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Neighborhood models of minority opinion spreading

AuthorsTessone, Claudio J.; Toral, Raúl ; Amengual, Pau; Wio, Horacio S. ; San Miguel, Maxi
Keywords[PACS] Dynamics of social systems
[PACS] Lattice theory and statistics
Issue Date23-Jul-2004
PublisherEDP Sciences
Società Italiana di Fisica
CitationEuropean Physical Journal B 39: 535-544 (2004)
AbstractWe study the effect of finite size population in Galam's model [Eur. Phys. J. B 25 (2002) 403] of minority opinion spreading and introduce neighborhood models that account for local spatial effects. For systems of different sizes N, the time to reach consensus is shown to scale as ln N in the original version, while the evolution is much slower in the new neighborhood models. The threshold value of the initial concentration of minority supporters for the defeat of the initial majority, which is independent of N in Galam's model, goes to zero with growing system size in the neighborhood models. This is a consequence of the existence of a critical size for the growth of a local domain of minority supporters.
Description10 pages, 15 figures.-- PACS nrs.: 87.23.Ge, 05.50.+q.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0403339.-- PPT presentation included as supplementary material.
Publisher version (URL)http://dx.doi.org/10.1140/epjb/e2004-00227-5
Appears in Collections:(IFISC) Artículos
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