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Social network formation and strategic interaction in large networks
Mathematical Social Sciences ( IF 0.6 ) Pub Date : 2021-04-09 , DOI: 10.1016/j.mathsocsci.2021.01.006
Euncheol Shin

This paper presents a bilateral network formation model that explains why some empirical degree distributions exhibit the increasing hazard rate property (IHRP). In my model, a sequentially arriving node forms a link with an existing node through a bilateral agreement. This newborn node prefers a highly linked node; however, the more links an existing node have, the more the marginal return from an additional link diminishes. I prove that the IHRP emerges if and only if the latter effect prevails over the former. I provide two implications of the IHRP. First, I show that the IHRP is related to the existence of equilibria in network games with strategic complementarities. Second, I fit the model to empirical degree distributions and demonstrate that the IHRP is more likely to be observed in social and economic networks. For those networks, my model also exhibits a higher data-fitting performance than other distributions.



中文翻译:

大型网络中的社交网络形成和战略互动

本文提出了一个双边网络形成模型,该模型解释了为什么一些经验程度分布表现出增加的危险率特性(IHRP)。在我的模型中,顺序到达的节点通过双边协议与现有节点形成链接。这个新生节点更喜欢高度链接的节点。但是,现有节点拥有的链接越多,附加链接的边际收益就越减少。我证明,只有在后者的影响高于前者的情况下,IHRP才会出现。我提供了IHRP的两个含义。首先,我证明了IHRP与具有战略互补性的网络游戏中均衡的存在有关。其次,我将模型拟合到经验程度分布,并证明在社会和经济网络中更可能观察到IHRP。对于那些网络,我的模型还显示出比其他分布更高的数据拟合性能。

更新日期:2021-04-19
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