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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2024, Volume 30, Number 3, Pages 182–190
DOI: https://doi.org/10.21538/0134-4889-2024-30-3-182-190 (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
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DOI: https://doi.org/10.21538/0134-4889-2024-30-3-182-190
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.
Funding agency Grant number
Russian Science Foundation 22-11-20015
This work was supported by the Russian Science Foundation (project no. 22-11-20015) jointly with the authorities of the Republic of Karelia with financing from the Venture Investment Fund of the Republic of Karelia, https://rscf.ru/en/project/22-11-20015/.
Received: 22.04.2024
Revised: 12.06.2024
Accepted: 17.06.2024
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2024, Volume 327, Issue 1, Pages S207–S214
DOI: https://doi.org/10.1134/S0081543824070150
Bibliographic databases:
Document Type: Article
UDC: 519.83
MSC: 91A10
Language: Russian
Citation: V. V. Mazalov, E. N. Konovalchikova, “Equilibrium in a pricing model for a public transport market”, Trudy Inst. Mat. i Mekh. UrO RAN, 30, no. 3, 2024, 182–190; Proc. Steklov Inst. Math., 327, suppl. 1 (2024), S207–S214
Citation in format AMSBIB
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\by V.~V.~Mazalov, E.~N.~Konovalchikova
\paper Equilibrium in a pricing model for a public transport market
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2024
\vol 30
\issue 3
\pages 182--190
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\crossref{https://doi.org/10.21538/0134-4889-2024-30-3-182-190}
\elib{https://elibrary.ru/item.asp?id=69053420}
\edn{https://elibrary.ru/msowvp}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 327
\issue , suppl. 1
\pages S207--S214
\crossref{https://doi.org/10.1134/S0081543824070150}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105000071218}
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