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arXiv 1002.1896physics.soc-phcs.MA
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群体水平与总体水平不同时的Deffuant模型自适应网络

When group level is different from the population level: an adaptive network with the Deffuant model

F. Gargiulo, S. Huet

摘要:

我们提出了一个模型耦合经典观点动力学的有界信心模型,提出了由Deffuant等人,其中自适应网络形成社区或群组结构。在每一步,一个人可以决定是否改变群体或与其内部或外部邻居的意见进行互动。如果它决定查看组级别,如果它的意见与其组的平均值相差很远,超过阈值,它就会改变组。如果是这样的话,它加入了一个群体,这个群体有比例上最接近的平均意见。如果它决定与它的邻居之一交互,当它的意见和被选择交互的邻居的意见离阈值较近时,它在意见上变得更接近它。通过对这个耦合模型的研究,我们发现了一些与已知的Deffuant有界置信模型(BC)相比令人惊讶的行为:对于低于BC模型的阈值,耦合模型表现出完全一致性;从群体的角度来看,共识仍然是一个大的阈值集,而从人口层面来看,有很多意见集群。

英文摘要:

We propose a model coupling the classical opinion dynamics of the bounded confidence model, proposed by Deffuant et al., with an adaptive network forming a community or group structure. At each step, an individual can decide if it changes groups or interact on its opinion with one of its internal or external neighbour. If it decides to look at the group level, it changes groups if its opinion is far from the average of its group from more than a threshold. If it is the case, it joins the group which has proportionally the closest average opinion from its. If it decides to interact with one of its neighbour, it becomes closer in opinion to it when its opinion and the one of the selected-to-interact neighbour are less distant from the threshold. From the study of this coupled model, we discover some surprising behaviours compared to the known behaviour of the Deffuant bounded confidence model(BC): The coupled model exhibits a total consensus for an threshold value lower than the BC model; the distribution of sizes of the groups changes: some groups become larger while other decrease in size, sometimes until containing only one individual; from the point of view of the groups, the consensus remains for a large set of threshold values while, looking at the population level, there are a lot of opinion clusters.

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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