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Abstract
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Social balance theory has been used for investigating the stability of a social network. The balance is one of the emerging behaviors in social networks. Indeed, the bipolarity is the output of relationship interactions between individuals in such networks. Democrats/Republicans poles, or allied/axis powers in World War 2 is two examples of such outputs. Although this structure, which is called social balance, is well defined, but it is unclear how this bipolarity occurs. The main part of balance theory studies is related to the design of dynamical models that can represent different aspects of human behaviors in social networks, more precisely, and also can describe the appearance of such a social balance. Almost, all previous models are based on the tention reduction among the individuals in social networks. This idea is not alwas correct. That means every two elements of a social network may not be willing to change their relationship toward the tention reduction. To better investigate the evolution of a society, we introduce a stochastic dynamical model. By defining a parameter which shows the stochastic nature of the individual behaviors, we consider a probability for increasing the tention in addition to the tention reduction. Our dynamics shows a sharp phase transition from an imbalanced state into a balanced one. The independency of the dynamics on the initial conditions demonstrates the universality of such behaviors. The presence of the disorder parameter makes the possibility of scaping from unwanted jammed states, the ones which are the disadvantage of previous models.
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