{
  "annotation_id": "26de0983-43b1-4719-be35-a4ae5a1a83a0",
  "date_created": "2026-03-02T18:02:34.650000Z",
  "date_modified": "2026-03-02T18:02:34.650000Z",
  "file_hash": "5296b9eda679d8d7c9bb272c01d5b741823a9a2436711b494cd91b6d24778c82",
  "private": false,
  "record": {
    "abstract": "We present a novel formulation of quantum game theory based on the Schmidt\ndecomposition, which has the merit that the entanglement of quantum strategies\nis manifestly quantified. We apply this formulation to 2-player, 2-strategy\nsymmetric games and obtain a complete set of quantum Nash equilibria. Apart\nfrom those available with the maximal entanglement, these quantum Nash\nequilibria are extensions of the Nash equilibria in classical game theory. The\nphase structure of the equilibria is determined for all values of entanglement,\nand thereby the possibility of resolving the dilemmas by entanglement in the\ngame of Chicken, the Battle of the Sexes, the Prisoners\u0027 Dilemma, and the Stag\nHunt, is examined. We find that entanglement transforms these dilemmas with\neach other but cannot resolve them, except in the Stag Hunt game where the\ndilemma can be alleviated to a certain degree.",
    "arxiv_id": "quant-ph/0702167",
    "authors": [
      "Tsubasa Ichikawa",
      "Izumi Tsutsui",
      "Taksu Cheon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/41/13/135303",
    "journal_ref": "Journal of Physics A: Mathematical and Theoretical 41 (2008)\n  135303 (29p)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Quantum Game Theory Based on the Schmidt Decomposition",
    "url": "https://arxiv.org/abs/quant-ph/0702167"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "72ceb340-a1cf-4a30-baf0-a843be1a3864",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}