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Equilibrium at a bottleneck when long-run and short-run scheduling preferences diverge

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  • Peer, Stefanie
  • Verhoef, Erik T.
Abstract
We consider the use of a Vickrey road bottleneck in the context of repetitive scheduling choices, distinguishing between long-run and short-run scheduling preferences. The preference structure reflects that there is a distinction between the (exogenous) ‘long-run preferred arrival time’, which would be relevant if consumers were unconstrained in the scheduling of their activities, and the ‘short-run preferred arrival time’, which is the result of an adaptation of travel routines in the face of constraints caused by, in particular, time-varying congestion levels. We characterize the unpriced equilibrium, the social optimum as well as second-best situations where the availability of the pricing instruments is restricted. All of them entail a dispersed distribution of short-run preferred arrival times. We obtain the intriguing results that the dispersion is lower in the social optimum than in the unpriced equilibrium, and that the application of first-best short-run tolls does not induce efficient long-run choices of travel routines.

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  • Peer, Stefanie & Verhoef, Erik T., 2013. "Equilibrium at a bottleneck when long-run and short-run scheduling preferences diverge," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 12-27.
    • Handle: RePEc:eee:transb:v:57:y:2013:i:c:p:12-27
    DOI: 10.1016/j.trb.2013.09.001
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    1. Dennis W. Carlton & Glenn C. Loury, 1980. "The Limitations of Pigouvian Taxes as a Long-Run Remedy for Externalities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 559-566.
    2. Arnott, Richard, 2007. "Congestion tolling with agglomeration externalities," Journal of Urban Economics, Elsevier, vol. 62(2), pages 187-203, September.
    3. Tseng, Yin-Yen & Verhoef, Erik T., 2008. "Value of time by time of day: A stated-preference study," Transportation Research Part B: Methodological, Elsevier, vol. 42(7-8), pages 607-618, August.
    4. Stefanie Peer & Erik Verhoef & Jasper Knockaert & Paul Koster & Yin-Yen Tseng, 2011. "Long-Run vs. Short-Run Perspectives on Consumer Scheduling: Evidence from a Revealed-Preference Experiment among Peak-Hour Road Commuters," Tinbergen Institute Discussion Papers 11-181/3, Tinbergen Institute, revised 25 Aug 2014.
    5. Smith, M. J., 1979. "The existence, uniqueness and stability of traffic equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 295-304, December.
    6. Dennis W. Carlton & Glenn C. Loury, 1986. "The Limitation of Pigouvian Taxes as a Long-Run Remedy for Externalities: An Extension of Results," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(3), pages 631-634.
    7. Jenelius, Erik & Mattsson, Lars-Göran & Levinson, David, 2011. "Traveler delay costs and value of time with trip chains, flexible activity scheduling and information," Transportation Research Part B: Methodological, Elsevier, vol. 45(5), pages 789-807, June.
    8. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-179, March.
    9. Fosgerau, Mogens & Lindsey, Robin, 2013. "Trip-timing decisions with traffic incidents," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 764-782.
    10. Van Ommeren, Jos & Fosgerau, Mogens, 2009. "Workers' marginal costs of commuting," Journal of Urban Economics, Elsevier, vol. 65(1), pages 38-47, January.
    11. Robin Lindsey, 2004. "Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes," Transportation Science, INFORMS, vol. 38(3), pages 293-314, August.
    12. Mogens Fosgerau & Kenneth Small, 2017. "Endogenous Scheduling Preferences And Congestion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(2), pages 585-615, May.
    13. Weiss, Yoram, 1996. "Synchronization of Work Schedules," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(1), pages 157-179, February.
    14. Zhang, Xiaoning & Yang, Hai & Huang, Hai-Jun & Zhang, H. Michael, 2005. "Integrated scheduling of daily work activities and morning-evening commutes with bottleneck congestion," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(1), pages 41-60, January.
    15. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    16. Erik T. Verhoef, 2000. "articles: The implementation of marginal external cost pricing in road transport Long run vs short run and first-best vs second-best," Papers in Regional Science, Springer;Regional Science Association International, vol. 79(3), pages 307-332.
    17. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1990. "Economics of a bottleneck," Journal of Urban Economics, Elsevier, vol. 27(1), pages 111-130, January.
    18. Carlos F. Daganzo, 1985. "The Uniqueness of a Time-dependent Equilibrium Distribution of Arrivals at a Single Bottleneck," Transportation Science, INFORMS, vol. 19(1), pages 29-37, February.
    19. Jos Van Ommeren & Gerard J. Van Den Berg & Cees Gorter, 2000. "Estimating the Marginal Willingness to Pay for Commuting," Journal of Regional Science, Wiley Blackwell, vol. 40(3), pages 541-563, August.
    20. Henderson, J. Vernon, 1981. "The economics of staggered work hours," Journal of Urban Economics, Elsevier, vol. 9(3), pages 349-364, May.
    21. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1999. "Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand," European Economic Review, Elsevier, vol. 43(3), pages 525-548, March.
    22. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1996. "Information and Usage of Free-Access Congestible Facilities with Stochastic Capacity and Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(1), pages 181-203, February.
    23. Börjesson, Maria & Eliasson, Jonas & Franklin, Joel, 2012. "Valuations of travel time variability in scheduling versus mean-variance models," Working papers in Transport Economics 2012:2, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    24. Gordon F. Newell, 1987. "The Morning Commute for Nonidentical Travelers," Transportation Science, INFORMS, vol. 21(2), pages 74-88, May.
    25. Chris Hendrickson & George Kocur, 1981. "Schedule Delay and Departure Time Decisions in a Deterministic Model," Transportation Science, INFORMS, vol. 15(1), pages 62-77, February.
    26. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    27. Spulber, Daniel F., 1985. "Effluent regulation and long-run optimality," Journal of Environmental Economics and Management, Elsevier, vol. 12(2), pages 103-116, June.
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    Citations

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    Cited by:

    1. Takayama, Yuki, 2015. "Bottleneck congestion and distribution of work start times: The economics of staggered work hours revisited," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 830-847.
    2. Kosíková, Renata & Krčál, Ondřej & Peer, Stefanie, 2024. "The value of time in a repeated and one-off setup," Research in Transportation Economics, Elsevier, vol. 103(C).
    3. Takayama, Yuki & Kuwahara, Masao, 2017. "Bottleneck congestion and residential location of heterogeneous commuters," Journal of Urban Economics, Elsevier, vol. 100(C), pages 65-79.
    4. Stefanie Peer & Erik Verhoef & Jasper Knockaert & Paul Koster & Yin‐Yen Tseng, 2015. "Long‐Run Versus Short‐Run Perspectives On Consumer Scheduling: Evidence From A Revealed‐Preference Experiment Among Peak‐Hour Road Commuters," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(1), pages 303-323, February.
    5. Stefanie Peer & Erik Verhoef & Jasper Knockaert & Paul Koster & Yin-Yen Tseng, 2011. "Long-Run vs. Short-Run Perspectives on Consumer Scheduling: Evidence from a Revealed-Preference Experiment among Peak-Hour Road Commuters," Tinbergen Institute Discussion Papers 11-181/3, Tinbergen Institute, revised 25 Aug 2014.
    6. Verhoef, Erik T., 2020. "Optimal congestion pricing with diverging long-run and short-run scheduling preferences," Transportation Research Part B: Methodological, Elsevier, vol. 134(C), pages 191-209.
    7. 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.
    8. Xiaojuan Yu & Vincent A.C. van den Berg & Erik T. Verhoef, 2024. "Preference heterogeneity in a dynamic flow congestion model," Tinbergen Institute Discussion Papers 24-025/VIII, Tinbergen Institute.
    9. Li, Zhi-Chun & Huang, Hai-Jun & Yang, Hai, 2020. "Fifty years of the bottleneck model: A bibliometric review and future research directions," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 311-342.

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    More about this item

    Keywords

    Bottleneck model; Scheduling choices; Travel routine choices; Departure time choices; Travel information; Long-run vs. short-run choices;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • R48 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Government Pricing and Policy
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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