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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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    References listed on IDEAS

    as
    1. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    2. Zhang, Yanling & Chen, Xiaojie & Liu, Aizhi & Sun, Changyin, 2018. "The effect of the stake size on the evolution of fairness," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 641-653.
    3. Du, Wen-Bo & Cao, Xian-Bin & Zhao, Lin & Hu, Mao-Bin, 2009. "Evolutionary games on scale-free networks with a preferential selection mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4509-4514.
    4. Szolnoki, Attila & Chen, Xiaojie, 2020. "Blocking defector invasion by focusing on the most successful partner," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    5. Volker Schaller & Christoph Weber & Christine Semmrich & Erwin Frey & Andreas R. Bausch, 2010. "Polar patterns of driven filaments," Nature, Nature, vol. 467(7311), pages 73-77, September.
    6. Wang, Xiaofeng & Chen, Xiaojie & Gao, Jia & Wang, Long, 2013. "Reputation-based mutual selection rule promotes cooperation in spatial threshold public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 181-187.
    7. Zhang, Jun & Wang, Wei-Ye & Du, Wen-Bo & Cao, Xian-Bin, 2011. "Evolution of cooperation among mobile agents with heterogenous view radii," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2251-2257.
    8. Caiyun Wang & Jing Han, 2018. "How does the interaction radius affect the performance of intervention on collective behavior?," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-19, February.
    9. Manna, Debasis & Maiti, Alakes & Samanta, G.P., 2018. "Analysis of a predator-prey model for exploited fish populations with schooling behavior," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 35-48.
    10. Matjaž Perc & Zhen Wang, 2010. "Heterogeneous Aspirations Promote Cooperation in the Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-8, December.
    11. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolution of cooperation among mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1615-1622.
    12. Li, Yumeng & Zhang, Jun & Perc, Matjaž, 2018. "Effects of compassion on the evolution of cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 437-443.
    13. Wang, Qun & Wang, Hanchen & Zhang, Zhuxi & Li, Yumeng & Liu, Yu & Perc, Matjaž, 2018. "Heterogeneous investments promote cooperation in evolutionary public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 570-575.
    14. Chen, Mei-huan & Wang, Li & Wang, Juan & Sun, Shi-wen & Xia, Cheng-yi, 2015. "Impact of individual response strategy on the spatial public goods game within mobile agents," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 192-202.
    15. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolutionary prisoner’s dilemma game in flocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(1), pages 50-56.
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    2. Wang, Chengjie & Deng, Juan & Zhao, Hui & Li, Li, 2024. "Effect of Q-learning on the evolution of cooperation behavior in collective motion: An improved Vicsek model," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    3. Wang, Jianwei & Xu, Wenshu & Zhang, Xingjian & Zhao, Nianxuan & Yu, Fengyuan, 2023. "Redistribution based on willingness to cooperate promotes cooperation while intensifying equality in heterogeneous populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    4. Shang, Lihui & Xu, Zhiqiang, 2023. "Adaptive control strategy improves synchronization of self-propelled agents," Applied Mathematics and Computation, Elsevier, vol. 454(C).

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