Abstract.
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 α, β and (1-α-β) 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.
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S. Galam, Y. Gefen, Y. Shapir, Math. J. Sociology 9, 1 (1982)
S. Galam, Physica A 336, 49 (2004)
M.C. Gonzalez, A.O. Sousa, H.J. Herrmann, to appear in Int. J. Mod. Phys. C 15 (2004)
F. Wu, B.A. Huberman, arXiv: cond-mat/0407252
C.J. Tessone, R. Toral, P. Amengual, H.S. Wio, M. San Miguel, Eur. Phys. J. B 39, 535 (2004)
F. Slanina, H. Lavicka, Eur. Phys. J. B 35, 279 (2003)
D. Stauffer, Journal of Artificial Societies and Social Simulations 5, No. 1 paper 4, and AIP Conference Proceedings 690, 147 (2003)
F. Schweitzer, J. Zimmermann, H. Mühlenbein, Physica A 303, 189 (2002)
G. Deffuant, D. Neau, F. Amblard, G. Weisbuch, Adv. Complex Systems 3, 87 (2001)
K. Sznajd-Weron, J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000)
S. Solomon, G. Weisbuch, L. de Arcangelis, N. Jan, D. Stauffer, Physica A 277, 239 (2000)
S. Galam, J. Math. Psychology 30, 426 (1986); S. Galam, J. Stat. Phys. 61, 943 (1990)
S. Galam, Eur. J. Phys. B 25, 403 (2002)
S. Galam, Int. J. General Systems 18, 191 (1991)
S. Galam, Physica A 285, 66 (2000)
D. Aerts, S. Aerts, Foundations of Science 1, 85 (1995), reprinted in Topics in the Foundation of Statistics, edited by B. Van Fraassen (Kluwer, Dordrecht, 1997)
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Gekle, S., Peliti, L. & Galam, S. Opinion dynamics in a three-choice system. Eur. Phys. J. B 45, 569–575 (2005). https://doi.org/10.1140/epjb/e2005-00215-3
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DOI: https://doi.org/10.1140/epjb/e2005-00215-3