Analytical results for the Sznajd model of opinion formation

被引:178
作者
Slanina, F
Lavicka, H
机构
[1] Acad Sci Czech Republic, Inst Phys, Prague 18221, Czech Republic
[2] Czech Tech Univ, Fac Nucl Sci & Phys Engn, CR-11519 Prague 1, Czech Republic
关键词
D O I
10.1140/epjb/e2003-00278-0
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The Sznajd model, which describes opinion formation and social influence, is treated analytically on a complete graph. We prove the existence of the phase transition in the original formulation of the model, while for the Ochronibel modification we find smooth behaviour without transition. We calculate the average time to reach the stationary state as well as the exponential tail of its probability distribution. An analytical argument for the observed 1/n dependence in the distribution of votes in Brazilian elections is provided.
引用
收藏
页码:279 / 288
页数:10
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