This paper describes simulation studies in order to examine the validity of our previous predictions of the emergence of money using Doubly Structural Network Model (DSN model). DSN model consists of two levels of networks: the one of inner-agent model to represent their beliefs or knowledge about the world and the other of inter-agent model to represent a social network among agents. Using DSN model, we have explained how the concepts of money as a exchangeable media emerges through agent interaction. DSN Model is congenial to agent-based simulation. In this paper, using large scale intensive computer experiments, we investigate the bifurcation analysis derived from dynamics of DSN model. We also show new emergent phenomena on various types of social networks.