Spatial evolutionary game with bond dilution

In this paper, we study numerically the prisoner's dilemma game (PDG) and snowdrift game (SG) on a two-dimensional square lattice with both quenched and annealed bond dilution. For quenched bond dilution, the system undergoes a dynamical transition at the critical occupation probability q∗, which is higher than the bond percolation transition point for a square lattice. In the critical region, the defined order parameter has a scaling form as Pe∼(q−q∗)β for q