Boundary effects in a three-state modified voter model for languages

Tarik Hadzibeganovic, D. Stauffer and C. Schulze

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 13, 3242-3252

Abstract: The standard three-state voter model is extended by including the outside pressure favouring one of the three language choices and by adding some biased internal 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 500×500. 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.

Keywords: Monte Carlo simulation; Opinion dynamics (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:13:p:3242-3252

DOI: 10.1016/j.physa.2008.02.003

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