{
  "id": "1802.08412",
  "version": "v1",
  "published": "2018-02-23T07:01:58.000Z",
  "updated": "2018-02-23T07:01:58.000Z",
  "title": "A Game Problem for Heat Equation",
  "authors": [
    "Lijuan Wang",
    "Donghui Yang",
    "Zhiyong Yu"
  ],
  "comment": "10 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we consider a two-person game problem governed by a linear heat equation. The existence of Nash equilibrium for this problem is considered. Moreover, the bang-bang property of Nash equilibrium is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-23T07:01:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nash equilibrium",
      "two-person game problem",
      "linear heat equation",
      "bang-bang property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}