2007/11/17 by Tarik Hadzibeganovic, T. Hadzibeganovic, D. Stauffer +2 · 4 citations
Mathematics · Physics and Astronomy · Social Sciences · #Algorithm #Artificial intelligence #Boundary (topology) #Complex Network Analysis Techniques #Computer science #Contrast (vision) #Electoral Systems and Political Participation #Lattice (music) #Law #Mathematical analysis #Mathematical economics #Mathematics #Monte Carlo method #Opinion Dynamics and Social Influence #Physics #Political science #Population #Sociology #State (computer science) #Statistical physics #Statistics #Victory #Voter model #physics.soc-ph
paper · pdf · doi:10.1016/j.physa.2008.02.003
17 pages including numerous figures
arxiv created 2007/11/17 · openalex publication_date 2008/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The standard three-state voter model is enlarged by including the outside pressure favouring one of the three choices and by adding some biased internal random noise. The Monte Carlo simulations are motivated by states with the population divided into three groups of various affinities to each other. We show the crucial influence of the boundaries for moderate lattice sizes like 500 x 500. By removing the fixed boundary at one side, we demonstrate that this can lead to the victory of one single choice. Noise in contrast stabilizes the choices of all three populations. In addition, we compute the persistence probability, i.e., the number of sites who have never changed their opinion during the simulation, and we consider the case of "rigid-minded" decision makers.