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arXiv 2012.15154cs.SI
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论随机行为对舆论动态的影响

On the Impact of Random Actions on Opinion Dynamics

Olle Abrahamsson, Danyo Danev, Erik G. Larsson

摘要:

我们研究了社会网络中的意见动态,顽固的代理人影响他们的邻居,但他们自己总是坚持他们的最初意见。我们首先考虑著名的DeGroot模型。虽然它是已知的,在文献中,该模型可以导致共识,即使在存在一个顽固的代理人,我们表明,相同的结果在较弱的假设下比以前报道的。然后,我们考虑最近扩展的DeGroot模型中,每个代理的意见是一个随机的伯努利分布变量,并利用第一个结果,我们建立了这个模型也导致共识,在概率收敛的意义上,在存在一个顽固的代理。此外,所有的代理人的意见收敛到固执的代理人。我们还考虑了这个模型的一个变化,顽固的代理被替换为漂移代理,并表明羊群效应也在这种情况下实现。最后,我们提供了一个详细的批评证明有关的索赔密切相关的模型在最近的文献。

英文摘要:

We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature that this model can lead to consensus even in the presence of a stubborn agent, we show that the same result holds under weaker assumptions than has been previously reported. We then consider a recent extension of the DeGroot model in which the opinion of each agent is a random Bernoulli distributed variable, and by leveraging on the first result we establish that this model also leads to consensus, in the sense of convergence in probability, in the presence of a stubborn agent. Moreover, all agents' opinions converge to that of the stubborn agent. We also consider a variation on this model where the stubborn agent is replaced with a drifting agent and show that herding is achieved also in this case. Finally, we offer a detailed critique of a proof regarding a claim about a closely related model in the recent literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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