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Título

Van Kampen's expansion approach in an opinion formation model

AutorSánchez de la Lama, Marta; Szendro, Ivan Georg; Iglesias, J. R.; Wio, Horacio S.
Palabras clavePhysics and Society
Fecha de publicación7-mar-2006
EditorSpringer
CitaciónarXiv:physics/0603047v1
http://dx.doi.org/10.1140/epjb/e2006-00232-8
European Physical Journal B 51 (3): 435-442 (2006)
ResumenWe 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.
Descripción17 pages, 6 figures.-- Submitted to Europ. Phys. J. B.
URIhttp://hdl.handle.net/10261/3961
DOI10.1140/epjb/e2006-00232-8
ISSN1434-6036 (Online)
1434-6028 (Print)
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