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arXiv 1308.2015physics.soc-phcs.SI
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共同进化网络中社会环境和社会聚集在意见传播中的作用

Role of social environment and social clustering in spread of opinions in co-evolving networks

Nishant Malik, Peter J. Mucha

摘要:

采取务实的方法,在集体意见形成的现象所涉及的过程中,我们调查了两个具体的修改意见形成的共同进化的网络选民模型,研究由Holme和Newman [1]。首先,我们用个体之间接受或拒绝意见的概率分布来代替重新布线概率参数,以解释社会群体中个体之间关系的不对称影响。其次,我们修改了重新布线步骤的路径长度为基础的偏好重新布线,加强本地集群。我们已经研究了这些修改对该模型的模拟结果的影响。我们发现,改变接受或拒绝意见的概率分布的形状可以导致两个性质不同的最终状态的出现,一个具有几个孤立的连接组件,每个组件都在内部共识中,导致存在不同的意见集,另一个具有一个单一的主导连接组件,其中每个节点都具有相同的意见。此外,更重要的是,我们发现网络中的初始聚类也可以引起类似的过渡。我们的研究还提出,这些转变是由一个弱的和复杂的依赖系统的大小。我们发现,在模型的最终状态的网络具有丰富的结构属性,包括小世界性质的一些参数制度。[1]Holme和M. Newman,Phys.Rev.E74,056108(2006).

英文摘要:

Taking a pragmatic approach to the processes involved in the phenomena of collective opinion formation, we investigate two specific modifications to the co-evolving network voter model of opinion formation, studied by Holme and Newman [1]. First, we replace the rewiring probability parameter by a distribution of probability of accepting or rejecting opinions between individuals, accounting for the asymmetric influences in relationships among individuals in a social group. Second, we modify the rewiring step by a path-length-based preference for rewiring that reinforces local clustering. We have investigated the influences of these modifications on the outcomes of the simulations of this model. We found that varying the shape of the distribution of probability of accepting or rejecting opinions can lead to the emergence of two qualitatively distinct final states, one having several isolated connected components each in internal consensus leading to the existence of diverse set of opinions and the other having one single dominant connected component with each node within it having the same opinion. Furthermore, and more importantly, we found that the initial clustering in network can also induce similar transitions. Our investigation also brings forward that these transitions are governed by a weak and complex dependence on system size. We found that the networks in the final states of the model have rich structural properties including the small world property for some parameter regimes. [1] P. Holme and M. Newman, Phys. Rev. E 74, 056108 (2006).

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