  The evolution of cooperation among unrelated individuals in human and animal
societies remains a challenging issue across disciplines. It is an important
subject also in the evolutionary game theory to research how cooperation
arises. The subject has been extensively studied especially in Prisonars'
dilemma game(PD) and the emergence of cooperation is important subject also in
public goods game(PGG).
  In this article, we consider evolutionary PGG on complex networks where the
topology of the networks varies under the infulence of game dynamics. Then we
study what effects on the evolution of player's strategies, defection and
cooretation and the average payoff does the interaction between the game
dynamics and the network topology bring. By investigating them by making
computer simulations, we intend to clear in what situations cooperation
strategy is promoted or preserved. We also intend to investigate the infuluence
of the interaction on the average payoff over all players. Furthermore how
initial networks are transformed to final networks by the evolution through the
influences of PGG dynamics is invistigated.
