TY - JOUR

T1 - Potential in Congestion Game with Different Types of Vehicles

AU - Nikitina, N. N.

AU - Mazalov, V. V.

PY - 2024

Y1 - 2024

N2 - Heterogeneous congestion games make it possible to simulate traffic situations involving multiple classes of vehicles with different preferences in choosing routes. In this work, we prove the existence of a potential in a discrete congestion game with n classes of players. Examples are given in which we calculate equilibria and demonstrate the emergence of the Braess paradox, as well as use the constructed congestion game to analyze the distribution of vehicles in the graph of urban roads for the city of Petrozavodsk.

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

U2 - 10.1134/S1064562424602580

DO - 10.1134/S1064562424602580

M3 - статья

VL - 110

SP - S433-S439

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 2

ER -