{
  "annotation_id": "51f25f62-a280-40f7-8d9e-50f09d1c4f79",
  "date_created": "2026-03-02T18:01:04.223000Z",
  "date_modified": "2026-03-02T18:01:04.223000Z",
  "file_hash": "ea7b0d1184a21c20f0617cb5745f459c5ffb912236f7f24248aa11e6ac8923d9",
  "private": false,
  "record": {
    "abstract": "We model the dynamics of social structure by a simple interacting particle\nsystem. The social standing of an individual agent is represented by an\ninteger-valued fitness that changes via two offsetting processes. When two\nagents interact one advances: the fitter with probability p and the less fit\nwith probability 1-p. The fitness of an agent may also decline with rate r.\n  From a scaling analysis of the underlying master equations for the fitness\ndistribution of the population, we find four distinct social structures as a\nfunction of the governing parameters p and r. These include: (i) a static\nlower-class society where all agents have finite fitness; (ii) an\nupwardly-mobile middle-class society; (iii) a hierarchical society where a\nfinite fraction of the population belongs to a middle class and a complementary\nfraction to the lower class; (iv) an egalitarian society where all agents are\nupwardly mobile and have nearly the same fitness. We determine the basic\nfeatures of the fitness distributions in these four phases.",
    "arxiv_id": "physics/0512144",
    "authors": [
      "E. Ben-Naim",
      "F. Vazquez",
      "S. Redner"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1140/epjb/e2006-00095-y",
    "journal_ref": "Eur. Phys. Jour. B 49, 531 (2006)",
    "title": "On The Structure of Competitive Societies",
    "url": "https://arxiv.org/abs/physics/0512144"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "babc3707-b725-4169-95d4-c6e2e29eeba9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}