Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations
Optimization and Control
2025-08-26 v1
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.
Cite
@article{arxiv.2411.12416,
title = {Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations},
author = {Rinaldo M. Colombo and Luca Giuzzi and Francesca Marcellini},
journal= {arXiv preprint arXiv:2411.12416},
year = {2025}
}
Comments
23 pages