Phase transitions for rock-scissors-paper game on different networks

The effect of phase transitions for rock-scissor-paper game on different host networks was analyzed using Monte Carlo simulations and dynamical mean-field approximations. The system exhibited two subsequent transitions, self-organizing patterns and global oscillation, if the transition was increased. It was found that the transition point depends on the dimension d of the original lattice. The results show that the value of clustering coefficient is irrelevant in the emergence of a global oscillating phase.