The dynamics of disproportionality index for cellular automata based sociophysical models

Abstract

The cellular automata approach to the analysis of the electorate voting is presented. We show the analysis of the proportionality of elections by using different update rules for the cellular automata representing the voters space. There exist many methods of performing system update which can be generally classified into two classes: outward, when the individual's opnion is spread over his neighbors and inward when the individual is under pressure of his environment. In the paper we show the relaxation, stability and the Gallagher index value for at the successive stages of CA simulation run. We find that the majority of methods leads to similar results however few of them is promising when trying to reproduce some social phenomena. © 2012 Springer-Verlag Berlin Heidelberg.