arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1507.04062physics.soc-phcs.SI
收藏

具有非冗余信息记忆的社会传染动力学

Dynamics of social contagions with memory of non-redundant information

Wei Wang, Ming Tang, Hai-Feng Zhang, Ying-Cheng Lai

摘要:

社会传染动力学的一个关键因素是强化,因为采取某种社会行为需要验证其可信度和合法性。非冗余信息的记忆在强化过程中起着重要作用,但迄今为止还没有理论分析。我们首先提出了一个具有非冗余信息记忆强化的一般社会传染模型。然后,我们发展了一个统一的基于边的分区理论来分析这个模型,并在一些特定的模型得到了显着的协议与数值计算。以传播阈值模型为例来理解记忆效应,即只有当个体从邻居那里获得的信息累积超过一个采纳阈值时,个体才会采取一种社会行为。通过分析和数值模拟,我们发现,记忆特性显着影响的动态量化的最终采用大小。引人注目的是,我们发现了一个过渡现象,其中最终采用大小对一些关键参数的依赖,如传输概率,可以从不连续变为连续。这种过渡可以通过适当的参数和结构扰动来触发,例如降低个体的采纳阈值,增加初始种子大小或增强网络的异质性。

英文摘要:

A key ingredient in social contagion dynamics is reinforcement, as adopting a certain social behavior requires verification of its credibility and legitimacy. Memory of non-redundant information plays an important role in reinforcement, which so far has eluded theoretical analysis. We first propose a general social contagion model with reinforcement derived from non-redundant information memory. Then, we develop a unified edge-based compartmental theory to analyze this model, and a remarkable agreement with numerics is obtained on some specific models. Using a spreading threshold model as a specific example to understand the memory effect, in which each individual adopts a social behavior only when the cumulative pieces of information that the individual received from his/her neighbors exceeds an adoption threshold. Through analysis and numerical simulations, we find that the memory characteristic markedly affects the dynamics as quantified by the final adoption size. Strikingly, we uncover a transition phenomenon in which the dependence of the final adoption size on some key parameters, such as the transmission probability, can change from being discontinuous to being continuous. The transition can be triggered by proper parameters and structural perturbations to the system, such as decreasing individuals' adoption threshold, increasing initial seed size, or enhancing the network heterogeneity.

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。

↑