{
  "id": "2010.14198",
  "version": "v1",
  "published": "2020-10-27T11:09:53.000Z",
  "updated": "2020-10-27T11:09:53.000Z",
  "title": "On the expected number of real roots of random polynomials arising from evolutionary game theory",
  "authors": [
    "V. H. Can",
    "M. H. Duong",
    "V. H. Pham"
  ],
  "comment": "21 pages",
  "categories": [
    "math.PR",
    "q-bio.PE",
    "q-bio.QM"
  ],
  "abstract": "In this paper, we obtain finite estimates and asymptotic formulas for the expected number of real roots of two classes of random polynomials arising from evolutionary game theory. As a consequence of our analysis, we achieve an asymptotic formula for the expected number of internal equilibria in multi-player two-strategy random evolutionary games. Our results contribute both to evolutionary game theory and random polynomial theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-27T11:09:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "evolutionary game theory",
      "random polynomials arising",
      "expected number",
      "real roots",
      "multi-player two-strategy random evolutionary games"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}