Scientific publications

Ю.В. Чиркова.

Потенциальная игра в параллельной транспортной сети c симметричными экстерналиями

// Математическая Теория Игр и ее Приложения, т. 15, в. 4. 2023. C. 94-105

Julia V. Chirkova. Potential game in parallel transport network with symmetric externalities // Mathematical game theory and applications. Vol 15. No 4. 2023. Pp. 94-105

Keywords: Wardrop equilibrium, optimal profile, social costs, Price of Anarchy, externalities

The paper considers a model of a transport system with parallel channels and BPR delay functions with symmetric linear externalities. We consider the case where the impact of channel loads to the delay is pairwise symmetric. For this case, it is proved that the game of traffic allocation among channels is potential, and the price of anarchy is limited by the value 4/3.

Indexed at RSCI, RSCI (WS)

vol_15_4_94_chirkova.pdf (330 Kb, total downloads: 75)

Last modified: December 29, 2023