Hysteresis behavior and nonequilibrium phase transition in a one-dimensional evolutionary game model

摘要

We investigate a simple evolutionary game model in one dimension.It is found that the system exhibits a discontinuous phase transition from a defection state to a cooperation state when the b payoff of a defector exploiting a cooperator is small.Furthermore,if b is large enough,then the system exhibits two continuous phase transitions between two absorbing states and a coexistence state of cooperation and defection,respectively.The tri-critical point is roughly estimated.Moreover,it is found that the critical behavior of the continuous phase transition with an absorbing state is in the directed percolation universality class.