Scientific publications

Никитина Н.Н., Мазалов В.В.

Потенциал в игре заполнения с разными типами транспорта

// Математическая Теория Игр и ее Приложения, т. 15, в. 4. 2023. C. 79-93

Natalia N. Nikitina, Vladimir V. Mazalov. Potential in congestion game with different types of vehicles // Mathematical game theory and applications. Vol 15. No 4. 2023. Pp. 79-93

Keywords: congestion game, routing game, potential, Nash equilibrium, Braess paradox, transport graph

Heterogeneous congestion games make it possible to simulate traffic situations involving multiple classes of vehicles with different preferences in choosing routes. In the presented work, we prove the existence of a potential in a discrete congestion game with n classes of players. Examples are given of calculating equilibria and the emergence of the Braess paradox, as well as the use of the constructed congestion game to analyze the distribution of vehicles in the graph of urban roads of the city of Petrozavodsk.

Indexed at RSCI, RSCI (WS)

vol_15_4_79_nikitina.pdf (740 Kb, total downloads: 46)

Last modified: December 29, 2023