@inbook{1dc83987c24c47f9962c88ebcb4190c0,
title = "Nash Equilibrium in a Road Network with Many Groups of Users",
abstract = "In this chapter concentrates on the relationships between individual and group behaviour of drivers in a road network. Such relationships are established by comparing the optimal routing of drivers (system optimum of Wardrop), the competitive drivers{\textquoteright} groups routing (Nash equilibrium), and the selfish drivers routing (user equilibrium of Wardrop). Thus, the boundary conditions for traffic assignment in a road network were recently obtained for the first time. Wide analytical discussion on the topic as well as a survey of relevant references are presented. Moreover, a new behavioural model of traffic assignment in case of simultaneous selfish and group behaviour of drivers in a road network is formulated in the last section. An explicit solution to a behavioural traffic assignment problem is offered for a single-commodity linear network with non-interfering routes.",
author = "Alexander Krylatov and Victor Zakharov and Tero Tuovinen",
note = "Krylatov A., Zakharov V., Tuovinen T. (2020) Nash Equilibrium in a Road Network with Many Groups of Users. In: Optimization Models and Methods for Equilibrium Traffic Assignment. Springer Tracts on Transportation and Traffic, vol 15. Springer, Cham",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-3-030-34102-2_3",
language = "English",
isbn = "9783030341015",
series = "Springer Tracts on Transportation and Traffic",
publisher = "Springer Nature",
pages = "45--70",
booktitle = "Optimization Models and Methods for Equilibrium Traffic Assignment",
address = "Germany",
}