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Detection of the elite structure in a virtual multiplex social system by means of a generalized K-core

机译:通过广义K核检测虚拟多元社会系统中的精英结构

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摘要

Elites are subgroups of individuals within a society that have the ability and means to influence, lead, govern, and shape societies. Members of elites are often well connected individuals, which enables them to impose their influence to many and to quickly gather, process, and spread information. Here we argue that elites are not only composed of highly connected individuals, but also of intermediaries connecting hubs to form a cohesive and structured elite-subgroup at the core of a social network. For this purpose we present a generalization of the K-core algorithm that allows to identify a social core that is composed of well-connected hubs togethe with their 'connectors'. We show the validity of the idea in the framework of a virtual world defined by a massive multiplayer online game, on which we have complete information of various social networks. Exploiting this multiplex structure we find that the hubs of the generalised K-core identify those individuals that are high social performers in terms of a series of indicators that are available in the game. In addition, using a combined strategy which involves the generalised K-core and the recently introduced M-core, the elites of the different 'nations' present in the game are perfectly identified as modules of the generalised K-core. Interesting sudden shifts in the composition of the elite cores are observed at deep levels. We show that elite detection with the traditional K-core is not possible in a reliable way. The proposed method might be useful in a series of more general applications, such as community detection.
机译:精英是社会中具有影响,领导,治理和塑造社会的能力和手段的个人子群体。精英成员通常是紧密联系的个人,这使他们能够将自己的影响力强加给许多人,并迅速收集,处理和传播信息。在这里,我们认为,精英不仅由高度联系的个人组成,而且还由连接枢纽的中介机构组成,在社会网络的核心形成一个凝聚而结构化的精英子群体。为此,我们介绍了K-core算法的一般化,该算法可识别由连接良好的集线器与其“连接器”连接在一起的社交核心。我们在一个由大型多人在线游戏定义的虚拟世界的框架中证明了该想法的有效性,在该世界上,我们拥有各种社交网络的完整信息。利用这种多元结构,我们发现广义K核心的中心根据游戏中可用的一系列指标来识别那些具有较高社交表现的人。此外,使用涉及广义K核心和最近引入的M核心的组合策略,可以将游戏中存在的不同“民族”的精英完美地识别为广义K核心的模块。在深层观察到了有趣的岩心组成突然变化。我们证明了用传统的K核无法进行可靠的精英检测。所提出的方法可能在一系列更通用的应用程序中很有用,例如社区检测。

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