The Opinion Dynamics On Complex Network Based On Evolutionary Games

In real life,each individual has his own opinion,and how to reach consensus is an important aspect of studying social behavior.All the time,the opinion dynamics theory based on the complex network well r-epresents the existence form of views in the real society.Meanwhile,the strategy updating rules in evolutionary game theory can well reflect the evolution process of strategy in the system.Recently,the studies of evolutionary games on the opinion formation have attracted a lot of attention.It provides a power-ful tool for us to study the status of consensus in real life,and also provides a new way of thinking for us to study complex systems.By introducing the game theory into the opinion dynamics model,we suppose that when two individuals in the network have the same viewpoint,the individuals will be rewarded,otherwise the individuals will be punished.In this way,we can conveniently study the evolution process of opinion dynamics based on game theory.At the same time,we introduce conformity-driven teaching ability into this model.In this model,we use a sensitive factor H to characterize the sensitivity of conformity on the teaching ability.Through the results,we find that smaller H value can effectively shorten the consensus time of the system,which means that the more driven the dependence of conformity is to the teaching ability,the faster the system can reach a stable state.At the same time,we find that there is a threshold for the sensitive parameter H.When H is below this threshold,the consensus time of the system will not change significantly with the change of H,but maintain a minimum value.On the contrary,if H is greater than this threshold,the consensus time of the system will increase significantly with the increase of H.In order to explore the reasons for the above phenomena in more detail,we give a more detailed explanation by investigating for the evolution of clusters in the system.Finaly,we study the influence of leaders on the opinion dynamics and find that when leaders in this network hold the same opinion,they will significantly lead their opinion to occupy the whole system.