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Social dynamics with peer support on heterogeneous networks: The 'mafia model'

机译:异构网络上的同伴支持的社会动态:“黑手党模式”

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摘要

Human behavior often exhibit a scheme in which individuals adopt indifferent, neutral, or radical positions on a given topic. The mechanisms leading to community formation are strongly related with social pressure and the topology of the contact network. Here, we discuss an approach to model social behavior which accounts for the protection by alike peers proportional to their relative abundance in the closest neighborhood. We explore the ensuing non-linear dynamics emphasizing the role of the specific structure of the social network, modeled by scale-free graphs. We find that both coexistence of opinions and consensus on the default position are possible stationary states of the model. In particular, we show how these states critically depend on the heterogeneity of the social network and the specific distribution of external control elements.
机译:人类行为通常表现出一种方案,其中个人对给定主题采取冷漠,中立或激进的立场。导致社区形成的机制与社会压力和联系网络的拓扑密切相关。在这里,我们讨论一种对社会行为进行建模的方法,该方法通过与他们在最近邻域中的相对丰度成正比的同龄人来提供保护。我们探索随后的非线性动力学,强调由无标度图建模的社交网络特定结构的作用。我们发现,意见的共存和对默认位置的共识都是模型的可能稳态。特别是,我们显示了这些状态如何严重依赖于社交网络的异质性和外部控制元素的特定分布。

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