Investigation On Group Coordination Behavior Under Competition Mechanism

In the process of self-discovery,it is very important to explore the changing rules of group opinions and behaviors in social networks.It reveals the basic law of the development of human society and animal species so as to promote the development of society towards a more harmonious and stable direction.The interaction of individuals in society is very complex,and the factors that affect each individual’s behavior are also different,such as external pressure,stubbornness,competition.Competition is the psychological needs and behaviors of individuals or groups trying to outdo each other,which plays an important role in social network.We try to investigate the behavior of social individuals through appropriate modeling,find the law of individual development and the factors that affect the consensus of individual opinions and give appropriate explanations.It is of great theoretical and practical significance to model the evolution of opinions under competition mechanism and consider various psychological and social behaviors of social individuals to explore how ideas spread,gather and spread on the network under competition mechanism.Therefore,this paper mainly investigates how individuals’ opinions evolve under competition mechanism.In this paper,the opinion dynamics model with antagonistic(competitive)relationship,multiple interdependent topics and the stubborn individuals is investigated.Different from the classical Friedkin-Johnsen(F-J)model,in our model,antagonistic and cooperative relationships are considered simultaneously.Furthermore,multiple logically interdependent topics are discussed in our model where the logical interdependence between the different topics is captured by a logic matrix.For structurally balanced and unbalanced network topologies,we rigorously examine the stability and convergence of our proposed model.A few conditions of stability and convergence are obtained.These conditions completely depend on network topology,stubborn coefficient and the logic matrix.They fully show that these factors jointly affect the evolution of opinions.Finally,a few numerical simulations are provided to illustrate our obtained results.