{
  "aliases": null,
  "backlinks": null,
  "body": "\n## Summary\n\nIn order theory, the **strong set order** $\\leq_s$ is a partial order over the subsets of a lattice. It is widely used to study monotone comparative statics of parametrized optimization problems in economic theory and operations research.\n",
  "commit": "1696dfa6ac9eeb239262bb8121a4817855ba7e8d",
  "front": {
    "inventory": [
      "1VASWFWF22"
    ],
    "kind": "concept",
    "name": "Strong set order",
    "same_as": {
      "wikidata": "Q141352977",
      "wikipedia": "Strong set order"
    },
    "sources": [
      {
        "locator": "Strong set order",
        "mention": "wikipedia://en/84025418",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:84025418@r1374822552"
      }
    ],
    "tag": "JYXZA0X571"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/JYXZA0X571/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/JYXZA0X571.md",
  "msc": null,
  "name": "Strong set order",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/JYX/JYXZA0X571.md",
  "status": null,
  "tag": "JYXZA0X571",
  "uri": "m2://JYXZA0X571",
  "url": "https://math2.tamnd.com/wiki/strong-set-order/",
  "writing": {
    "tag": "JYXZA0X571",
    "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
      }
    ]
  }
}
