This paper provides a model to investigate information spread over cyber-social network of agents. The cyber-social network considered here comprises individuals and information sources. Each individual holds an opinion represented by a scalar that evolves over time. The information sources are stubborn, in the sense that their opinions are time-invariant. Individuals receive the opinions of information sources that are closer to their belief, confirmation bias is explicitly incorporated into the model. The proposed dynamics of cyber-social networks is adopted from DeGroot-Friedkin model, where an individual's opinion update mechanism is a convex combination of her innate opinion, her neighbors’ opinions at the previous time step (obtained from the social network), and the opinions passed along by information sources from cyber layer which she follows. The characteristics of the interdependent social and cyber networks are significantly different here: the social network relies on trust and hence static, while influences from information sources to individuals are highly dynamic since they are weighted as a function of the distance between an individual state and the state of information source to account for confirmation bias. The conditions for convergence of the aforementioned dynamics to a unique equilibrium point are characterized. The estimation and exact computation of the steady-state values under non-linear and linear state-dependent weight functions are provided. Finally, the impact of polarization in the opinions of information sources on the public opinion evolution is numerically analyzed in the context of the well-known Krackhardt's advice network.

中文翻译：

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网络社交网络中具有确认偏差的信息传播

本文提供了一个模型来调查通过代理的网络社交网络传播的信息。这里考虑的网络社交网络包括个人和信息源。每个人都持有由随时间演变的标量表示的意见。信息来源是顽固的，因为他们的意见是不随时间变化的。个人收到的信息来源的意见更接近他们的信念，确认偏差被明确纳入模型。网络社交网络的拟议动态是从 DeGroot-Friedkin 模型中采用的，其中个人的意见更新机制是她的先天意见，她的邻居在前一个时间步的意见（从社交网络获得）的凸组合，以及她所关注的网络层信息源传递的意见。相互依存的社交网络和网络网络的特征在这里有显着不同：社交网络依赖于信任，因此是静态的，而从信息源到个人的影响是高度动态的，因为它们是作为个人状态和网络之间距离的函数加权的信息来源的状态以解释确认偏差。描述了上述动力学收敛到唯一平衡点的条件。提供了非线性和线性状态相关权重函数下稳态值的估计和精确计算。最后，