Analytical results for the Sznajd model of opinion formation

By Frantisek Slanina, Hynek Lavicka. 2003

194 citations recorded by the source corpus.

Abstract.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.

Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/98d13142db4152bbfe5c7e15a0dee7de4db952e8

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In Condensed Matter Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Statistical physics of social dynamics (2007, background): “In (Slanina and Lavička, 2003) an exact solution for a Sznajd-like dynamics on a complete graph has been given.”
The structure and dynamics of multilayer networks (2014, methodology): “If employing one complete graph, the mean consensus time ⟨T ⟩ can be easily obtained by using the Fokker–Planck equation [304].”
Network resilience (2020, methodology): “It opened also network analysis to statistical physics, including novel applications of classic Ising model [483, 484, 485] and new network models [2].”
Modeling Radicalization Phenomena in Heterogeneous Populations (2015, background): “Some hints are outlined to favor novel public policies towards social integration.”
Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders (2009, methodology): “Similar diffusion equations were also obtained recently in Slanina & Lavička (2003) as a mean field limit of the Sznajd model (Sznajd-Weron & Sznajd 2000).”