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arXiv · 2411.12416

Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations

Rinaldo M. Colombo·Luca Giuzzi·Francesca Marcellini
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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.

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Rinaldo M. Colombo, Luca Giuzzi, Francesca Marcellini. 2024-11-19. Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations. https://doi.org/10.1007/s10957-025-02706-4

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