{
  "annotation_id": "11866600-6401-465f-86f3-60053320b427",
  "date_created": "2026-03-02T18:01:10.259000Z",
  "date_modified": "2026-03-02T18:01:10.259000Z",
  "file_hash": "d8daaa31b24cc48b3884a066fd9a0b3c942dd2f2401316bcabefbe58cde51ef0",
  "private": false,
  "record": {
    "abstract": "We study the learning dynamics of agents who adapt to heterogeneous comfort\nlevels in the context of an El-Farol type game, and show that even an\ninfinitesimal degree of heterogeneity in the resource levels leads to a\nsignificant reduction of the fluctuations of the collective action, and removes\nthe phase transition observed in models with homogeneous comfort level. Our\nanalysis is based on dynamical methods of disordered systems theory, in\nparticular on a generating functional approach, and confirmed by numerical\nexperiments. We also report on simulations of a system in which the comfort\nlevels fluctuate in time, and point out crucial differences between models in\nwhich the comfort levels of the agents fluctuate collectively and individually\nrespectively. Finally we comment on a possible characterisation of El-Farol and\nMinority Games according to the presence or absence of ergodicity-breaking\nphase transitions at infinite integrated response.",
    "arxiv_id": "physics/0607174",
    "authors": [
      "Luca De Sanctis",
      "Tobias Galla"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1088/1742-5468/2006/12/P12004",
    "title": "Adapting to heterogeneous comfort levels",
    "url": "https://arxiv.org/abs/physics/0607174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "808c87e5-24d8-4984-8281-6be457e91bd9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}