{
  "id": "cond-mat/9805084",
  "version": "v2",
  "published": "1998-05-07T11:09:41.000Z",
  "updated": "1998-05-08T09:20:29.000Z",
  "title": "On the Minority Game : Analytical and Numerical Studies",
  "authors": [
    "Damien Challet",
    "Yi-Cheng Zhang"
  ],
  "comment": "9 pages, 19 figures, accepted for publication in Physica A. Latex compilation on VMS systems should now work",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate further several properties of the minority game we have recently introduced. We explain the origin of the phase transition and give an analytical expression of $\\sigma^2/N$ in the $N\\ll2^M$ region. The ability of the players to learn a given payoff is also analyzed, and we show that the Darwinian evolution process tends to a self-organized state, in particular, the life-time distribution is a power-law with exponent -2. Furthermore, we study the influence of identical players on their gain and on the system's performance. Finally, we show that large brains always take advantage of small brains.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-05-08T09:20:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minority game",
      "numerical studies",
      "darwinian evolution process tends",
      "analytical",
      "phase transition"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}