{
  "id": "1712.08509",
  "version": "v1",
  "published": "2017-12-21T17:17:41.000Z",
  "updated": "2017-12-21T17:17:41.000Z",
  "title": "Infinitely Split Nash Equilibrium Problems in Repeated Games",
  "authors": [
    "Jinlu Li"
  ],
  "categories": [
    "math.OC",
    "cs.GT",
    "math.DS"
  ],
  "abstract": "In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by using a fixed point theorem on posets in [8], we prove an existence theorem. As an application, we study the repeated extended Bertrant duopoly model of price competition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-21T17:17:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J40",
      "49J52",
      "91A10",
      "91A25",
      "91A80"
    ],
    "keywords": [
      "infinitely split nash equilibrium problems",
      "repeated games",
      "extended bertrant duopoly model",
      "chain-complete posets",
      "fixed point theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}