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Waiting in the queue on Hotelling’s Main Street

Author

Listed:
  • Peters, H.J.M.

    (Quantitative Economics)

  • Schröder, M.J.W.

    (Quantitative Economics)

  • Vermeulen, A.J.

    (Quantitative Economics)

Abstract

We consider a variant of Hotelling’s location model that was proposed by Kohlberg (1983): when choosing a firm, consumers take travel time and also (expected) waiting time, which again depends on the number of consumers choosing that firm, into consideration. If we assume that firms are symmetric, then we show that a subgame perfect equilibrium exists if there is an even, but small, number of firms and no subgame perfect equilibrium exists if there is an odd, but small, number of firms. Further, we illustrate by means of examples what other subgame perfect equilibria exist if we allow for asymmetric firms.

Suggested Citation

  • Peters, H.J.M. & Schröder, M.J.W. & Vermeulen, A.J., 2015. "Waiting in the queue on Hotelling’s Main Street," Research Memorandum 040, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2015040
    DOI: 10.26481/umagsb.2015040
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    References listed on IDEAS

    as
    1. Kohlberg, Elon, 1983. "Equilibrium store locations when consumers minimize travel time plus waiting time," Economics Letters, Elsevier, vol. 11(3), pages 211-216.
    2. B. Curtis Eaton & Richard G. Lipsey, 1975. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 27-49.
    3. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
    4. Gaëtan Fournier & Marco Scarsini, 2014. "Hotelling Games on Networks: Efficiency of Equilibria," Post-Print halshs-00983085, HAL.
    5. Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, vol. 55(4), pages 911-922, July.
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