IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v537y2020ics0378437119315481.html
   My bibliography  Save this article

Long deliberation times promote cooperation in the prisoner’s dilemma game

Author

Listed:
  • Wang, Dongqi
  • Shuai, Xuanyue
  • Pan, Qiuhui
  • Li, Jingye
  • Lan, Xiaolong
  • He, Mingfeng

Abstract

Some individuals could be quite cautious when making decisions and do not update their strategy frequently in the prisoner’s dilemma game. That is, instead of updating their strategy immediately after the game, they make decisions only after a certain period of deliberation. Moreover, individuals’ strategy update is based on the cumulative payoffs they got from their prior update. Since individuals in a group could be homogeneous or heterogeneous, their strategy can depend on two aspects: the initial time of the update and the length of its delay time. In this paper, three different cases that may lead to the delay of strategy update are taken into consideration. We find that introducing a deliberation mechanism can promote cooperation, that this effect could be greater when the delay time is extended, and that heterogeneity among individuals also has a positive effect on cooperation.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119315481
    DOI: 10.1016/j.physa.2019.122719
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119315481
    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.2019.122719?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. Szolnoki, Attila & Perc, Matjaž & Danku, Zsuzsa, 2008. "Towards effective payoffs in the prisoner’s dilemma game on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2075-2082.
    2. 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.
    3. Liu, Yuanming & Huang, Changwei & Dai, Qionglin, 2018. "Preferential selection based on strategy persistence and memory promotes cooperation in evolutionary prisoner’s dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 481-489.
    4. Lei Sun & Han-Xin Yang & Shao-Min Chen & Ya-Shan Chen, 2013. "Heterogeneous Aspirations Promote Cooperation In The Public Goods Game," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-7.
    5. Pan, Qiuhui & Shi, Shu & Zhang, Yu & He, Mingfeng, 2013. "Cooperation in spatial prisoner’s dilemma game with delayed decisions," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 166-174.
    6. 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.
    7. Allen, James M. & Hoyle, Rebecca B., 2017. "Asynchronous updates can promote the evolution of cooperation on multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 607-619.
    8. Jacek Miȩkisz & Sergiusz Wesołowski, 2011. "Stochasticity and Time Delays in Evolutionary Games," Dynamic Games and Applications, Springer, vol. 1(3), pages 440-448, September.
    9. Ye, Wenxing & Feng, Weiying & Lü, Chen & Fan, Suohai, 2017. "Memory-based prisoner’s dilemma game with conditional selection on networks," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 31-37.
    10. Li, Yumeng & Zhang, Jun & Perc, Matjaž, 2018. "Effects of compassion on the evolution of cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 437-443.
    11. 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.
    12. Liu, Yongkui & Li, Zhi & Chen, Xiaojie & Wang, Long, 2010. "Memory-based prisoner’s dilemma on square lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(12), pages 2390-2396.
    13. 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.
    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. Kojo, Ken'ichi & Sakiyama, Tomoko, 2024. "Restructuring of neighborhood definition based on strategies will enhance the cooperation in a spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 179(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. Dong, Yukun & Xu, Hedong & Fan, Suohai, 2019. "Memory-based stag hunt game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 247-255.
    2. 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).
    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. Cheng, Fei & Chen, Tong & Chen, Qiao, 2020. "Rewards based on public loyalty program promote cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    5. Deng, Yunsheng & Zhang, Jihui, 2021. "Memory-based prisoner's dilemma game with history optimal strategy learning promotes cooperation on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    6. Xu, Hedong & Fan, Suohai & Tian, Cunzhi & Xiao, Xinrong, 2019. "Evolutionary investor sharing game on networks," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 138-145.
    7. Yunsheng Deng & Jihui Zhang, 2022. "The choice-decision based on memory and payoff favors cooperation in stag hunt game on interdependent networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(2), pages 1-13, February.
    8. Deng, Yunsheng & Zhang, Jihui, 2021. "The role of the preferred neighbor with the expected payoff on cooperation in spatial public goods game under optimal strategy selection mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    9. 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).
    10. Chen, Wei & Wang, Jianwei & Yu, Fengyuan & He, Jialu & Xu, Wenshu & Dai, Wenhui, 2024. "Successful initial positioning of non-cooperative individuals in cooperative populations effectively hinders cooperation prosperity," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    11. Han, Dun & Yan, Shuting & Li, Dandan, 2019. "The evolutionary public goods game model with punishment mechanism in an activity-driven network," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 254-259.
    12. 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.
    13. 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.
    14. You, Feng & Yang, Han-Xin & Li, Yumeng & Du, Wenbo & Wang, Gang, 2023. "A modified Vicsek model based on the evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    15. Zheng, Lei & Li, Youqi & Zhou, Jingsai & Li, Yumeng, 2022. "The effect of celebrity on the evolution of fairness in the ultimatum game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    16. Chen, Wei & Wang, Jianwei & Yu, Fengyuan & He, Jialu & Xu, Wenshu & Wang, Rong, 2021. "Effects of emotion on the evolution of cooperation in a spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    17. Yang, Han-Xin & Yang, Jing, 2019. "Reputation-based investment strategy promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 886-893.
    18. Ji, Jiezhou & Pan, Qiuhui & Zhu, Wenqiang & He, Mingfeng, 2023. "The influence of own historical information and environmental historical information on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    19. Li, Minlan & Liu, Yan-Ping & Han, Yanyan & Wang, Rui-Wu, 2022. "Environmental heterogeneity unifies the effect of spatial structure on the altruistic cooperation in game-theory paradigms," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    20. Jia, Chun-Xiao & Liu, Run-Ran, 2022. "A moderate self-interest preference promotes cooperation in spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(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:537:y:2020:i:c:s0378437119315481. 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.