Dynamical organization of cooperation on homogeneous networked system

In this paper, we study cooperative behaviors on homogeneous networks with different topological randomness. We find that, compared with the square lattice, the topological randomness promotes the emergence of cooperation in the networked prisoner´s dilemma game. In order to explain this phenomenon, we observe the dynamical coevolution and organization of cooperators and defectors, and find almost all the individuals are altering their strategies at the steady state. These fluctuating individuals are easier to compose larger clusters when the network becomes more disordering. Therefore, the cooperators in random homogeneous networks can protect themselves more efficiently from the exploitation of defectors than those in regular lattices.