论文标题
关于随机行动对意见动态的影响
On the Impact of Random Actions on Opinion Dynamics
论文作者
论文摘要
我们研究了一个社交网络中的意见动态，这些顽固的代理人影响了邻居，但他们自己总是坚持最初的意见。我们首先考虑著名的DeGroot模型。虽然文献中已经知道，即使在存在顽固的药物的情况下，该模型也会导致共识，但我们表明，相同的结果在假设较弱的情况下比以前报道的较弱。然后，我们考虑了degroot模型的最新扩展，其中每个代理的意见是一个随机的bernoulli分布式变量，并且通过利用第一个结果，我们确定在存在顽固剂的情况下，从概率融合的意义上，该模型也会导致共识。此外，所有代理商的意见都融合了顽固的代理人的意见。我们还考虑了该模型上的一种变化，在这种模型中，顽固的代理被漂流剂代替，并表明在这种情况下也可以实现放牧。最后，我们对最近文献中有关密切相关模型的主张的证据进行了详细的批评。
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.
