{
  "id": "2411.12416",
  "version": "v1",
  "published": "2024-11-19T11:03:08.000Z",
  "updated": "2024-11-19T11:03:08.000Z",
  "title": "Nash Equilibria in Traffic Networks with Multiple Populations and Origins-Destinations",
  "authors": [
    "Rinaldo M. Colombo",
    "Luca Giuzzi",
    "Francesca Marcellini"
  ],
  "comment": "23 pages",
  "categories": [
    "math.OC"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-19T11:03:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90B20",
      "91A80",
      "91B74"
    ],
    "keywords": [
      "nash equilibrium",
      "traffic networks",
      "multiple populations",
      "travel costs",
      "origins-destinations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}