{
  "id": "1401.4383",
  "version": "v1",
  "published": "2014-01-17T15:26:56.000Z",
  "updated": "2014-01-17T15:26:56.000Z",
  "title": "On the Hegselmann-Krause conjecture in opinion dynamics",
  "authors": [
    "Sascha Kurz",
    "Jörg Rambau"
  ],
  "comment": "22 pages, 8 figures",
  "journal": "Journal of Difference Equations and Applications, Vol. 17, Nr. 6 (2011), Pages 859-876",
  "categories": [
    "math.DS",
    "cs.SI"
  ],
  "abstract": "We give an elementary proof of a conjecture by Hegselmann and Krause in opinion dynamics, concerning a symmetric bounded confidence interval model: If there is a truth and all individuals take each other seriously by a positive amount bounded away from zero, then all truth seekers will converge to the truth. Here truth seekers are the individuals which are attracted by the truth by a positive amount. In the absence of truth seekers it was already shown by Hegselmann and Krause that the opinions of the individuals converge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-17T15:26:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A11",
      "91D10",
      "37N99"
    ],
    "keywords": [
      "opinion dynamics",
      "hegselmann-krause conjecture",
      "truth seekers",
      "symmetric bounded confidence interval model",
      "individuals converge"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.4383K"
    }
  }
}