IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v572y2021ics0378437121001825.html
   My bibliography  Save this article

Unfixed-neighbor-mechanism promotes cooperation in evolutionary snowdrift game on lattice

Author

Listed:
  • Hu, Xiang
  • Liu, Xingwen

Abstract

Addressed in this paper is the issue of how to promote cooperation among selfish individuals by changing the number of interactive neighbors in the evolutionary snowdrift game on a square lattice. Quite a few mechanisms that promoted cooperation in evolutionary games have been reported. It was usually assumed in past literature that each player had fixed neighbors to interact. However, such an assumption is inconsistent with most actual situations in society since the neighbors of each individual are not fixed in real life. Therefore, this paper takes into account a relatively realistic situation where each player has own potential neighbors and, in each round, has interactive neighbors randomly selected from potential neighbors. That is, for each player, its interactive neighbors in any round may be different from those in the next round. So interactive neighbors of each individual are unfixed. The results of Monte Carlo simulations reveal that compared with traditional fixed-neighbor-mechanism (FNM), the unfixed-neighbor-mechanism (UFNM) can lead to a higher level of cooperation in a larger range for both of the Fermi update and proportional update. In general, due to introducing the UFNM in snowdrift game, the number of interactive neighbors may be less than fixed neighbors in whole evolutionary process and thus the game cost is reduced. Therefore this modified mechanism has potential role in social management.

Suggested Citation

  • Hu, Xiang & Liu, Xingwen, 2021. "Unfixed-neighbor-mechanism promotes cooperation in evolutionary snowdrift game on lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
  • Handle: RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001825
    DOI: 10.1016/j.physa.2021.125910
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121001825
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2021.125910?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Shu, Feng & Liu, Xingwen & Fang, Kai & Chen, Hao, 2018. "Memory-based snowdrift game on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 15-26.
    2. Ming-Jian Fu & Han-Xin Yang, 2018. "Stochastic win-stay-lose-learn promotes cooperation in the spatial public goods game," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-8, April.
    3. Du, Wen-Bo & Cao, Xian-Bin & Hu, Mao-Bin & Yang, Han-Xin & Zhou, Hong, 2009. "Effects of expectation and noise on evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2215-2220.
    4. Su, Qi & Li, Aming & Wang, Long, 2017. "Spatial structure favors cooperative behavior in the snowdrift game with multiple interactive dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 299-306.
    5. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, April.
    6. Ren, Guangming & Wang, Xingyuan, 2014. "Robustness of cooperation in memory-based prisoner’s dilemma game on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 40-46.
    7. repec:hhs:iuiwop:487 is not listed on IDEAS
    8. Iwata, Manabu & Akiyama, Eizo, 2016. "Heterogeneity of link weight and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 224-234.
    9. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    10. Deng, Xinyang & Zhang, Zhipeng & Deng, Yong & Liu, Qi & Chang, Shuhua, 2016. "Self-adaptive win-stay-lose-shift reference selection mechanism promotes cooperation on a square lattice," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 322-331.
    11. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    12. 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.
    13. Xu, Meng & Zheng, Da-Fang & Xu, C. & Hui, P.M., 2017. "Three-strategy N-person snowdrift game incorporating loners," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 454-461.
    14. Yongkui Liu & Xiaojie Chen & Lin Zhang & Long Wang & Matjaž Perc, 2012. "Win-Stay-Lose-Learn Promotes Cooperation in the Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-8, February.
    15. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hu, Xiang & Liu, Xingwen & Zhou, Xiaobing, 2022. "A proportional-neighborhood-diversity evolution in snowdrift game on square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    2. Ke, Jianhong & Li, Ping-Ping & Lin, Zhenquan, 2022. "Dissatisfaction-driven replicator dynamics of the evolutionary snowdrift game in structured populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Wu, Yu’e & Zhang, Zhipeng & Yang, Guoli & Liu, Haixin & Zhang, Qingfeng, 2022. "Evolution of cooperation driven by diversity on a double-layer square lattice," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    4. Zhang, Lulu & Pan, Qiuhui & He, Mingfeng, 2022. "The influence of donation behavior on the evolution of cooperation in social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Lu, Shounan & Dai, Jianhua & Zhu, Ge & Guo, Li, 2023. "Investigating the effectiveness of interaction-efficiency-driven strategy updating under progressive-interaction for the evolution of the prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    6. Lu, Shounan & Zhu, Ge & Dai, Jianhua, 2023. "Promoting effect of adaptive interaction based on random neighbors to cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    7. Huang, Chaochao & Wang, Chaoqian, 2024. "Memory-based involution dilemma on square lattices," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    8. Xu, Yan & Feng, Meiling & Zhu, Yuying & Xia, Chengyi, 2022. "Multi-player snowdrift game on scale-free simplicial complexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    9. Pi, Jinxiu & Wang, Chun & Zhou, Die & Tang, Wei & Yang, Guanghui, 2024. "Evolutionary dynamics of N-person snowdrift game with two thresholds in well-mixed and structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    10. Xie, Yunya & Bai, Yu & Zhang, Yankun & Peng, Zhengyin, 2024. "Trust-induced cooperation under the complex interaction of networks and emotions," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shu, Feng, 2020. "A win-switch-lose-stay strategy promotes cooperation in the evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    2. Hu, Xiang & Liu, Xingwen & Zhou, Xiaobing, 2022. "A proportional-neighborhood-diversity evolution in snowdrift game on square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Shu, Feng & Liu, Yaojun & Liu, Xingwen & Zhou, Xiaobing, 2019. "Memory-based conformity enhances cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 480-490.
    4. Huang, Chaochao & Wang, Chaoqian, 2024. "Memory-based involution dilemma on square lattices," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    5. Huang, Yongchao & Wan, Siyi & Zheng, Junjun & Liu, Wenyi, 2023. "Evolution of cooperation in spatial public goods game with interactive diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
    6. Lv, Shaojie & Wang, Xianjia, 2020. "The impact of heterogeneous investments on the evolution of cooperation in public goods game with exclusion," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    7. Jin, Jiahua & Shen, Chen & Chu, Chen & Shi, Lei, 2017. "Incorporating dominant environment into individual fitness promotes cooperation in the spatial prisoners' dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 70-75.
    8. Zha, Jiajing & Li, Cong & Fan, Suohai, 2022. "The effect of stability-based strategy updating on cooperation in evolutionary social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    9. Rong-Hua Li & Jeffrey Xu Yu & Jiyuan Lin, 2013. "Evolution of Cooperation in Spatial Traveler's Dilemma Game," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-11, March.
    10. Wang, Zhen & Chen, Tong & Wang, Yongjie, 2017. "Leadership by example promotes the emergence of cooperation in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 101(C), pages 100-105.
    11. Zhu, Jiabao & Liu, Xingwen, 2021. "The number of strategy changes can be used to promote cooperation in spatial snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    12. Hong, Lijun & Geng, Yini & Du, Chunpeng & Shen, Chen & Shi, Lei, 2021. "Average payoff-driven or imitation? A new evidence from evolutionary game theory in finite populations," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    13. Chen, Qiao & Chen, Tong & Wang, Yongjie, 2019. "Cleverly handling the donation information can promote cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 363-373.
    14. Yanlong Zhang, 2015. "Partially and Wholly Overlapping Networks: The Evolutionary Dynamics of Social Dilemmas on Social Networks," Computational Economics, Springer;Society for Computational Economics, vol. 46(1), pages 1-14, June.
    15. Li, Pei & Duan, Haibin, 2015. "Evolution of cooperation driven by incremental learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 14-22.
    16. Kokubo, Satoshi & Wang, Zhen & Tanimoto, Jun, 2015. "Spatial reciprocity for discrete, continuous and mixed strategy setups," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 552-568.
    17. Hu, Kaipeng & Guo, Hao & Geng, Yini & Shi, Lei, 2019. "The effect of conformity on the evolution of cooperation in multigame," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 267-272.
    18. Zhang, Lan & Xie, Yuan & Huang, Changwei & Li, Haihong & Dai, Qionglin, 2020. "Heterogeneous investments induced by historical payoffs promote cooperation in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    19. Zu, Jinjing & Xu, Fanxin & Jin, Tao & Xiang, Wei, 2022. "Reward and Punishment Mechanism with weighting enhances cooperation in evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    20. Liang, Rizhou & Zhang, Jiqiang & Zheng, Guozhong & Chen, Li, 2021. "Social hierarchy promotes the cooperation prevalence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:572:y:2021:i:c:s0378437121001825. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.