HETEROGENEOUS ASPIRATIONS PROMOTE COOPERATION IN THE PUBLIC GOODS GAME

We study the impact of heterogeneous aspirations on the spatial public goods game(PGG) in a square lattice. An aspiration parameter u is introduced to decide who will be more probably to become the potential strategy source in structured population. Individuals are divided into two groups A(u > 0) and B(u = 0) by fraction v and 1 - v. We study how u and v affect cooperation in the PGG. For low values of u, the cooperation level monotonously increases as v increases. However, for large values of u, there exist an intermediate v ≈ 0.5 for which cooperation thrivesbest. The influence of noise is also investigated. We find that the highest threshold of phase transition is reached at the middle value of noise.