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Contributions to Game Theory and Management, 2023, Volume 16, Pages 53–60
DOI: https://doi.org/10.21638/11701/spbu31.2023.03
(Mi cgtm439)
 

Symmetric Nash equilibrium arrivals to queuing system

Julia V. Chirkova

Institute of Applied Mathematical Research, Karelian Research Centre of RAS, Pushkinskaya str., 11, Petrozavodsk, Karelia, 185910, Russia
References:
Abstract: We consider a game-theoretic setting for the queuing system models where input process of arrivals is strategic. This paper generalizes a methodology for the symmetric Nash equilibrium exploring in queuing system with loss. We assume that the system admits customer requests at the time interval $[0,T]$. Each of customers chooses the moment to send his request into the system maximizing his payoff. Several models of certain systems are presented as examples demonstrating a result of the methodology application.
Keywords: queueing system, strategic customers, optimal arrivals, Kolmogorov backward equations, Nash equilibrium.
Funding agency Grant number
Russian Science Foundation 22-11-20015
This research was supported by the Russian Science Foundation: grant No. 22-11-20015, https://rscf.ru/project/22-11-20015/, jointly with support of the authorities of the Republic of Karelia with funding from the Venture Investment Foundation of the Republic of Karelia.
Document Type: Article
Language: English
Citation: Julia V. Chirkova, “Symmetric Nash equilibrium arrivals to queuing system”, Contributions to Game Theory and Management, 16 (2023), 53–60
Citation in format AMSBIB
\Bibitem{Chi23}
\by Julia~V.~Chirkova
\paper Symmetric Nash equilibrium arrivals to queuing system
\jour Contributions to Game Theory and Management
\yr 2023
\vol 16
\pages 53--60
\mathnet{http://mi.mathnet.ru/cgtm439}
\crossref{https://doi.org/10.21638/11701/spbu31.2023.03}
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