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

Rinaldo M. Colombo (), Luca Giuzzi () and Francesca Marcellini ()
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Rinaldo M. Colombo: University of Brescia
Luca Giuzzi: University of Brescia
Francesca Marcellini: University of Brescia

Journal of Optimization Theory and Applications, 2025, vol. 206, issue 2, No 10, 26 pages

Abstract: 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.

Keywords: Nash Equilibria on Traffic Networks; Multi-Populations Braess Paradox; Multi-Populations Models on Networks; 90B20; 91A80; 91B74 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02706-4

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