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A modified Vicsek model based on the evolutionary game

Author

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  • You, Feng
  • Yang, Han-Xin
  • Li, Yumeng
  • Du, Wenbo
  • Wang, Gang

Abstract

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 individuals is rarely considered. In fact, individuals often need to face a dichotomous scenario: choosing to move together with others and pay the communication cost, or choosing 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 collective 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 optimal 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.

Suggested Citation

  • You, Feng & Yang, Han-Xin & Li, Yumeng & Du, Wenbo & Wang, Gang, 2023. "A modified Vicsek model based on the evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    • Handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s0096300322006397
    DOI: 10.1016/j.amc.2022.127565
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