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Equilibrium Prices and Flows in the Passenger Traffic Problem

Author

Listed:
  • V. V. Mazalov

    (Institute of Applied Mathematical Research, Karelian Research Center, Russian Academy of Sciences, Pushkinskaya str. 11, Petrozavodsk 185910, Russia)

  • A. V. Melnik

    (Saint-Petersburg State University, Universitetskii pr. 35, Saint Petersburg 198504, Russia)

Abstract

This paper considers a noncooperative transport game of n players on a communication graph. Here players are passenger transportation companies (carriers). Service requests form a Poisson process with an intensity rate matrix Λ. Players announce prices for their services and passengers choose an appropriate service by minimizing their individual costs (the ticket price and the expected service time). For each carrier, we solve the pricing problem and define the equilibrium intensity flows in the conditions of competition. A special emphasis is placed on polynomial latency functions.

Suggested Citation

  • V. V. Mazalov & A. V. Melnik, 2016. "Equilibrium Prices and Flows in the Passenger Traffic Problem," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-19, March.
    • Handle: RePEc:wsi:igtrxx:v:18:y:2016:i:01:n:s0219198916500018
    DOI: 10.1142/S0219198916500018
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    References listed on IDEAS

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    1. Spiess, Heinz & Florian, Michael, 1989. "Optimal strategies: A new assignment model for transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 83-102, April.
    2. Eitan Altman & Nahum Shimkin, 1998. "Individual Equilibrium and Learning in Processor Sharing Systems," Operations Research, INFORMS, vol. 46(6), pages 776-784, December.
    3. Levhari, David & Luski, Israel, 1978. "Duopoly pricing and waiting lines," European Economic Review, Elsevier, vol. 11(1), pages 17-35, February.
    4. Hämäläinen, Raimo P. & Luoma, Jukka & Saarinen, Esa, 2013. "On the importance of behavioral operational research: The case of understanding and communicating about dynamic systems," European Journal of Operational Research, Elsevier, vol. 228(3), pages 623-634.
    5. Yang, Hai & Huang, Hai-Jun, 2004. "The multi-class, multi-criteria traffic network equilibrium and systems optimum problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 1-15, January.
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    Cited by:

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    2. Vasco F. Alves, 2019. "Pricing and waiting time decisions in a health care market with private and public provision," Journal of Applied Economics, Taylor & Francis Journals, vol. 22(1), pages 174-195, January.
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    4. Zeng Lian & Jie Zheng, 2021. "A Dynamic Model of Cournot Competition for an Oligopolistic Market," Mathematics, MDPI, vol. 9(5), pages 1-18, February.
    5. Vladimir Mazalov & Elena Konovalchikova, 2020. "Hotelling’s Duopoly in a Two-Sided Platform Market on the Plane," Mathematics, MDPI, vol. 8(6), pages 1-16, May.

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