{
  "annotation_id": "7c47a486-2b66-495b-9e23-2d26f9458c59",
  "date_created": "2026-03-02T18:01:00.905000Z",
  "date_modified": "2026-03-02T18:01:00.905000Z",
  "file_hash": "d71719722546c248d641ad248b08d60fedb04fb8ff50bdad72f31a41046faed4",
  "private": false,
  "record": {
    "abstract": "We discuss the ideal gas like models of a trading market. The effect of\nsavings on the distribution have been thoroughly reviewed. The market with\nfixed saving factors leads to a Gamma-like distribution. In a market with\nquenched random saving factors for its agents we show that the steady state\nincome ($m$) distribution $P(m)$ in the model has a power law tail with Pareto\nindex $\\nu$ equal to unity. We also discuss the detailed numerical results on\nthis model. We analyze the distribution of mutual money difference and also\ndevelop a master equation for the time development of $P(m)$. Precise solutions\nare then obtained in some special cases.",
    "arxiv_id": "physics/0507136",
    "authors": [
      "Arnab Chatterjee",
      "Bikas K Chakrabarti"
    ],
    "categories": [
      "physics.soc-ph",
      "cond-mat.stat-mech",
      "q-fin.GN"
    ],
    "title": "Ideal-Gas Like Markets: Effect of Savings",
    "url": "https://arxiv.org/abs/physics/0507136"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "44df5829-6559-43c6-9b07-d66ad58abe9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}