{
  "id": "0707.0100",
  "version": "v3",
  "published": "2007-07-01T10:14:24.000Z",
  "updated": "2009-05-25T13:21:59.000Z",
  "title": "On the One-Dimensional Optimal Switching Problem",
  "authors": [
    "Erhan Bayraktar",
    "Masahiko Egami"
  ],
  "comment": "Keywords: Optimal switching problem, optimal stopping problem, It\\^{o} diffusions",
  "categories": [
    "math.OC",
    "math.PR"
  ],
  "abstract": "We explicitly solve the optimal switching problem for one-dimensional diffusions by directly employing the dynamic programming principle and the excessive characterization of the value function. The shape of the value function and the smooth fit principle then can be proved using the properties of concave functions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-05-25T13:21:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G40",
      "60J60"
    ],
    "keywords": [
      "one-dimensional optimal switching problem",
      "value function",
      "smooth fit principle",
      "dynamic programming principle",
      "one-dimensional diffusions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.0100B"
    }
  }
}