A modified Vicsek model based on the evolutionary game

•Considering that individuals can choose to participate or not to participate in collective motion from the perspective of individual interests and group interests.•Further study the influence of communication costs on the choice of individual behavioral strategy.•A modified VM is proposed by introducing the evolution game theory into collective motion, in which different movement modes are designed for the cooperators and the defectors and a reasonable payoff function is proposed.•Numerical simulations have been done to study how the communication radius, the random noise, the relative cost and the density of agents affect the co-evolution of cooperation and synchronization of the proposed model.