{
  "annotation_id": "391475e0-deca-4337-81ab-5a636c296048",
  "date_created": "2026-03-02T18:01:04.281000Z",
  "date_modified": "2026-03-02T18:01:04.281000Z",
  "file_hash": "a011d861906cd103574eeef80147a0d9206773c78d0b86bbb2efe400e95a16b2",
  "private": false,
  "record": {
    "abstract": "What basic processes generate hierarchy in a collective? The Bonabeau model\nprovides us a simple mechanism based on randomness which develops\nself-organization through both winner/looser effects and relaxation process. A\nphase transition between egalitarian and hierarchic states has been found both\nanalytically and numerically in previous works. In this paper we present a\ndifferent approach: by means of a discrete scheme we develop a mean field\napproximation that not only reproduces the phase transition but also allows us\nto characterize the complexity of hierarchic phase. In the same philosophy, we\nstudy a new version of the Bonabeau model, developed by Stauffer et al. Several\nprevious works described numerically the presence of a similar phase transition\nin this later version. We find surprising results in this model that can be\ninterpreted properly as the non-existence of phase transition in this version\nof Bonabeau model, but a changing in fixed point structure.",
    "arxiv_id": "physics/0511105",
    "authors": [
      "Lucas Lacasa",
      "Bartolo Luque"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "doi": "10.1016/j.physa.2005.10.046",
    "title": "Bonabeau hierarchy models revisited",
    "url": "https://arxiv.org/abs/physics/0511105"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "77a63c5c-3bf1-464c-b48b-e1bf61a41af9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}