{
  "id": "2104.13131",
  "version": "v1",
  "published": "2021-04-27T12:19:28.000Z",
  "updated": "2021-04-27T12:19:28.000Z",
  "title": "The Ordered Join of Impartial Games",
  "authors": [
    "Mišo Gavrilović",
    "Alexander Thumm"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Inspired by the theory of poset games, we introduce a new compound of impartial combinatorial games and provide a complete analysis in the spirit of Sprague and Grundy. Furthermore, we establish several substitution and reduction principles for this compound and consider its computational aspects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-27T12:19:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "91A46"
    ],
    "keywords": [
      "impartial games",
      "ordered join",
      "impartial combinatorial games",
      "computational aspects",
      "poset games"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}