Oloomi F, Masoumi R, Karimipour K, Hosseiny A, Jafari G R
Department of Physics, Shahid Beheshti University, Evin, Tehran 19839, Iran.
Department of Sociology, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4L8.
Phys Rev E. 2021 Feb;103(2-1):022307. doi: 10.1103/PhysRevE.103.022307.
The dynamics of networks on Heider's balance theory moves toward reducing the tension by constantly reevaluating the interactions to achieve a state of balance. Conflict of interest, however, is inherent in most complex systems; frequently, there are multiple ideals or states of balance, and moving towards one could work against another. In this paper, by introducing the competitive balance theory, we study the evolution of balance in the presence of conflicts of interest. In our model, the assumption is that different states of balance compete in the evolution process to dominate the system. We ask whether, through these interactions, different states of balance compete to prevail their own ideals or a set of coexisting ideals in a balanced condition is a possible outcome. The results show that although there is a symmetry in the type of balance the system either evolves towards a symmetry breaking, where one of the states of balance dominates the system, or, less frequently, the competing states of balance coexist in a jammed state.
基于海德平衡理论的网络动态通过不断重新评估相互作用来减少张力，以实现平衡状态。然而，利益冲突在大多数复杂系统中是固有的；通常存在多种理想状态或平衡状态，朝着一种状态发展可能会与另一种状态相悖。在本文中，通过引入竞争平衡理论，我们研究了存在利益冲突时平衡的演变。在我们的模型中，假设是不同的平衡状态在演化过程中相互竞争以主导系统。我们探讨通过这些相互作用，不同的平衡状态是竞争以实现自身的理想状态，还是在平衡状态下一组共存的理想状态是一种可能的结果。结果表明，尽管系统在平衡类型上存在对称性，但它要么朝着对称性破缺的方向演化，即其中一种平衡状态主导系统，要么较少出现的情况是，相互竞争的平衡状态以阻塞状态共存。
