The roles of small-world and degree heterogeneity on evolutionary behavior networks

Abstract

This paper studies the roles of small-world and degree heterogeneity features on the behavioral diversity in a structured population. The findings conclude that the collective behaviors are prone to the much higher diversity in a homogeneous structure due to the small-world effect, yet they are affected little in a scale-free structure. And the degree heterogeneity promotes the behavioral diversity a little while the population structure is homogeneous, but inhibits diversity while it is scale-free. Our work may be helpful for better understanding the collective evolutionary dynamic behaviors in a homogeneous or scale-free structured population.