Mean-field solution for critical behavior of signed networks in competitive balance theory

Competitive balance model has been proposed as an extension to the address conflict of interests in signed networks arXiv:2001.04664 . In this two different paradigms compete with each other due competitive dominate system and impose their own values. Using mean-field solution method paper, we examine thermal behavior model. Our results show that under a certain temperature, symmetry between will spontaneously break which leads discrete phase transition. So, starting heterogeneous network, if agents aim ultimately decrease tension stemming from theory, evolution chooses only one existing stability arises where paradigm dominates network. The critical temperature depends linearly on number nodes, was linear dependence theory well. Finally obtained through are verified by series simulations.