Two-way selection on complex weighted networks

The phenomena of two-way selection among people are universal. In the paper, we depict the model of two-way selection in complex weighted networks and give its mathematical theory tools for uncovering the dynamics of human behaviors. We present two definitions: direct matching and indirect matching, which exist in social life. Based on priority, we give two different methods that how an individual to find a match object. In the former case, we consider an individual’s neighbors as his selections. In the latter case, based on the Markov process we develop a method that how an individual to find a match object through its neighbors in complex weighted networks. Our framework is of both fundamental and practical interest, as it provides a novel understanding of the interplay between weighted networks and two-way selection.