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Overcoming the Downs-Thomson Paradox by transit subsidy policies

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  • Wang, Wei (Walker)
  • Wang, David Z.W.
  • Zhang, Fangni
  • Sun, Huijun
  • Zhang, Wenyi
  • Wu, Jianjun

Abstract

Consider a competitive highway/transit transportation system in which travelers either drive on the bottleneck-constrained highway or take scheduled trains from home to the workplace in the morning peak hours. This paper explores the impact of bottleneck capacity expansion on transit operating schemes (fleet size and fare) and travelers’ departure time and mode choices. Due to the potential occurrence of the Downs-Thomson (D-T) Paradox after highway capacity expansion, the paper investigates whether the D-T Paradox can be circumvented by implementing transit subsidy policies. The effects of different transit subsidy schemes are explored: subsidizing the transit company (cost subsidy) or the passengers (passenger subsidy) with the financial support from either government funding or road pricing revenue. For each combination of subsidy method and financial sourcing, the condition for overcoming the D-T Paradox is established.

Suggested Citation

  • Wang, Wei (Walker) & Wang, David Z.W. & Zhang, Fangni & Sun, Huijun & Zhang, Wenyi & Wu, Jianjun, 2017. "Overcoming the Downs-Thomson Paradox by transit subsidy policies," Transportation Research Part A: Policy and Practice, Elsevier, vol. 95(C), pages 126-147.
    • Handle: RePEc:eee:transa:v:95:y:2017:i:c:p:126-147
    DOI: 10.1016/j.tra.2016.11.003
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    as
    1. (Walker) Wang, Wei & Wang, David Z.W. & Sun, Huijun & Feng, Zengzhe & Wu, Jianjun, 2016. "Braess Paradox of traffic networks with mixed equilibrium behaviors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 95-114.
    2. Tscharaktschiew, Stefan & Hirte, Georg, 2012. "Should subsidies to urban passenger transport be increased? A spatial CGE analysis for a German metropolitan area," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(2), pages 285-309.
    3. Yao, Jia & Chen, Anthony, 2014. "An analysis of logit and weibit route choices in stochastic assignment paradox," Transportation Research Part B: Methodological, Elsevier, vol. 69(C), pages 31-49.
    4. Mohring, Herbert, 1972. "Optimization and Scale Economies in Urban Bus Transportation," American Economic Review, American Economic Association, vol. 62(4), pages 591-604, September.
    5. 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.
    6. Huang, Hai-Jun, 2002. "Pricing and logit-based mode choice models of a transit and highway system with elastic demand," European Journal of Operational Research, Elsevier, vol. 140(3), pages 562-570, August.
    7. Du, Bo & Wang, David Z.W., 2014. "Continuum modeling of park-and-ride services considering travel time reliability and heterogeneous commuters – A linear complementarity system approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 71(C), pages 58-81.
    8. Dietrich Braess & Anna Nagurney & Tina Wakolbinger, 2005. "On a Paradox of Traffic Planning," Transportation Science, INFORMS, vol. 39(4), pages 446-450, November.
    9. Liu, Tian-Liang & Huang, Hai-Jun & Yang, Hai & Zhang, Xiaoning, 2009. "Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 692-707, July.
    10. Feng Xiao & H. M. Zhang, 2014. "Pareto-Improving and Self-Sustainable Pricing for the Morning Commute with Nonidentical Commuters," Transportation Science, INFORMS, vol. 48(2), pages 159-169, May.
    11. Huang, Hai-Jun, 2000. "Fares and tolls in a competitive system with transit and highway: the case with two groups of commuters," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 36(4), pages 267-284, December.
    12. Tian, Li-Jun & Huang, Hai-Jun, 2015. "Modeling the modal split and trip scheduling with commuters’ uncertainty expectation," European Journal of Operational Research, Elsevier, vol. 244(3), pages 815-822.
    13. Liu, Tian-Liang & Chen, Jian & Huang, Hai-Jun, 2011. "Existence and efficiency of oligopoly equilibrium under toll and capacity competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 908-919.
    14. Wei-Hua Lin & Hong K. Lo, 2009. "Investigating Braess' Paradox with Time-Dependent Queues," Transportation Science, INFORMS, vol. 43(1), pages 117-126, February.
    15. Kraus, Marvin, 2003. "A new look at the two-mode problem," Journal of Urban Economics, Elsevier, vol. 54(3), pages 511-530, November.
    16. Wang, David Z.W. & Du, Bo, 2016. "Continuum modelling of spatial and dynamic equilibrium in a travel corridor with heterogeneous commuters—A partial differential complementarity system approach," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 1-18.
    17. Zhang, Fangni & Lindsey, Robin & Yang, Hai, 2016. "The Downs–Thomson paradox with imperfect mode substitutes and alternative transit administration regimes," Transportation Research Part B: Methodological, Elsevier, vol. 86(C), pages 104-127.
    18. Huang, Hai-Jun & Tian, Qiong & Yang, Hai & Gao, Zi-You, 2007. "Modal split and commuting pattern on a bottleneck-constrained highway," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 578-590, September.
    19. de Palma, André & Kilani, Moez & Proost, Stef, 2015. "Discomfort in mass transit and its implication for scheduling and pricing," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 1-18.
    20. Kraus, Marvin, 2012. "Road pricing with optimal mass transit," Journal of Urban Economics, Elsevier, vol. 72(2), pages 81-86.
    21. Zhao, Chunxue & Fu, Baibai & Wang, Tianming, 2014. "Braess paradox and robustness of traffic networks under stochastic user equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 135-141.
    22. Tian, Qiong & Huang, Hai-Jun & Yang, Hai, 2007. "Equilibrium properties of the morning peak-period commuting in a many-to-one mass transit system," Transportation Research Part B: Methodological, Elsevier, vol. 41(6), pages 616-631, July.
    23. Yang, Hai & Bell, Michael G. H., 1998. "A capacity paradox in network design and how to avoid it," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(7), pages 539-545, September.
    24. Di, Xuan & He, Xiaozheng & Guo, Xiaolei & Liu, Henry X., 2014. "Braess paradox under the boundedly rational user equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 86-108.
    25. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January.
    26. 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.
    27. Frankena, Mark W., 1981. "The effects of alternative urban transit subsidy formulas," Journal of Public Economics, Elsevier, vol. 15(3), pages 337-348, June.
    28. Basso, Leonardo J. & Guevara, Cristián Angelo & Gschwender, Antonio & Fuster, Marcelo, 2011. "Congestion pricing, transit subsidies and dedicated bus lanes: Efficient and practical solutions to congestion," Transport Policy, Elsevier, vol. 18(5), pages 676-684, September.
    29. 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.
    30. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    31. Wen-Xiang Wu & Hai-Jun Huang, 2014. "Equilibrium and Modal Split in a Competitive Highway/Transit System Under Different Road-use Pricing Strategies," Journal of Transport Economics and Policy, University of Bath, vol. 48(1), pages 153-169, January.
    32. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    33. 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.
    34. Feng Xiao & Zhen Qian & H. Zhang, 2011. "The Morning Commute Problem with Coarse Toll and Nonidentical Commuters," Networks and Spatial Economics, Springer, vol. 11(2), pages 343-369, June.
    35. Lu, Xiao-Shan & Liu, Tian-Liang & Huang, Hai-Jun, 2015. "Pricing and mode choice based on nested logit model with trip-chain costs," Transport Policy, Elsevier, vol. 44(C), pages 76-88.
    36. Tabuchi Takatoshi, 1993. "Bottleneck Congestion and Modal Split," Journal of Urban Economics, Elsevier, vol. 34(3), pages 414-431, November.
    37. Qian, Zhen (Sean) & Xiao, Feng (Evan) & Zhang, H.M., 2011. "The economics of parking provision for the morning commute," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(9), pages 861-879, November.
    38. Xiao, Feng & Shen, Wei & Michael Zhang, H., 2012. "The morning commute under flat toll and tactical waiting," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1346-1359.
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