|
Abstract
|
Balance theory has been used to study the solidarity and the stability of a social network. One of the most
important dynamics for social evolution has been introduced by Antal and his collaborators, which is based on
the reduction of the tension between social elements. This idea may not always be correct. That means, all triad
of elements of a social network may not be willing to change their relationship to reduce the tension. In order to
better investigate the evolution of a society, we introduce a new stochastic dynamics. In addition to the reduction
of the tension, by introducing a parameter which represents the random nature of the s behavior of a
social network, we add a probability for increasing tension, too. This dynamics, due to the introduced order
parameter, demonstrates a transition into a balance state from an unbalanced one. On the other hand, the final
positive interactions are strongly dependent on the initial positive interactions among the individuals.
|