{
  "annotation_id": "692a885a-64f8-455c-aca1-95ac87ca70e8",
  "date_created": "2026-03-02T18:02:19.745000Z",
  "date_modified": "2026-03-02T18:02:19.745000Z",
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  "private": false,
  "record": {
    "abstract": "We propose quantization relationships which would let us describe and\nsolution problems originated by conflicting or cooperative behaviors among the\nmembers of a system from the point of view of quantum mechanical interactions.\nThe quantum analogue of the replicator dynamics is the equation of evolution of\nmixed states from quantum statistical mechanics. A system and all its members\nwill cooperate and rearrange its states to improve their present condition.\nThey strive to reach the best possible state for each of them which is also the\nbest possible state for the whole system. This led us to propose a quantum\nequilibrium in which a system is stable only if it maximizes the welfare of the\ncollective above the welfare of the individual. If it is maximized the welfare\nof the individual above the welfare of the collective the system gets unstable\nand eventually it collapses.",
    "arxiv_id": "quant-ph/0510238",
    "authors": [
      "Esteban Guevara Hidalgo"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physa.2006.02.017",
    "journal_ref": "Physica A 369/2, 393-407 (2006)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Quantum Replicator Dynamics",
    "url": "https://arxiv.org/abs/quant-ph/0510238"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7fc60e00-41fa-4d9f-8395-bec19f6f6a80",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}