Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations
arXiv:2411.12416 · doi:10.1007/s10957-025-02706-4
Abstract
Different populations of vehicles travel along a network. Each population has its origin, destination and travel costs - which may well be unbounded. Under the only requirement of the continuity of the travel costs, we prove the existence of a Nash equilibrium for all populations. Conditions for its uniqueness are also provided. A few cases are treated in detail to show specific situations of interest.
23 pages