Analytical results for the Sznajd model of opinion formation

被引：0
|
作者：
F. Slanina
H. Lavicka
机构：
[1] Academy of Sciences of the Czech Republic,Institute of Physics
[2] Czech Technical University in Prague,Faculty of Nuclear Sciences and Physical Engineering
来源：
The European Physical Journal B - Condensed Matter and Complex Systems | 2003年 / 35卷
关键词：
Phase Transition; Probability Distribution; Stationary State; Original Formulation; Social Influence;
D O I：
暂无
中图分类号：
学科分类号：
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 Ochrombel 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：9
相关论文
共 50 条
  • [1] Analytical results for the Sznajd model of opinion formation
    Slanina, F
    Lavicka, H
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2003, 35 (02): : 279 - 288
  • [2] Difficulty for consensus in simultaneous opinion formation of Sznajd model
    Stauffer, D
    [J]. JOURNAL OF MATHEMATICAL SOCIOLOGY, 2004, 28 (01): : 25 - 33
  • [3] Opinion formation in Sznajd model with more complex social impact
    Liu, Zi-Ran
    Yan, Jia-Ren
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2007, 18 (05): : 767 - 772
  • [4] The influence of an individual opinion in the Sznajd Model
    Klietsch, N
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2005, 16 (04): : 577 - 584
  • [5] Generalized Sznajd model for opinion propagation
    Timpanaro, Andre M.
    Prado, Carmen P. C.
    [J]. PHYSICAL REVIEW E, 2009, 80 (02):
  • [6] Opinion evolution in the Sznajd model on interdependent chains
    Shang, Lihui
    Zhao, Mingming
    Ai, Jun
    Su, Zhan
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 565
  • [7] Kinetic modeling of a Sznajd opinion model on social networks
    Liao, Jie
    Yang, Xiongfeng
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2024,
  • [8] Persistence of opinion in the Sznajd consensus model: computer simulation
    Stauffer, D
    de Oliveira, PMC
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2002, 30 (04): : 587 - 592
  • [9] Effects of agents' mobility on opinion spreading in Sznajd model
    Sousa, A. O.
    Yu-Song, T.
    Ausloos, M.
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2008, 66 (01): : 115 - 124
  • [10] Persistence of opinion in the Sznajd consensus model: computer simulation
    D. Stauffer
    P.M.C. de Oliveira
    [J]. The European Physical Journal B - Condensed Matter and Complex Systems, 2002, 30 : 587 - 592
12345