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Journal of Statistical Physics

, Volume 156, Issue 2, pp 336–367 | Cite as

Stochastic Dynamics of the Multi-State Voter Model Over a Network Based on Interacting Cliques and Zealot Candidates

  • Filippo Palombi
  • Simona Toti
Article

Abstract

The stochastic dynamics of the multi-state voter model is investigated on a class of complex networks made of non-overlapping cliques, each hosting a political candidate and interacting with the others via Erdős–Rényi links. Numerical simulations of the model are interpreted in terms of an ad-hoc mean field theory, specifically tuned to resolve the inter/intra-clique interactions. Under a proper definition of the thermodynamic limit (with the average degree of the agents kept fixed while increasing the network size), the model is found to display the empirical scaling discovered by Fortunato and Castellano (Phys Rev Lett 99(13):138701, 2007) , while the vote distribution resembles roughly that observed in Brazilian elections.

Keywords

Social physics Proportional elections Voter model Mean field theory 

Notes

Acknowledgments

We thank R. Filippini for her participation in the early stage of this work. The computing resources used for our numerical study and the related technical support have been provided by the CRESCO/ENEAGRID High Performance Computing infrastructure and its staff [25]. CRESCO (Computational RESearch centre on COmplex systems) is funded by ENEA and by Italian and European research programmes.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.ENEA—Italian Agency for New Technologies, Energy and Sustainable Economic DevelopmentFrascatiItaly
  2. 2.ISTAT—Istituto Nazionale di StatisticaRomeItaly

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