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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/25770
Title: Diffusing opinions in bounded confidence processes
Authors: Pineda, Miguel ; Toral, Raúl ; Hernández-García, Emilio
Keywords: Random processes
Brownian motion
Issue Date: Mar-2011
Publisher: Springer
Citation: European Physical Journal D 62(1): 109-117 (2011)
Abstract: We study the effects of diffusing opinions on the Deffuant et al. model for continuous opinion dynamics. Individuals are given the opportunity to change their opinion, with a given probability, to a randomly selected opinion inside an interval centered around the present opinion. We show that diffusion induces an order-disorder transition. In the disordered state the opinion distribution tends to be uniform, while for the ordered state a set of well defined opinion clusters are formed, although with some opinion spread inside them. If the diffusion jumps are not large, clusters coalesce, so that weak diffusion favors opinion consensus. A master equation for the process described above is presented. We find that the master equation and the Monte-Carlo simulations do not always agree due to finite-size induced fluctuations. Using a linear stability analysis we can derive approximate conditions for the transition between opinion clusters and the disordered state. The linear stability analysis is compared with Monte Carlo simulations. Novel interesting phenomena are analyzed.
Description: 15 pages, 7 figures.
Publisher version (URL): http://arxiv.org/abs/1004.1102
URI: http://hdl.handle.net/10261/25770
DOI: 10.1140/epjd/e2010-00227-0
ISSN: 1434-6060
E-ISSN: 1434-6079
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