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

Hadzibeganovic, Tarik and Stauffer, Dietrich and Schulze, Christian (2007) Boundary effects in a three-state modified voter model for languages. [Preprint]

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Abstract

The standard three-state voter model is enlarged by including the outside pressure favouring one of the three language 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.

Item Type:Preprint
Keywords:Monte Carlo simulation, opinion dynamics, language choice
Subjects:Computer Science > Language
Computer Science > Statistical Models
Linguistics > Computational Linguistics
Psychology > Social Psychology > Social simulation
Psychology > Cognitive Psychology
ID Code:5911
Deposited By:Hadzibeganovic, Tarik
Deposited On:27 Jan 2008 03:55
Last Modified:27 Jan 2008 03:55

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