Why group opinions tend to be converged through continued communication, discussion and interactions? Under the framework of the social influence network model, we rigorously prove that the group consensus is almost surely within finite steps. This is a quite certain result, and reflects the real-world common phenomenon. In addition, we give a convergence time lower bound. Although our explanations are purely based on mathematic deduction, it shows that the latent social influence structure is the key factor for the persistence of disagreement and formation of opinions convergence or consensus in the real world social system.

中文翻译：

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为什么持续讨论可以促进意见的共识？

为什么通过持续的沟通，讨论和互动趋于融合集体意见？在社会影响力网络模型的框架下，我们严格证明了群体共识几乎肯定在有限的步骤之内。这是一个相当确定的结果，反映了现实世界中的普遍现象。另外，我们给出收敛时间的下界。尽管我们的解释完全基于数学推论，但它表明，潜在的社会影响结构是现实世界社会系统中持续存在分歧和意见趋同或共识形成的关键因素。