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Van Kampen's expansion approach in an opinion formation model

AuthorsSánchez de la Lama, Marta; Szendro, Ivan Georg; Iglesias, J. R.; Wio, Horacio S.
KeywordsPhysics and Society
Issue Date7-Mar-2006
European Physical Journal B 51 (3): 435-442 (2006)
AbstractWe analyze a simple opinion formation model consisting of two parties, A and B, and a group I, of undecided agents. We assume that the supporters of parties A and B do not interact among them, but only interact through the group I, and that there is a nonzero probability of a spontaneous change of opinion (A->I, B->I). From the master equation, and via van Kampen's Omega-expansion approach, we have obtained the "macroscopic" evolution equation, as well as the Fokker-Planck equation governing the fluctuations around the deterministic behavior. Within the same approach, we have also obtained information about the typical relaxation behavior of small perturbations.
Description17 pages, 6 figures.-- Submitted to Europ. Phys. J. B.
Appears in Collections:(IFCA) Artículos
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