论文标题
在竞争平衡理论中，签署网络的临界行为的均值解决方案
Mean-Field Solution for Critical Behavior of Signed Networks in Competitive Balance Theory
论文作者
论文摘要
竞争平衡模型已被提议作为平衡模型的扩展，以解决签名网络中的利益冲突：2001.04664。在该模型中，由于竞争利益主导并强加自己的价值观，两个不同的范式相互竞争。在本文中，我们使用平均场解决方法，研究竞争平衡模型的热行为。我们的结果表明，在一定温度下，两个竞争兴趣之间的对称性会自发打破，从而导致离散的相变。因此，从一个异质签名的网络开始，如果代理的目的最终降低了源于平衡理论的张力，则进化最终只选择了现有的利益和稳定性之一，而一个范式占主导地位。临界温度线性取决于节点的数量，这也是热平衡理论中的线性依赖性。最后，通过一系列模拟验证了通过平均场理论获得的结果。
Competitive balance model has been proposed as an extension to the balance model to address the conflict of interests in signed networks arXiv:2001.04664 . In this model two different paradigms compete with each other due to the competitive interests to dominate the system and impose their own values. Using mean-field solution method in this paper, we examine the thermal behavior of the competitive balance model. Our results show that under a certain temperature, the symmetry between two competitive interests will spontaneously break which leads to a discrete phase transition. So, starting with a heterogeneous signed network, if agents aim to ultimately decrease tension stemming from balance theory, evolution ultimately chooses only one of the existing interests and stability arises where one paradigm dominates the network. The critical temperature depends linearly on the number of nodes, which was a linear dependence in the thermal balance theory as well. Finally the results obtained through the mean-field theory are verified by a series of simulations.
