Individual behavior and social wealth in the spatial public goods game

Group interactions on structured populations can be represented by the public goods game on networks. During the evolutionary games, selective investment mechanism fosters social cooperative behavior. First we focus on star-like graphs to provide some light on why selective investment mechanism can promote collective cooperation. Then we implement public goods game with this mechanism on scale free networks to investigate behavior properties of individuals within different social environments. We indicate that high-degree nodes are predominantly inert owning largely to their satisfaction with their status, while low-degree nodes are very active due to their strive towards higher prosperity. Besides, we introduce the Gini coefficient to describe social inequality and find that large multiply factor r favors social fairness. Our work is applicable for community supervision and social wealth regulation.