论文标题

评论和纠正:在越来越同意压力的情况下,意见动态

A Comment on and Correction to: Opinion dynamics in the presence of increasing agreement pressure

论文作者

Griffin, Christopher

论文摘要

我们确定了给出的共识结果的反示例[J。 Semonsen等。意见动力在越来越多的一致压力的情况下。 \ textit {ieee trans。网络。},49(4):1270-1278,2018]。我们通过用Banach固定点定理的新变化在给定参考中替换引理5来解决反示例,该变化既解释了参考文献中的数值结果,又解释了本注释中的反例,并提供了足够的条件,可以在系统中随着同伴压力的增加而达成共识。这项工作与使用Semonsen等人使用的证明技术的其他论文有关。并确定其索赔的真实性,假设有新的条件。

We identify a counter-example to the consensus result given in [J. Semonsen et al. Opinion dynamics in the presence of increasing agreement pressure. \textit{IEEE Trans. Cyber.}, 49(4): 1270-1278, 2018]. We resolve the counter-example by replacing Lemma 5 in the given reference with a novel variation of the Banach Fixed Point theorem which explains both the numerical results in the reference and the counter-example(s) in this note, and provides a sufficient condition for consensus in systems with increasing peer-pressure. This work is relevant for other papers that have used the proof technique from Semonsen et al. and establishes the veracity of their claims assuming the new sufficient condition.

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