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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2024 Volume 30, Number 3, Pages 182–190 (Mi timm2113)

Equilibrium in a pricing model for a public transport market

V. V. Mazalova, E. N. Konovalchikovab

a Institute of Applied Mathematical Research of the Karelian Research Centre RAS, Petrozavodsk
b Department of Multidisciplinary Scientific Research of the Karelian Research Centre of the Russian Academy of Sciences

Abstract: A game-theoretic model of pricing in an urban public transport market is considered. It is assumed that the players in the model are transport companies serving urban public transport routes, and the distribution of passengers along the routes is subject to the Hotelling specification. The study focuses on the Nash equilibrium in the pricing game in the transport services market. The results of numerical modeling are presented using the example of the transport system in the city of Petrozavodsk.

Keywords: Nash equilibrium, public transport market, Hotelling specification.

UDC: 519.83

MSC: 91A10

Received: 22.04.2024
Revised: 12.06.2024
Accepted: 17.06.2024

DOI: 10.21538/0134-4889-2024-30-3-182-190


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2024, 327, suppl. 1, S207–S214

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© Steklov Math. Inst. of RAS, 2025