单路和多路网络上的扩散动力学：一种消息传递方法
Dynamics of diffusion on monoplex and multiplex networks: A message-passing approach
摘要：
少数人采用的新思想和新技术偶尔会通过复杂的社会关系网传播到全球。在这里，我们提出了一个简单而通用的近似方法，即消息传递的方法，使我们能够描述复杂网络上的扩散过程中几乎精确的方式。我们考虑两类二进制动作游戏，在每一个最好的纯策略的个人球员的特点是作为一个变种的阈值规则。我们发现，在合成网络上观察到的扩散动态准确地复制的消息传递方程，其不动点对应于一个纳什均衡。相比之下，平均场方法倾向于高估扩散的大小和频率。我们扩展的框架来分析多重网络中的社会互动发生在多个层次。
英文摘要：
New ideas and technologies adopted by a small number of individuals occasionally spread globally through a complex web of social ties. Here, we present a simple and general approximation method, namely, a message-passing approach, that allows us to describe the diffusion processes on complex networks in an almost exact manner. We consider two classes of binary-action games in each of which the best pure strategy for individual players is characterized as a variant of the threshold rule. We show that the dynamics of diffusion observed on synthetic networks are accurately replicated by the message-passing equation, whose fixed point corresponds to a Nash equilibrium. In contrast, the mean-field method tends to overestimate the size and frequency of diffusion. We extend the framework to analyze multiplex networks in which social interactions take place in multiple layers.
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