A modified Vicsek model based on the evolutionary game

Despite a large number of studies on collective motion, individuals are usually assumed to participate in flocking unconditionally, and the cost of communication with other in-dividuals is rarely considered . In fact, individuals often need to face a dichotomous sce-nario: choosing to move together with others and pay the communication cost, or choos-ing to walk alone and have no communication cost. In this paper, a modified Vicsek model is proposed, in which agents have different kinds of moving patterns depending on the strategies taken by them. Each individual obtains a payoff based on the benefit of the col-lective motion and the cost of communication with neighbors. Individuals update their strategies according to the evolutionary game theory. It is found that not only cooperation can be maintained, but also the highest synchronization level can be achieved at an op-timal value of communication radius. The influence of other pertinent quantities such as the random noise, the relative cost, and the density of agents have also been investigated in detail.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This paper proposes a modified Vicsek model to investigate the impact of communication costs on the behavior of individuals choosing to move together or walk alone. The research findings demonstrate that cooperation can be maintained and the highest level of synchronization can be achieved at an optimal communication radius.