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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Taagepera, R., Grofman, B.: Mapping the indices of seats-votes disproportionality and inter-election volatility. Party Politics 9, 659–677 (2003)
Gwizdałła, T.M.: Gallagher index for sociophysical models. Physica A 387, 2937–2751 (2008)
Sznajd-Weron, K., Sznajd, J.: Who is left, who is right? Physica A 351, 593–604 (2005)
Stauffer, D., Sousa, A.O., de Oliveira, S.: Generalization to square lattice of Sznajd sociophysics. Int. J. Mod. Phys. C 11, 1239 (2000)
Sznajd-Weron, K., Sznajd, J.: Opinion evolution in closed community. Int. J. Mod. Phys. C 11, 1157 (2000)
Sousa, A., Sanchez, J.: Outward-inward information flux in an opinion formation model on different topologies. Physica A: Statistical Mechanics and its Applications 361, 319–328 (2006)
Galam, S.: Local dynamics vs. social mechanisms: A unifying frame. Europhys. Lett. 70, 705–711 (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gwizdałła, T.M. (2012). The Dynamics of Disproportionality Index for Cellular Automata Based Sociophysical Models. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-33350-7_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33349-1
Online ISBN: 978-3-642-33350-7
eBook Packages: Computer ScienceComputer Science (R0)