{
  "aliases": [
    "maker-maker-game"
  ],
  "backlinks": null,
  "body": "\n## Summary\n\nA **strong positional game** (also called **Maker-Maker game**) is a kind of positional game. Like most positional games, it is described by its set of *positions* ($X$) and its family of *winning-sets* ($\\mathcal{F}$- a [[family of subsets|05Q6G4EH2G]] of $X$). It is played by two players, called First and Second, who alternately take previously untaken positions.\n",
  "commit": "4a3290d299c8b2cd6493fce2296920ba7f82d942",
  "front": {
    "aliases": [
      "maker-maker-game"
    ],
    "inventory": [
      "6EDJVPEG4S"
    ],
    "kind": "concept",
    "name": "Strong positional game",
    "same_as": {
      "wikidata": "Q60791293",
      "wikipedia": "Strong positional game"
    },
    "sources": [
      {
        "locator": "Strong positional game",
        "mention": "wikipedia://en/58908272",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:58908272@r1337527047"
      }
    ],
    "tag": "BYEAJHDYJK"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/BYEAJHDYJK/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/BYEAJHDYJK.md",
  "msc": null,
  "name": "Strong positional game",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/BYE/BYEAJHDYJK.md",
  "status": null,
  "tag": "BYEAJHDYJK",
  "uri": "m2://BYEAJHDYJK",
  "url": "https://math2.tamnd.com/wiki/strong-positional-game/",
  "writing": {
    "tag": "BYEAJHDYJK",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge defines in",
        "note": "at least one definition",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}