Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-04-11
Eur. Phys. J. B. 45, 569-575 (2005)
Physics
Condensed Matter
Statistical Mechanics
To appear in European Physical Journal B. A few errors corrected, some figures redrawn from the first version
Scientific paper
10.1140/epjb/e2005-00215-3
We generalize Galam's model of opinion spreading by introducing three competing choices. At each update, the population is randomly divided in groups of three agents, whose members adopt the opinion of the local majority. In the case of a tie, the local group adopts opinion A, B or C with probabilities alpha, beta and (1-alpha-beta) respectively. We derive the associated phase diagrams and dynamics by both analytical means and simulations. Polarization is always reached within very short time scales. We point out situations in which an initially very small minority opinion can invade the whole system.
Galam Serge
Gekle Stephan
Peliti Luca
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