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Investigating the effects of updating rules on cooperation by incorporating interactive diversity

Author

Listed:
  • Peican Zhu

    (Northwestern Polytechnical University
    Northwestern Polytechnical University)

  • Xin Hou

    (Northwestern Polytechnical University
    Northwestern Polytechnical University)

  • Yangming Guo

    (Northwestern Polytechnical University)

  • Jiwei Xu

    (Xi’an University of Posts and Telecommunications)

  • Jinzhuo Liu

    (Northwestern Polytechnical University
    Yunnan University)

Abstract

In reality, most individuals are prone to vary strategies when interacting with their counterparts; thus, it is highly likely that different strategies will be applied when confronting with different players, being referred to as interactive diversity. Numerous scholars have devoted their endless efforts into the investigation of the emergence and maintenance of cooperation for interactive diversity scenarios and this becomes an interesting research topic recently. However, evolutionary dynamics of such games still needs to be further studied. Here, a co-evolving mechanism is proposed aiming to study the effects of applying different updating rules on the level of cooperation when considering interactive diversity. Teaching and learning updating rules are considered in the co-evolving mechanism. Then, we have done extensive experiments and corresponding simulation results are provided. Sufficient analyses of the simulation results are given in order to understand the origin of the observed experimental phenomena. We find the fact that with the increase of the proportion of Type-T players, individuals start to adopt the strategy of cooperation even if the temptation to defect is relatively large; this indicates players are inclined to cooperate under such scenario. All in all, we hope the findings in this manuscript are capable of providing some valuable and interesting insights to solve the social dilemmas. Graphic abstract

Suggested Citation

  • Peican Zhu & Xin Hou & Yangming Guo & Jiwei Xu & Jinzhuo Liu, 2021. "Investigating the effects of updating rules on cooperation by incorporating interactive diversity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(2), pages 1-8, February.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:2:d:10.1140_epjb_s10051-021-00059-1
    DOI: 10.1140/epjb/s10051-021-00059-1
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    as
    1. A. Szolnoki & M. Perc & G. Szabó, 2008. "Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 505-509, February.
    2. Szolnoki, Attila & Danku, Zsuzsa, 2018. "Dynamic-sensitive cooperation in the presence of multiple strategy updating rules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 371-377.
    3. Xuelong Li & Marko Jusup & Zhen Wang & Huijia Li & Lei Shi & Boris Podobnik & H. Eugene Stanley & Shlomo Havlin & Stefano Boccaletti, 2018. "Punishment diminishes the benefits of network reciprocity in social dilemma experiments," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 115(1), pages 30-35, January.
    4. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    5. Szolnoki, Attila & Chen, Xiaojie, 2020. "Strategy dependent learning activity in cyclic dominant systems," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    6. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    7. 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.
    8. Zhu, Peican & Wang, Xiaoyu & Jia, Danyang & Guo, Yangming & Li, Shudong & Chu, Chen, 2020. "Investigating the co-evolution of node reputation and edge-strategy in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    9. Liu, Chen & Guo, Hao & Li, Zhibin & Gao, Xiaoyuan & Li, Shudong, 2019. "Coevolution of multi-game resolves social dilemma in network population," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 402-407.
    10. Takesue, Hirofumi, 2019. "Effects of updating rules on the coevolving prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 399-408.
    11. Benjamin Allen & Gabor Lippner & Yu-Ting Chen & Babak Fotouhi & Naghmeh Momeni & Shing-Tung Yau & Martin A. Nowak, 2017. "Evolutionary dynamics on any population structure," Nature, Nature, vol. 544(7649), pages 227-230, April.
    12. 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.
    13. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2020. "Changeable updating rule promotes cooperation in well-mixed and structured populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    14. Karl Sigmund, 2016. "The Calculus of Selfishness," Economics Books, Princeton University Press, edition 1, number 9241.
    15. Szolnoki, Attila & Chen, Xiaojie, 2020. "Gradual learning supports cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    16. Han, Ying & Song, Zhao & Sun, Jialong & Ma, Jiezhong & Guo, Yangming & Zhu, Peican, 2020. "Investing the effect of age and cooperation in spatial multigame," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    17. Li, Xiaopeng & Sun, Shiwen & Xia, Chengyi, 2019. "Reputation-based adaptive adjustment of link weight among individuals promotes the cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 810-820.
    18. A. Szolnoki & M. Perc, 2009. "Promoting cooperation in social dilemmas via simple coevolutionary rules," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 337-344, February.
    19. 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).
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    Cited by:

    1. Deming Mao & Xiaoyu Li & Dejun Mu & Dujuan Liu & Chen Chu, 2021. "Separated interactive behaviors promote cooperation in the spatial prisoner’s dilemma game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(7), pages 1-9, July.
    2. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2021. "Small fraction of selective cooperators can elevate general wellbeing significantly," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    3. Yu, Fengyuan & Wang, Jianwei & He, Jialu, 2022. "Inequal dependence on members stabilizes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    4. 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.
    5. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    6. Yu, Fengyuan & Wang, Jianwei & Chen, Wei & He, Jialu, 2023. "Increased cooperation potential and risk under suppressed strategy differentiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
    7. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    8. Yu, Fengyuan & Wang, Jianwei & He, Jialu & Xu, Wenshu, 2023. "Friendship transmission and cooperation evolution in highly clustering interactions," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    9. Han, Zhen & Zhu, Peican & Yang, Jinling & Yang, Jie, 2023. "Asymmetric players in Prisons Dilemma Game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    10. de Oliveira, Breno F. & Szolnoki, Attila, 2022. "Competition among alliances of different sizes," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    11. Zhu, Xiaochen, 2023. "The dynamic edge environment under interactive diversity is a double-edged sword," Applied Mathematics and Computation, Elsevier, vol. 436(C).

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