The Influence of Preference Learning on Complex Network Community under the Nash Equilibrium

We study the influence of preference learning on the community of complex network, on the basis of evolutionary game. First, we construct a model of complex network based on the evolutionary game, and we study the degree distribution and the average degree of the model, and according to whether the individual consider the Nash equilibrium when it choose its action, we study the community of the model. We can safely draw the conclusion that Nash equilibrium is necessary for individuals to choose actions when gaming with others.