{
  "annotation_id": "b1812282-0b91-4c1b-a077-dd7b69982485",
  "date_created": "2026-03-02T18:00:56.382000Z",
  "date_modified": "2026-03-02T18:00:56.382000Z",
  "file_hash": "9fdc8572735a9da5d5f42bdad0174619bfb63d91969996fbfdbd01cf84cd5206",
  "private": false,
  "record": {
    "abstract": "We analyze an ideal gas like models of a trading market. We propose a new fit\nfor the money distribution in the fixed or uniform saving market. For the\nmarketwith quenched random saving factors for its agents we show that the\nsteady state income ($m$) distribution $P(m)$ in the model has a power law tail\nwith Pareto index $\\nu$ exactly equal to unity, confirming the earlier\nnumerical studies on this model. We analyze the distribution of mutual money\ndifference and also develop a master equation for the time development of\n$P(m)$. Precise solutions are then obtained in some special cases.",
    "arxiv_id": "physics/0505047",
    "authors": [
      "Arnab Chatterjee",
      "Bikas K. Chakrabarti",
      "Robin B. Stinchcombe"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.stat-mech",
      "q-fin.ST"
    ],
    "title": "Analyzing money distributions in `ideal gas\u0027 models of markets",
    "url": "https://arxiv.org/abs/physics/0505047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ce397cd7-ab90-4359-878e-ee3c2783284f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}