{
  "id": "1907.09785",
  "version": "v1",
  "published": "2019-07-23T09:29:55.000Z",
  "updated": "2019-07-23T09:29:55.000Z",
  "title": "An example of multiple mean field limits in ergodic differential games",
  "authors": [
    "Pierre Cardaliaguet",
    "Catherine Rainer"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We present an example of symmetric ergodic $N$-players differential games, played in memory strategies on the position of the players, for which the limit set, as $N\\to +\\infty$, of Nash equilibrium payoffs is large, although the game has a single mean field game equilibrium. This example is in sharp contrast with a result by Lacker [23] for finite horizon problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-23T09:29:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple mean field limits",
      "ergodic differential games",
      "single mean field game equilibrium",
      "nash equilibrium payoffs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}