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Interaction between populations promotes cooperation in voluntary prisoner's dilemma

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  • Shi, Juan
  • Hu, Die
  • Tao, Rui
  • Peng, Yunchen
  • Li, Yong
  • Liu, Jinzhuo

Abstract

The coexistence of different populations has recently been confirmed to be a simple yet effective mechanism to understand the stability of cooperation. Based on this intuition, we use the voluntary prisoner's dilemma (VPD) game as the mathematical model to explore the spatiotemporal dynamics of cooperation among different populations. By using parameter α as a key quantity that takes into account the strength of connections between populations, we observe that a fascinating spiral pattern is spontaneously formed, adding a new population always brings additional prey to cooperators in other populations, leading to competing spatial dynamics and pattern formation. Moreover, the system gradually changes from the C + D + L state to the C + D state and finally to the full C state. The inherent cyclic dominance of the strategies results in the self-organization of populations on the square lattice and ultimately effectively promotes cooperation. Our work emphasizes that the complexity of the evolutionary dynamics of structural populations is significantly increased by the simultaneous existence of different populations.

Suggested Citation

  • Shi, Juan & Hu, Die & Tao, Rui & Peng, Yunchen & Li, Yong & Liu, Jinzhuo, 2021. "Interaction between populations promotes cooperation in voluntary prisoner's dilemma," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    • Handle: RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306810
    DOI: 10.1016/j.amc.2020.125728
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    References listed on IDEAS

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    1. Jia, Danyang & Shen, Chen & Guo, Hao & Chu, Chen & Lu, Jun & Shi, Lei, 2018. "The impact of loners’ participation willingness on cooperation in voluntary prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 218-223.
    2. Liu, Chen & Shi, Juan & Li, Tong & Liu, Jinzhuo, 2019. "Aspiration driven coevolution resolves social dilemmas in networks," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 247-254.
    3. Chen Shen & Chen Chu & Yini Geng & Jiahua Jin & Fei Chen & Lei Shi, 2018. "Cooperation enhanced by the coevolution of teaching activity in evolutionary prisoner's dilemma games with voluntary participation," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-8, February.
    4. Jia, Danyang & Jin, Jiahua & Du, Chunpeng & Shi, Lei, 2018. "Effects of inertia on the evolution of cooperation in the voluntary prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 817-826.
    5. 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.
    6. Alam, Muntasir & Nagashima, Keisuke & Tanimoto, Jun, 2018. "Various error settings bring different noise-driven effects on network reciprocity in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 338-346.
    7. K. M. Ariful Kabir & Jun Tanimoto & Zhen Wang, 2018. "Influence of bolstering network reciprocity in the evolutionary spatial Prisoner’s Dilemma game: a perspective," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(12), pages 1-10, December.
    8. Alam, Muntasir & Kuga, Kazuki & Tanimoto, Jun, 2019. "Three-strategy and four-strategy model of vaccination game introducing an intermediate protecting measure," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 408-422.
    9. Liu, Jinzhuo & Meng, Haoran & Wang, Wei & Li, Tong & Yu, Yong, 2018. "Synergy punishment promotes cooperation in spatial public good game," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 214-218.
    10. Alam, Muntasir & Tanaka, Masaki & Tanimoto, Jun, 2019. "A game theoretic approach to discuss the positive secondary effect of vaccination scheme in an infinite and well-mixed population," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 201-213.
    11. Iwamura, Yoshiro & Nagashima, Keisuke & Tanimoto, Jun, 2020. "Evolutionary dynamics of a 3-strategy game: Cooperator, defector and costly cooperative loner strategic types," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    12. Shahid Naeem & Shibin Li, 1997. "Biodiversity enhances ecosystem reliability," Nature, Nature, vol. 390(6659), pages 507-509, December.
    13. Chu, Chen & Zhai, Yao & Mu, Chunjiang & Hu, Die & Li, Tong & Shi, Lei, 2019. "Reputation-based popularity promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    14. Nagashima, Keisuke & Tanimoto, Jun, 2019. "A stochastic Pairwise Fermi rule modified by utilizing the average in payoff differences of neighbors leads to increased network reciprocity in spatial prisoner's dilemma games," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 661-669.
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    Cited by:

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    2. Li, Xiaoyu & Jia, Danyang & Niu, Xiaotong & Liu, Chen & Zhu, Peican & Liu, Dujuan & Chu, Chen, 2022. "Ability-based asymmetrical fitness calculation promotes cooperation in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    3. Xiaoyu Li & Le Cheng & Xiaotong Niu & Siying Li & Chen Liu & Peican Zhu, 2021. "Highly cooperative individuals’ clustering property in myopic strategy groups," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(6), pages 1-7, June.
    4. Deng, Zheng-Hong & Wang, Zi-Ren & Wang, Huan-Bo & Huang, Yijie, 2021. "Impact of informers on the evolution of cooperation in prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    5. Huang, Shaoxu & Liu, Xuesong & Hu, Yuhan & Fu, Xiao, 2023. "The influence of aggressive behavior on cooperation evolution in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    6. Chu, Chen & Cui, Simin & Yuan, Zheng & Yu, Chunbin, 2022. "A win-stay-lose-learn mechanism based on aspiration can promote cooperation in a multigame," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    7. Li, Dandan & Zhou, Kai & Sun, Mei & Han, Dun, 2023. "Investigating the effectiveness of individuals’ historical memory for the evolution of the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    8. Liu, Siyuan & Zhang, Chunyan & Li, Kun & Zhang, Jianlei, 2022. "Exploring the inducement for social dilemma and cooperation promotion mechanisms in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    9. Li, Dandan & Sun, Xiaoxiao & He, Youxin & Han, Dun, 2022. "On prisoner’s dilemma game with psychological bias and memory learning," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    10. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2023. "Impact of peer pressure on the evolution of cooperation in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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