Opinion evolution on a BA scaling network

Yue-ying Zhu, Wei Li and Xu Cai

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 24, 6596-6602

Abstract: In this paper, the dynamics of opinion formation is investigated based on a BA (Barabási–Albert) scale-free network, using a majority–minority rule governed by parameter q. As the value of q is smoothly varied, a phase transition occurs between an ordered phase and a disordered one. By performing extensive Monte Carlo simulations, we show that the phase transition is dependent on the system size, as well as on m, the number of edges added at each time step during the growth of the BA scaling network. Additionally, some theoretical analysis is given based on mean-field theory, by neglecting fluctuations and correlations. It is observed that the theoretical results coincide with results from simulations, especially for very large m.

Keywords: Opinion evolution; Mean-field theory; Average magnetization; Standard deviation; Critical point; Phase transition (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:24:p:6596-6602

DOI: 10.1016/j.physa.2013.08.047

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