{
  "annotation_id": "2085d25d-c9a3-41c8-b27b-04f2a2a952ba",
  "date_created": "2026-03-02T18:01:52.291000Z",
  "date_modified": "2026-03-02T18:01:52.291000Z",
  "file_hash": "f61be4b6179136af0babfba7fe4a73fdad4f993d8f97f120227d952ad45a1938",
  "private": false,
  "record": {
    "abstract": "The game in which acts of participants don\u0027t have an adequate description in\nterms of Boolean logic and classical theory of probabilities is considered. The\nmodel of the game interaction is constructed on the basis of a non-distributive\northocomplemented lattice. Mixed strategies of the participants are calculated\nby the use of probability amplitudes according to the rules of quantum\nmechanics. A scheme of quantization of the payoff function is proposed and an\nalgorithm for the search of Nash equilibrium is given. It is shown that\ndifferently from the classical case in the quantum situation a discrete set of\nequilibrium is possible.",
    "arxiv_id": "quant-ph/0206178",
    "authors": [
      "Andrey Grib",
      "Georges Parfionov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Can the game be quantum?",
    "url": "https://arxiv.org/abs/quant-ph/0206178"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d09d040-b910-458c-b3f1-b54e96b87d4e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}