Geodesic
Symmetric Nash equilibrium arrivals to queuing system
Contributions to game theory and management, Tome 16 (2023), pp. 53-60

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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. 
@article{CGTM_2023_16_a3,
     author = {Julia V. Chirkova},
     title = {Symmetric {Nash} equilibrium arrivals to queuing system},
     journal = {Contributions to game theory and management},
     pages = {53--60},
     publisher = {mathdoc},
     volume = {16},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2023_16_a3/}
}
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Julia V. Chirkova. Symmetric Nash equilibrium arrivals to queuing system. Contributions to game theory and management, Tome 16 (2023), pp. 53-60. http://geodesic.mathdoc.fr/item/CGTM_2023_16_a3/