竞争平衡理论：异构网络中的利益冲突建模
Competitive Balance Theory: Modeling conflict of interest in a heterogeneous network
摘要：
海德平衡理论中的网络动力学通过不断重新评估相互作用来达到平衡状态，从而减少张力。然而，利益冲突是大多数复杂系统所固有的;通常，存在多种理想或平衡状态，朝着一个方向发展可能会对另一个产生不利影响。本文通过引入竞争均衡理论，研究了利益冲突下均衡的演化。在我们的模型中，假设不同的平衡状态在进化过程中竞争主导系统。我们要问的是，通过这些相互作用，不同的平衡状态是否会竞争着战胜它们自己的理想，或者在平衡状态下共存的一系列理想是否是一种可能的结果。结果表明，虽然平衡态具有对称性，但系统要么向对称性破缺方向演化，其中一个平衡态占主导地位，要么在较少的情况下，竞争平衡态共存于阻塞态.
英文摘要：
The dynamics of networks on Heider 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 co-existing 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 co exist in a jammed state.
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