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.
Nash Equilibria in Traffic Networks with Multiple Populations and Origins–Destinations
Colombo, Rinaldo M.
;Giuzzi, Luca;Marcellini, Francesca
2025-01-01
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.File in questo prodotto:
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