Clusters and the entropy in opinion dynamics on complex networks

Wenchen Han, Yuee Feng, Xiaolan Qian, Qihui Yang and Changwei Huang

Physica A: Statistical Mechanics and its Applications, 2020, vol. 559, issue C

Abstract: In this work, we investigate a heterogeneous population in the modified Hegselmann–Krause opinion model on complex networks. We introduce the Shannon information entropy about all relative opinion clusters to characterize the cluster profile in the final configuration. Independent of network structures, there exists the optimal stubbornness of one subpopulation for the largest number of clusters and the highest entropy. Besides, there is the optimal bounded confidence (or subpopulation ratio) of one subpopulation for the smallest number of clusters and the lowest entropy. However, network structures affect cluster profiles indeed. A large average degree favors consensus for making different networks more similar with complete graphs. The network size has limited impact on cluster profiles of heterogeneous populations on scale-free networks but has significant effects upon those on small-world networks.

Keywords: Heterogeneous populations; Opinion cluster profile; Shannon information entropy; Complex networks (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:559:y:2020:i:c:s0378437120305380

DOI: 10.1016/j.physa.2020.125033

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