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Generalized Dynamics in Social Networks With Antagonistic Interactions. (arXiv:1801.08713v1 [math.OC])
来源于:arXiv
In this paper, we investigate a general nonlinear model of opinion dynamics
in which both state-dependent susceptibility to persuasion and antagonistic
interactions are considered. According to the existing literature and
socio-psychological theories, we examine three specializations of
state-dependent susceptibility, that is, stubborn positives scenario, stubborn
neutrals scenario, and stubborn extremists scenario. Interactions among agents
form a signed graph, in which positive and negative edges represent friendly
and antagonistic interactions, respectively. Based on Perron-Frobenius property
of eventually positive matrices and LaSalle invariance principle, we conduct a
comprehensive theoretical analysis of the generalized nonlinear opinion
dynamics. We obtain some sufficient conditions such that the states of all
agents converge into the subspace spanned by the right positive eigenvector of
an eventually positive matrix. When there exists at least one entry of the
right positive ei 查看全文>>