{
  "id": "2003.02663",
  "version": "v1",
  "published": "2020-03-04T10:35:50.000Z",
  "updated": "2020-03-04T10:35:50.000Z",
  "title": "Constant payoff in absorbing games",
  "authors": [
    "Miquel Oliu-Barton"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1811.04518 by other authors",
  "categories": [
    "math.OC",
    "math.PR"
  ],
  "abstract": "In this paper, we solve the constant-payoff conjecture formulated by Sorin, Venel and Vigeral (2010), for absorbing games with an arbitrary evaluation of the stage rewards. That is, the existence of a pair of asymptotically optimal strategies, indexed by the evaluation of the stage rewards, so that the average rewards are constant on any fraction of the game. That the constant-payoff conjecture holds for stochastic games with an arbitrary evaluation is still open.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-04T10:35:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "91A06",
      "91A15"
    ],
    "keywords": [
      "absorbing games",
      "constant payoff",
      "arbitrary evaluation",
      "constant-payoff conjecture holds",
      "stage rewards"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}