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Equilibrium Arrivals to a Last-come First-served Preemptive-resume Queue

Author

Listed:
  • Breinbjerg, Jesper

    (Department of Business and Economics, University of Southern Denmark)

  • Platz, Trine Tornøe

    (Department of Economics, Copenhagen Business School)

  • Østerdal, Lars Peter

    (Department of Economics, Copenhagen Business School)

Abstract

We consider a queueing system where a single server opens and serves users according to the last-come first-served discipline with preemptive-resume (LCFS-PR). A finite number of strategic users must choose individually when to arrive at the server. We allow for general classes of user preferences and service time distributions and show existence and uniqueness of a symmetric Nash equilibrium. Furthermore, we show that no asymmetric equilibrium exists, if the population consists of only two users, or if arrival strategies satisfy a mild regularity condition. Based on the constructive existence proof for the symmetric equilibrium, we provide a numerical example in which we compute the symmetric equilibrium strategy and compare the resulting social efficiency to that obtained if users are instead served on a first-come first-served (FCFS) basis.

Suggested Citation

  • Breinbjerg, Jesper & Platz, Trine Tornøe & Østerdal, Lars Peter, 2020. "Equilibrium Arrivals to a Last-come First-served Preemptive-resume Queue," Working Papers 17-2020, Copenhagen Business School, Department of Economics.
    • Handle: RePEc:hhs:cbsnow:2020_017
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    References listed on IDEAS

    as
    1. Rapoport, Amnon & Stein, William E. & Parco, James E. & Seale, Darryl A., 2004. "Equilibrium play in single-server queues with endogenously determined arrival times," Journal of Economic Behavior & Organization, Elsevier, vol. 55(1), pages 67-91, September.
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    More about this item

    Keywords

    Queueing; Strategic arrivals; Nash equilibrium; LCFS-PR; FCFS;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - Transportation: Demand, Supply, and Congestion; Travel Time; Safety and Accidents; Transportation Noise

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