Neighborhood models of minority opinion spreading

Details Neighborhood models of minority opinion spreading Neighborhood models of minority opinion spreading

2004-03-13

arxiv.org/abs/cond-mat/0403339v2

European Physical Journal B, Volume 39, Pages 535-544 (2004)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1140/epjb/e2004-00227-5

We 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.

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