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Competition in multi-modal transport networks: A dynamic approach

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  • van der Weijde, Adriaan Hendrik
  • Verhoef, Erik T.
  • van den Berg, Vincent A.C.

Abstract

We analyze the behavior of market participants in a multi-modal commuter network, where roads are not priced, but public transport has a usage fee, which is set while taking the effects on the roads into account. In particular, we analyze the difference between markets with a monopolistic public transport operator, which operates all public transport links, and markets in which separate operators own each public transport link. To do so, we consider a simple dynamic transport network consisting of two serial segments and two parallel congestible modes of transport. We obtain a reduced form of the public transport operator’s optimal fare setting problem and show that, even if the total travel demand is inelastic, serial Bertrand–Nash competition on the public transport links leads to different fares than a serial monopoly; a result not observed in a static model. This results from the fact that trip timing decisions, and therefore the generalized prices of all commuters, are influenced by all fares in the network. We then use numerical simulations to show that, contrary to the results obtained in classic studies on vertical competition, monopolistic fares are not always lower than duopolistic fares; the opposite can also occur. We also explore how different parameters influence the price differential, and how this affects welfare.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:53:y:2013:i:c:p:31-44
    DOI: 10.1016/j.trb.2013.03.003
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    1. 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.
    2. Arnott, Richard & DePalma, Elijah, 2011. "The corridor problem: Preliminary results on the no-toll equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 743-768, June.
    3. Borger Bruno De & Dunkerley Fay & Proost Stef, 2008. "The Interaction between Tolls and Capacity Investment in Serial and Parallel Transport Networks," Review of Network Economics, De Gruyter, vol. 7(1), pages 1-23, March.
    4. 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.
    5. Arnott Richard & Kraus Marvin, 1995. "Financing Capacity in the Bottleneck Model," Journal of Urban Economics, Elsevier, vol. 38(3), pages 272-290, November.
    6. Li, Zheng & Hensher, David A., 2011. "Crowding and public transport: A review of willingness to pay evidence and its relevance in project appraisal," Transport Policy, Elsevier, vol. 18(6), pages 880-887, November.
    7. Economides, Nicholas & Salop, Steven C, 1992. "Competition and Integration among Complements, and Network Market Structure," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 105-123, March.
    8. Eric Pels & Erik T Verhoef, 2007. "Infrastructure Pricing and Competition between Modes in Urban Transport," Environment and Planning A, , vol. 39(9), pages 2119-2138, September.
    9. Arnott, Richard & Kraus, Marvin, 1993. "The Ramsey problem for congestible facilities," Journal of Public Economics, Elsevier, vol. 50(3), pages 371-396, March.
    10. Henderson, J. V., 1974. "Road congestion : A reconsideration of pricing theory," Journal of Urban Economics, Elsevier, vol. 1(3), pages 346-365, July.
    11. Erik T. Verhoef, 2008. "Private Roads: Auctions and Competition in Networks," Journal of Transport Economics and Policy, University of Bath, vol. 42(3), pages 463-493, September.
    12. Chu Xuehao, 1995. "Endogenous Trip Scheduling: The Henderson Approach Reformulated and Compared with the Vickrey Approach," Journal of Urban Economics, Elsevier, vol. 37(3), pages 324-343, May.
    13. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    14. Mark Wardman & Gerard Whelan, 2011. "Twenty Years of Rail Crowding Valuation Studies: Evidence and Lessons from British Experience," Transport Reviews, Taylor & Francis Journals, vol. 31(3), pages 379-398.
    15. 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.
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    Cited by:

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    2. Kuang, Zhonghong & Lian, Zeng & Lien, Jaimie W. & Zheng, Jie, 2020. "Serial and parallel duopoly competition in multi-segment transportation routes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    3. Guo, Ren-Yong & Szeto, W.Y., 2018. "Day-to-day modal choice with a Pareto improvement or zero-sum revenue scheme," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 1-25.
    4. Hong, Liu & Yan, Yongze & Ouyang, Min & Tian, Hui & He, Xiaozheng, 2017. "Vulnerability effects of passengers' intermodal transfer distance preference and subway expansion on complementary urban public transportation systems," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 58-72.
    5. Guo, Ren-Yong & Szeto, W.Y. & Long, Jiancheng, 2020. "Trial-and-error operation schemes for bimodal transport systems," Transportation Research Part B: Methodological, Elsevier, vol. 131(C), pages 106-123.
    6. de Rus, Ginés & Socorro, M. Pilar, 2014. "Access pricing, infrastructure investment and intermodal competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 374-387.
    7. Wang, Hua & Meng, Qiang & Zhang, Xiaoning, 2014. "Game-theoretical models for competition analysis in a new emerging liner container shipping market," Transportation Research Part B: Methodological, Elsevier, vol. 70(C), pages 201-227.
    8. Adriaan Hendrik van der Weijde, 2014. "Price Differentiation and Discrimination in Transport Networks," Tinbergen Institute Discussion Papers 14-099/VIII, Tinbergen Institute.
    9. McHardy, Jolian & Reynolds, Michael & Trotter, Stephen, 2023. "A consumer surplus, welfare and profit enhancing strategy for improving urban public transport networks," Regional Science and Urban Economics, Elsevier, vol. 100(C).

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    More about this item

    Keywords

    Public transport; Congestion; Competition; Market design;
    All these keywords.

    JEL classification:

    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General
    • L92 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Railroads and Other Surface Transportation
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise
    • R48 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Government Pricing and Policy

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