IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v541y2020ics0378437119318333.html
   My bibliography  Save this article

Investing the effect of age and cooperation in spatial multigame

Author

Listed:
  • Han, Ying
  • Song, Zhao
  • Sun, Jialong
  • Ma, Jiezhong
  • Guo, Yangming
  • Zhu, Peican

Abstract

In practice, cooperation is widely observed in various systems, including social and biological ones;nevertheless, it seems to be apparently in conflict with the natural selection Recently, spatial multi-games are investigated by numerous scholars aiming to ensure the benefits of cooperative behaviors. Hence in this manuscript, a multi-game consisting of the prisoner’s (PD) game and snow drift (SD) game, is mainly considered. Here, the aging property is incorporated aiming to evaluate the effect of age on cooperation in the investigated spatial multi-game . Numerous simulations are then performed with corresponding results being provided. We find that frequencies of cooperation can be improved by a large extent with the incorporation of the evolutionary mechanism introduced in this manuscript. Finally, we also find an interesting phenomenon, i.e., when the threshold θ=5 and θ=60, the individuals’ age in the system seems to obey uniform distribution. Whereas for θ=20 and θ=40, corresponding distribution seems to follow power law distribution. Eventually, we hope that our founding in this manuscript can shed some lights on resolving the social dilemmas.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:phsmap:v:541:y:2020:i:c:s0378437119318333
    DOI: 10.1016/j.physa.2019.123269
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119318333
    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.2019.123269?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. 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.
    2. Guo, Hao & Shen, Chen & Dai, Dameng & Zhang, Mi & Chu, Chen & Shi, Lei, 2017. "Environment promotes the evolution of cooperation in spatial voluntary prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 47-53.
    3. Jonathan E Bone & Brian Wallace & Redouan Bshary & Nichola J Raihani, 2016. "Power Asymmetries and Punishment in a Prisoner’s Dilemma with Variable Cooperative Investment," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-16, May.
    4. F. Fu & L.-H. Liu & L. Wang, 2007. "Evolutionary Prisoner's Dilemma on heterogeneous Newman-Watts small-world network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(4), pages 367-372, April.
    5. 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.
    6. Xu, Jiwei & Deng, Zhenghong & Gao, Bo & Song, Qun & Tian, Zhihong & Wang, Qiuling & Gao, Mingyu & Niu, Zhenxi, 2019. "Popularity-driven strategy updating rule promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 82-87.
    7. Tanimoto, Jun, 2017. "How does resolution of strategy affect network reciprocity in spatial prisoner's dilemma games?," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 36-42.
    8. C.-L. Tang & W.-X. Wang & X. Wu & B.-H. Wang, 2006. "Effects of average degree on cooperation in networked evolutionary game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 53(3), pages 411-415, October.
    9. 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.
    10. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Li-Gao,, 2018. "Multigames with social punishment and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 164-170.
    11. Christian Hilbe & Štěpán Šimsa & Krishnendu Chatterjee & Martin A. Nowak, 2018. "Evolution of cooperation in stochastic games," Nature, Nature, vol. 559(7713), pages 246-249, July.
    12. Hisashi Ohtsuki & Yoh Iwasa & Martin A. Nowak, 2009. "Indirect reciprocity provides only a narrow margin of efficiency for costly punishment," Nature, Nature, vol. 457(7225), pages 79-82, January.
    13. 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.
    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. Liu, Yujie & Li, Zemin & Jin, Xing & Tao, Yuchen & Ding, Hong & Wang, Zhen, 2022. "The effect of perceptions competition and learning costs on cooperation in spatial evolutionary multigames," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. 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.
    3. Wu, Yu’e & Zhang, Zhipeng & Wang, Xinyu & Yan, Ming & Zhang, Qingfeng & Zhang, Shuhua, 2021. "Evolution of cooperation in the multigame on a two-layer square network," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    4. 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.

    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. Huang, Yi Jie & Deng, Zheng Hong & Song, Qun & Wu, Tao & Deng, Zhi Long & Gao, Ming yu, 2019. "The evolution of cooperation in multi-games with aspiration-driven updating rule," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 313-317.
    2. Liu, Yujie & Li, Zemin & Jin, Xing & Tao, Yuchen & Ding, Hong & Wang, Zhen, 2022. "The effect of perceptions competition and learning costs on cooperation in spatial evolutionary multigames," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Li, Zhibin & Jia, Danyang & Guo, Hao & Geng, Yini & Shen, Chen & Wang, Zhen & Li, Xuelong, 2019. "The effect of multigame on cooperation in spatial network," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 162-167.
    4. Zhang, Xin-Jie & Tang, Yong & Xiong, Jason & Wang, Wei-Jia & Zhang, Yi-Cheng, 2020. "Ranking game on networks: The evolution of hierarchical society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    5. Wang, Zi-Ren & Deng, Zheng-Hong & Wang, Huan-Bo & Li, HuXiong & X, Fei-Wang, 2022. "Uneven Resources network promotes cooperation in the prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    6. Guan, Junbiao & Wang, Kaihua, 2020. "Cooperative evolution in pedestrian room evacuation considering different individual behaviors," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    7. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Liu, Dan & Gao, Li, 2018. "Multigames with voluntary participation on interdependent networks and the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 151-157.
    8. Wang, Qiuling & Ren, Xiaobin & Gao, Bo & Wang, Jiaqian, 2020. "Heterogeneity reproductive ability promotes cooperation in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    9. 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.
    10. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    11. Wang, Qiuling & Meng, Haoran & Gao, Bo, 2019. "Spontaneous punishment promotes cooperation in public good game," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 183-187.
    12. Liu, Chengwei & Wang, Juan & Li, Xiaopeng & Xia, Chengyi, 2020. "The link weight adjustment considering historical strategy promotes the cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    13. Xu, Jiwei & Deng, Zhenghong & Gao, Bo & Song, Qun & Tian, Zhihong & Wang, Qiuling & Gao, Mingyu & Niu, Zhenxi, 2019. "Popularity-driven strategy updating rule promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 82-87.
    14. Wang, Zi-Ren & Deng, Zheng-Hong & Wang, Huan-Bo & Qu, Yun, 2021. "Moderate irrational sentiment-driven fitness can promote cooperation in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    15. Zhang, Hui & Wang, Li & Hou, Dongshuang, 2016. "Effect of the spatial autocorrelation of empty sites on the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 296-308.
    16. 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.
    17. Han, Jia-Xu & Wang, Rui-Wu, 2023. "Complex interactions promote the frequency of cooperation in snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    18. Chen, Qin & Pan, Qiuhui & He, Mingfeng, 2022. "The influence of quasi-cooperative strategy on social dilemma evolution," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    19. 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.
    20. 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.

    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:541:y:2020:i:c:s0378437119318333. 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.