  We study the interplay between evolutionary game and network structure and
show how the dynamics of the game affect the growth pattern of the network and
how the evolution of the network influence the cooperative behavior in the
game. Simulation results show that the payoff-based preferential attachment
mechanism leads to the emergence of a scale-free structural property, $P(k)\sim
k^{-\gamma}$. Moreover, we investigate the average path length and the
assortative mixing features. The obtained results indicate that the network has
small-world and positive assortative behaviors, which are consistent with the
observations of some real social networks. In parallel, we found that the
evolution of the underlying network structure effectively promotes the
cooperation level of the game. We also investigate the wealth distribution
obtained by our model, which is consistent with the Pareto law in the real
observation. In addition, the analysis of the generated scale-free network
structure is provided for better understanding the evolutionary dynamics of our
model.
