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The Downs–Thomson Paradox with responsive transit service

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  • Zhang, Fangni
  • Yang, Hai
  • Liu, Wei

Abstract

Downs (1962) and Thomson (1977) suggested that highway capacity expansion may produce counterproductive effects on the two-mode (auto and transit) transport system (Downs–Thomson Paradox). This paper investigates the occurrence of this paradox when transit authority can have different economic objectives (profit-maximizing or breakeven) and operating schemes (frequency, fare, or both frequency and fare). For various combinations of economic objectives and operating schemes, the interaction between highway expansion and transit service is explored, as well as its impact on travelers’ mode choices and travel utilities. Further, for each combination, the conditions for occurrence of the Downs–Thomson Paradox are established. We show that the paradox never occurs when transit authority is profit-maximizing, but it is inevitable when the transit authority is running to maximize travelers’ utility while maintaining breakeven. This is because the former transit authority tends to enhance transit service (e.g., raise frequency or reduce fare) when facing an expanded highway; and on the contrary, the latter tends to compromise transit service (e.g., reduce frequency or raise fare). Both analytical and numerical examples are provided to verify the theoretical results.

Suggested Citation

  • Zhang, Fangni & Yang, Hai & Liu, Wei, 2014. "The Downs–Thomson Paradox with responsive transit service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 244-263.
    • Handle: RePEc:eee:transa:v:70:y:2014:i:c:p:244-263
    DOI: 10.1016/j.tra.2014.10.022
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    1. Mohring, Herbert, 1972. "Optimization and Scale Economies in Urban Bus Transportation," American Economic Review, American Economic Association, vol. 62(4), pages 591-604, September.
    2. Kraus, Marvin, 2003. "A new look at the two-mode problem," Journal of Urban Economics, Elsevier, vol. 54(3), pages 511-530, November.
    3. Hsu, Wen-Tai & Zhang, Hongliang, 2014. "The fundamental law of highway congestion revisited: Evidence from national expressways in Japan," Journal of Urban Economics, Elsevier, vol. 81(C), pages 65-76.
    4. Nie, Yu (Marco) & Liu, Yang, 2010. "Existence of self-financing and Pareto-improving congestion pricing: Impact of value of time distribution," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(1), pages 39-51, January.
    5. Kijung Ahn, 2009. "Road Pricing and Bus Service Policies," Journal of Transport Economics and Policy, University of Bath, vol. 43(1), pages 25-53, January.
    6. Richard Arnott & An Yan, 2000. "The Two-Mode Problem: Second-Best Pricing and Capacity," Boston College Working Papers in Economics 474, Boston College Department of Economics.
    7. Mogridge, Martin J H, 1997. "The self-defeating nature of urban road capacity policy : A review of theories, disputes and available evidence," Transport Policy, Elsevier, vol. 4(1), pages 5-23, January.
    8. Laurent Denant-Boèmont & Sabrina Hammiche, 2009. "Public Transit Capacity and Users' Choice: AnExperiment on Downs-Thomson Paradox," Post-Print halshs-00406223, HAL.
    9. Light, Thomas, 2009. "Optimal highway design and user welfare under value pricing," Journal of Urban Economics, Elsevier, vol. 66(2), pages 116-124, September.
    10. Liu, Shiyong & Triantis, Konstantinos P. & Sarangi, Sudipta, 2010. "A framework for evaluating the dynamic impacts of a congestion pricing policy for a transportation socioeconomic system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(8), pages 596-608, October.
    11. Leonardo J. Basso & Sergio R. Jara-Díaz, 2010. "The Case for Subsidisation of Urban Public Transport and the Mohring Effect," Journal of Transport Economics and Policy, University of Bath, vol. 44(3), pages 365-372, September.
    12. Ian Savage & Kenneth A. Small, 2010. "A Comment on 'Subsidisation of Urban Public Transport and the Mohring Effect'," Journal of Transport Economics and Policy, University of Bath, vol. 44(3), pages 373-380, September.
    13. Peran van Reeven, 2008. "Subsidisation of Urban Public Transport and the Mohring Effect," Journal of Transport Economics and Policy, University of Bath, vol. 42(2), pages 349-359, May.
    14. Kraus, Marvin, 2012. "Road pricing with optimal mass transit," Journal of Urban Economics, Elsevier, vol. 72(2), pages 81-86.
    15. Bar-Yosef, Asaf & Martens, Karel & Benenson, Itzhak, 2013. "A model of the vicious cycle of a bus line," Transportation Research Part B: Methodological, Elsevier, vol. 54(C), pages 37-50.
    16. Vladimir Karamychev & Peran van Reeven, 2010. "Oversupply or Undersupply in a Public Transport Monopoly? A Rejoinder and Generalisation," Journal of Transport Economics and Policy, University of Bath, vol. 44(3), pages 381-389, September.
    17. Basso, Leonardo J. & Jara-Díaz, Sergio R., 2012. "Integrating congestion pricing, transit subsidies and mode choice," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(6), pages 890-900.
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