Diffusion analysis of distributed adaptive networks with graphical evolutionary game

Most existing distributed adaptive filtering algorithms focus on de- signing different information diffusion rules, regardless of the nature evolutionary characteristic of a distributed network. However, due to the natural selfishness and rationality, nodes in a distributed network may not be willing to follow a predefined rule. Instead, they tend to follow some nature evolutionary rule. Therefore, it is ample of im- portance to study the information diffusion problem in a distributed network from the evolutionary game theoretic perspective. In this paper, we analyze the information diffusion over the adaptive net- work with regular graph and derive the close-form expression for the diffusion probability using graphical evolutionary game theory. Simulation are conducted to verify the effectiveness of our analysis.