IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i17p3640-3647.html
   My bibliography  Save this article

Cautious strategy update promotes cooperation in spatial prisoner’s dilemma game

Author

Listed:
  • Liu, Yongkui
  • Zhang, Lin
  • Chen, Xiaojie
  • Ren, Lei
  • Wang, Long

Abstract

In the realistic world, individual cautiousness can be often involved or observed when a rational individual makes a decision. However, it remains unclear how such individual cautiousness influences the evolution of cooperative behavior. To this end, we consider a Fermi strategy updating rule, where each individual is assigned a cautiousness index that controls its learning activity, and then study the evolution of cooperation in the spatial prisoner’s dilemma game. Interestingly, it is found that cooperation can be significantly promoted when individuals’ cautiousness is considered. In particular, there exists an optimal range of the degree of cautiousness resulting in the highest cooperation level. The remarkable promotion of cooperation, as well as the emerging phase transition is explained by configurational analysis. The sensitivity of cooperation to initial states with different fractions of cooperators is also discussed. The result illustrates that high densities of cooperators can be established at small initial fractions of cooperators. The detailed mechanism for such phenomenon is explained by analyzing the typical initial configurations.

Suggested Citation

  • Liu, Yongkui & Zhang, Lin & Chen, Xiaojie & Ren, Lei & Wang, Long, 2013. "Cautious strategy update promotes cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3640-3647.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:17:p:3640-3647
    DOI: 10.1016/j.physa.2013.04.031
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113003440
    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.2013.04.031?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.

    Citations

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


    Cited by:

    1. 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).
    2. Wang, Dongqi & Shuai, Xuanyue & Pan, Qiuhui & Li, Jingye & Lan, Xiaolong & He, Mingfeng, 2020. "Long deliberation times promote cooperation in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    3. Wu, Jianshe & Hou, Yanqiao & Jiao, Licheng & Li, Huijie, 2014. "Community structure inhibits cooperation in the spatial prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 169-179.
    4. Li, Ya & Lan, Xin & Deng, Xinyang & Sadiq, Rehan & Deng, Yong, 2014. "Comprehensive consideration of strategy updating promotes cooperation in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 284-292.
    5. Wang, Mengyao & Pan, Qiuhui & He, Mingfeng, 2020. "Individuals with the firm heart are conducive to cooperation in social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    6. Peiyan Yuan & Xiaoxiao Pang & Ping Liu & En Zhang, 2019. "FollowMe: One Social Importance-Based Collaborative Scheme in MONs," Future Internet, MDPI, vol. 11(4), pages 1-11, April.

    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:392:y:2013:i:17:p:3640-3647. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.