In:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, The Royal Society, Vol. 465, No. 2112 ( 2009-12-08), p. 3687-3708
Abstract:
We propose a mathematical model for opinion formation in a society that is built of two groups, one group of ‘ordinary’ people and one group of ‘strong opinion leaders’. Our approach is based on an opinion formation model introduced in Toscani (Toscani 2006 Commun. Math. Sci. 4 , 481–496) and borrows ideas from the kinetic theory of mixtures of rarefied gases. Starting from microscopic interactions among individuals, we arrive at a macroscopic description of the opinion formation process that is characterized by a system of Fokker–Planck-type equations. We discuss the steady states of this system, extend it to incorporate emergence and decline of opinion leaders and present numerical results.
Type of Medium:
Online Resource
ISSN:
1364-5021
,
1471-2946
DOI:
10.1098/rspa.2009.0239
Language:
English
Publisher:
The Royal Society
Publication Date:
2009
detail.hit.zdb_id:
209241-4
detail.hit.zdb_id:
1460987-3
SSG:
11
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