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arXiv 1406.7585cs.SIphysics.soc-ph
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自适应社交网络中的社会扩散与全局漂移

Social diffusion and global drift in adaptive social networks

Hiroki Sayama

摘要:

社会传染已经在不同的背景下进行了研究。社会传染的许多实例可以被建模为一个感染过程,其中一个特定的状态(产品,时尚,知识,行为等的采用)。通过个体之间的联系在个体之间传播。与此同时,其他形式的社会传染可能更好地理解为一个扩散过程,在这个过程中,个人的状态往往与社会规范同化(即,当地平均状态)在他/她的邻域内。与影响是非线性、单向、快速和潜在破坏性的感染场景不同,社会扩散是线性、双向、渐进和收敛的。个体状态与其邻居平均状态之间的距离总是减小的,从而保证了一个均匀的全局状态是网络长期稳定的平衡状态。这听起来并不像感染动力学那样有趣或令人兴奋,这可能是为什么很少有关于社会扩散过程数学模型的研究。在这里,这项研究试图揭示社会扩散的一个未被认识的特征,即,它可能导致网络的全局平均状态的非平凡漂移。虽然有些违反直觉,但这种全球漂移确实是可能的,因为与物理扩散过程不同,社会扩散过程不是保守的。在下文中,将提出一个社会扩散的数学模型来解释这一现象的机制,并提出一些可能的集体行动来影响全球漂移的方向。社会传播与个人和集体进步的相关性将被简要讨论,重点是教育应用。

英文摘要:

Social contagion has been studied in various contexts. Many instances of social contagion can be modeled as an infection process where a specific state (adoption of product, fad, knowledge, behavior, etc.) spreads from individual to individual through links between them. In the meantime, other forms of social contagion may better be understood as a diffusion process where the state of an individual tends to assimilate with the social norm (i.e., local average state) within his/her neighborhood. Unlike infection scenarios where influence is nonlinear, unidirectional, fast, and potentially disruptive, social diffusion is linear, bidirectional, gradual, and converging. The distance between an individual's state and his/her neighbors' average state always decreases, and thus a homogeneous global state is guaranteed to be the network's stable equilibrium state in the long run. This does not sound as intriguing or exciting as infection dynamics, which might be why there are very few studies on mathematical models of social diffusion processes. Here, this study attempts to shed new light on an unrecognized characteristic of social diffusion, i.e., non-trivial drift it can cause to the network's global average state. Although somewhat counterintuitive, such global drift is indeed possible because, unlike physical diffusion processes, social diffusion processes are not conservational. In what follows, a mathematical model of social diffusion will be presented to explain the mechanism of this phenomenon, and some possible collective actions for influencing the direction of global drift will be proposed. The relevance of social diffusion to individual and collective improvement will be discussed briefly, with an emphasis on educational applications.

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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