{
  "id": "1812.11374",
  "version": "v1",
  "published": "2018-12-29T15:08:25.000Z",
  "updated": "2018-12-29T15:08:25.000Z",
  "title": "Mean Field Games with state constraints: from mild to pointwise solutions of the PDE system",
  "authors": [
    "Piermarco Cannarsa",
    "Rossana Capuani",
    "Pierre Cardaliaguet"
  ],
  "categories": [
    "math.OC",
    "math.AP"
  ],
  "abstract": "Mean Field Games with state constraints are differential games with infinitely many agents, each agent facing a constraint on his state. The aim of this paper is to provide a meaning of the PDE system associated with these games, the so-called Mean Field Game system with state constraints. For this, we show a global semiconvavity property of the value function associated with optimal control problems with state constraints.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-29T15:08:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "state constraints",
      "pde system",
      "pointwise solutions",
      "mean field game system",
      "global semiconvavity property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}