Open AccessTrust, evolution, and consensus of opinions in a social group
Author(s) -
Jiongming Su,
Baohong Liu,
Qi Li,
Hongxu Ma
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.050501
Subject(s) - similarity (geometry) , bounded function , phenomenon , cluster (spacecraft) , psychology , social psychology , degree (music) , public opinion , range (aeronautics) , computer science , mathematics , epistemology , political science , physics , artificial intelligence , mathematical analysis , philosophy , acoustics , image (mathematics) , programming language , materials science , composite material , politics , law
Most dynamical models with continuous opinion lack the considerations of trust between individuals and different weights of opinions. This article extends the Hegselmann-Krause model by introducing the trust between individuals and the similarity between opinions, and extending the hypothesis of bounded confidence to bounded influence. Finally, the model of opinion updating with weights is proposed. We have studied the formation, evolution of opinions in a social group and consensus-building process under the influence of a few of narrow-minded and authoritative individuals. Simulation results show that decreases of the difference between the initial opinions of two types of individuals and the midpoint of distribution range (0.5), or increases of the influence thresholds of narrow-minded individuals and the trust degree of authoritative individuals would form larger and fewer opinion clusters. As the influence thresholds of narrow-minded individuals increases, the opinion of maximum cluster concentrates at near 0.5, but the trust degree of authoritative individuals will increases to make the opinion of maximum cluster constantly approach the final opinion of authoritative individuals. These results can reflect and explain the realistic social phenomenon with narrow-minded individuals and authoritative individuals to a certain extent.