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Public transit service frequency and fares with heterogeneous users under monopoly and alternative regulatory policies

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  • Zhang, Junlin
  • Lindsey, Robin
  • Yang, Hai

Abstract

We present a model of public transit service under monopoly when potential users differ in their willingness to pay and value of time. The transit operator chooses service frequency and the fare to maximize a weighted sum of profit and consumers’ surplus. Profit-maximizing and social-surplus-maximizing frequency decisions are compared using a unified framework that includes results of previous studies as special cases. The prevalence of the Mohring Effect and the need for subsidization are investigated. Four types of regulatory policies are then considered: fare regulation, frequency regulation, goal or objective function regulation, and fiscal regulation whereby the operator receives a subsidy based on consumers’ surplus or demand. A numerical example is used to assess the relative efficiency of the regulatory regimes, and illustrate how the solutions depend on the joint distribution of willingness to pay and value of time.

Suggested Citation

  • Zhang, Junlin & Lindsey, Robin & Yang, Hai, 2018. "Public transit service frequency and fares with heterogeneous users under monopoly and alternative regulatory policies," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 190-208.
    • Handle: RePEc:eee:transb:v:117:y:2018:i:pa:p:190-208
    DOI: 10.1016/j.trb.2018.08.020
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    References listed on IDEAS

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    1. G. F. Newell, 1971. "Dispatching Policies for a Transportation Route," Transportation Science, INFORMS, vol. 5(1), pages 91-105, February.
    2. Mohring, Herbert, 1972. "Optimization and Scale Economies in Urban Bus Transportation," American Economic Review, American Economic Association, vol. 62(4), pages 591-604, September.
    3. Jacobs, Bas & de Mooij, Ruud A., 2015. "Pigou meets Mirrlees: On the irrelevance of tax distortions for the second-best Pigouvian tax," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 90-108.
    4. de Palma, André & Lindsey, Robin & Monchambert, Guillaume, 2017. "The economics of crowding in rail transit," Journal of Urban Economics, Elsevier, vol. 101(C), pages 106-122.
    5. 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.
    6. 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.
    7. Savage, Ian, 2010. "The dynamics of fare and frequency choice in urban transit," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(10), pages 815-829, December.
    8. Kouwenhoven, Marco & de Jong, Gerard C. & Koster, Paul & van den Berg, Vincent A.C. & Verhoef, Erik T. & Bates, John & Warffemius, Pim M.J., 2014. "New values of time and reliability in passenger transport in The Netherlands," Research in Transportation Economics, Elsevier, vol. 47(C), pages 37-49.
    9. Jørgensen, Finn & Pedersen, Pål Andreas, 2004. "Travel distance and optimal transport policy," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 415-430, June.
    10. Peter Tisato, 1991. "Impact of a Cost Minimisation User Cost Model on Public Transport Subsidy," School of Economics and Public Policy Working Papers 1991-05, University of Adelaide, School of Economics and Public Policy.
    11. Sergio Jara-Díaz & Antonio Gschwender, 2003. "Towards a general microeconomic model for the operation of public transport," Transport Reviews, Taylor & Francis Journals, vol. 23(4), pages 453-469, July.
    12. 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.
    13. Tirachini, Alejandro & Hensher, David A. & Jara-Díaz, Sergio R., 2010. "Restating modal investment priority with an improved model for public transport analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 1148-1168, November.
    14. Wardman, Mark, 0. "A review of British evidence on time and service quality valuations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(2-3), pages 107-128, April.
    15. 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.
    16. Moccia, Luigi & Laporte, Gilbert, 2016. "Improved models for technology choice in a transit corridor with fixed demand," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 245-270.
    17. 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.
    18. 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.
    19. Pedersen, Pål Andreas, 2003. "On the optimal fare policies in urban transportation," Transportation Research Part B: Methodological, Elsevier, vol. 37(5), pages 423-435, June.
    20. 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.
    21. repec:bla:econom:v:43:y:1976:i:17:p:127-37 is not listed on IDEAS
    22. A. Michael Spence, 1975. "Monopoly, Quality, and Regulation," Bell Journal of Economics, The RAND Corporation, vol. 6(2), pages 417-429, Autumn.
    Full references (including those not matched with items on IDEAS)

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