(3), pages 345-357, September.
    25. repec:eee:transb:v:102:y:2017:i:c:p:105-123 is not listed on IDEAS

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