{
  "annotation_id": "36348ab9-410f-4a2c-af33-a196ba9afd26",
  "date_created": "2026-03-02T18:00:56.990000Z",
  "date_modified": "2026-03-02T18:00:56.990000Z",
  "file_hash": "607146b6f8bc5c1fa03fa68830eeb33536f9e7eecd01c28e0d99ecabdea25372",
  "private": false,
  "record": {
    "abstract": "We study the continuum opinion dynamics of the compromise model of Krause and\nHegselmann for a community of mutually interacting agents, by solving\nnumerically a rate equation. The opinions are here represented by bidimensional\nvectors with real-valued components. We study the situation starting from a\nuniform probability distribution for the opinion configuration and for\ndifferent shapes of the confidence range. In all cases, we find that the\nthresholds for consensus and cluster merging either coincide with their\none-dimensional counterparts, or are very close to them. The symmetry of the\nfinal opinion configuration, when more clusters survive, is determined by the\nshape of the opinion space. If the latter is a square, which is the case we\nconsider, the clusters in general occupy the sites of a square lattice,\nalthough we sometimes observe interesting deviations from this general pattern,\nespecially near the center of the opinion space.",
    "arxiv_id": "physics/0504017",
    "authors": [
      "Santo Fortunato",
      "Vito Latora",
      "Alessandro Pluchino",
      "Andrea Rapisarda"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "doi": "10.1142/S0129183105008126",
    "journal_ref": "Int. Jour. Mod. Phys. C 16 (2005) 1535",
    "title": "Vector Opinion Dynamics in a Bounded Confidence Consensus Model",
    "url": "https://arxiv.org/abs/physics/0504017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e9431c1-0795-4ec1-aca1-cd6da80eb23c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}