{
  "annotation_id": "36d3ebfd-c2ea-425a-a7ea-77569e705c23",
  "date_created": "2026-03-02T18:01:56.569000Z",
  "date_modified": "2026-03-02T18:01:56.569000Z",
  "file_hash": "d55257bf8bc8d040f0a733f863c85d1178922490c9af7149655c6d66eb9363f2",
  "private": false,
  "record": {
    "abstract": "We study a quantum game played by two players with restricted multiple\nstrategies. It is found that in this restricted quantum game Nash equilibrium\ndoes not always exist when the initial state is entangled. At the same time, we\nfind that when Nash equilibrium exists the pay off function is usually\ndifferent from that in the classical counterpart except in some special cases.\nThis presents an explicit example where quantum game and classical game may\ndiffer. When designing a quantum game with limited strategies, the allowed\nstrategy should be carefully chosen according to the type of initial state.",
    "arxiv_id": "quant-ph/0301062",
    "authors": [
      "Bo Chen",
      "Ying-Jun Ma",
      "Gui Lu Long"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0253-6102/40/6/655",
    "journal_ref": "Commun, Theor. Phys. 40 (2003) 655-658",
    "title": "Quantum Game with Restricted Matrix Strategies",
    "url": "https://arxiv.org/abs/quant-ph/0301062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b77dfd1-6bf9-4e8a-82b4-b31b3b6b36c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}