Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916912525475840 |
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| author | Colombo, Rinaldo M. Giuzzi, Luca Marcellini, Francesca |
| author_facet | Colombo, Rinaldo M. Giuzzi, Luca Marcellini, Francesca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12416 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations Colombo, Rinaldo M. Giuzzi, Luca Marcellini, Francesca Optimization and Control 90B20, 91A80, 91B74 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. |
| title | Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations |
| topic | Optimization and Control 90B20, 91A80, 91B74 |
| url | https://arxiv.org/abs/2411.12416 |