Evolution of Social Power of Stubborn Individuals in Cooperation-Competition Networks

This article investigates the evolution of social power of individuals in cooperation-competition networks as depicted by Friedkin-Johnsen model. In the framework of the study, individuals interact with a series of issues and thus generate the evolution of corresponding social power. Considering the competition factors of individuals, the mirror individual of each individual is constructed by the method of lifting approach, and then the competition relationship between individuals is transformed into the cooperation relationship of the new network after the expansion. The reflection evaluation mechanism is used to study the development of social power, we obtain the scope of individual social power when the system reaches equilibrium state, and when individuals' stubbornness meet certain conditions, social power are the same for different initial viewpoints when reaching a state of balance, in the end, the experimental results verified the correctness of the theory.