Evolutionary game of opinion dynamics under impact of structural balance

In recent years, many models have been introduced to study on that how those microcosmic individuals with different opinions tend to format macroscopic consensus in the opinion interaction, which have been described by evolutionary game theory. This paper introduce the game theory to model the formation of binary opinions in signed network: cooperative game is used to model the interaction rules of positive(+) relationship between two individuals; minority game is used to model the interaction rules of negative(-) relationship between two individuals. When we calculate those individuals cumulative payoffs, we are firstly induce the probability parameter <;P>; which represent the impact of balance payoff base on structure balance theory to opinion dynamics. Meanwhile, in our work, the result also suggest that when individual resort to more neighbors' opinion as reference, the more difficulty for individual to decide which opinion should be selected, ultimately more consensus time (Tc) will spend on those debate process among individuals.