IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v192y2025ics096007792500058x.html
   My bibliography  Save this article

Memory-based prisoner’s dilemma game with payoff-driven preferential selection

Author

Listed:
  • Ye, Wenxing
  • Wen, Luliang
  • Fan, Suohai

Abstract

We investigated the memory-based prisoner’s dilemma game with preferential selection on square lattice. Under the proposed selection mechanism, individuals may not randomly choose a neighbor when they imitate. Instead, each individual evaluates the recent performance by average payoff in memory length and tends to select neighbors by the pairwise difference of the average payoffs. Moreover, a factor for scaling the payoff difference is introduced to strengthen the influence of attractiveness. The simulation results reveal that cooperation benefits from small memory length while defection is enhanced by large memory length. We find that short memory length stimulates identification of cooperators that tend to gain more payoff in the short term, thereby enhancing the cooperative behavior through the proposed selection mechanism. The average payoff and strategy distribution in the spatial game are given to show the effect of the proposed selection mechanism. The modified model provides a perspective to enrich the understanding of cooperative behavior in social systems.

Suggested Citation

  • Ye, Wenxing & Wen, Luliang & Fan, Suohai, 2025. "Memory-based prisoner’s dilemma game with payoff-driven preferential selection," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s096007792500058x
    DOI: 10.1016/j.chaos.2025.116045
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792500058X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116045?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 & Li, Min & Liu, Xingwen, 2019. "Memory mechanism with weighting promotes cooperation in the evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 17-24.
    2. 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.
    3. Du, Wen-Bo & Cao, Xian-Bin & Zhao, Lin & Hu, Mao-Bin, 2009. "Evolutionary games on scale-free networks with a preferential selection mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4509-4514.
    4. Geng, Yini & Shen, Chen & Guo, Hao & Chu, Chen & Yu, Dalei & Shi, Lei, 2017. "Historical payoff promotes cooperation in voluntary prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 145-149.
    5. Lin, Ying-Ting & Yang, Han-Xin & Wu, Zhi-Xi & Wang, Bing-Hong, 2011. "Promotion of cooperation by aspiration-induced migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(1), pages 77-82.
    6. 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.
    7. Bingzhuang Qiang & Lan Zhang & Changwei Huang, 2023. "Towards preferential selection in the prisoner’s dilemma game," PLOS ONE, Public Library of Science, vol. 18(2), pages 1-12, February.
    8. 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.
    9. Ye, Tianbo & Li, Pengcheng & Fan, Suohai, 2024. "Preferential selection based on aspiration and memory in spatial evolutionary prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 647(C).
    10. Deng, Zhenghong & Wang, Shengnan & Gu, Zhiyang & Xu, Juwei & Song, Qun, 2017. "Heterogeneous preference selection promotes cooperation in spatial prisoners’ dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 20-23.
    11. Szolnoki, Attila & Chen, Xiaojie, 2020. "Blocking defector invasion by focusing on the most successful partner," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    12. Huang, Chaochao & Wang, Chaoqian, 2024. "Memory-based involution dilemma on square lattices," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    13. Robert Sugden, 2005. "The Economics of Rights, Co-operation and Welfare," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-53679-1, August.
    14. Basu, Kaushik, 1994. "The Traveler's Dilemma: Paradoxes of Rationality in Game Theory," American Economic Review, American Economic Association, vol. 84(2), pages 391-395, May.
    15. 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.
    16. Markus Brede, 2013. "Short Versus Long Term Benefits and the Evolution of Cooperation in the Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-9, February.
    17. Bai, Pengzhou & Qiang, Bingzhuang & Zou, Kuan & Huang, Changwei, 2024. "Preferential selection based on adaptive attractiveness induce by reinforcement learning promotes cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    18. Jeromos Vukov & Flávio L Pinheiro & Francisco C Santos & Jorge M Pacheco, 2013. "Reward from Punishment Does Not Emerge at All Costs," PLOS Computational Biology, Public Library of Science, vol. 9(1), pages 1-6, January.
    19. Guo, Hao & Chu, Chen & Shen, Chen & Shi, Lei, 2018. "Reputation-based coevolution of link weights promotes cooperation in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 265-268.
    20. 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.
    21. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.
    22. Duan, Yuxian & Huang, Jian & Zhang, Jiarui, 2023. "Evolutionary public good games based on the long-term payoff mechanism in heterogeneous networks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    23. 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.
    24. Ye, Wenxing & Fan, Suohai, 2017. "Evolutionary snowdrift game with rational selection based on radical evaluation," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 310-317.
    25. Han, Xu & Xia, Haoxiang & Zhao, Xiaowei, 2024. "Memory–based adaptive interaction willingness enhances cooperation in spatial prisoner's dilemma," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    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. Xie, Kai & Szolnoki, Attila, 2025. "Reputation in public goods cooperation under double Q-learning protocol," Chaos, Solitons & Fractals, Elsevier, vol. 196(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. 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.
    2. 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.
    3. 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).
    4. Ping Zhu & Guiyi Wei, 2014. "Stochastic Heterogeneous Interaction Promotes Cooperation in Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-10, April.
    5. 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).
    6. Zhang, Xinran & Zhang, Qianwei & Liu, Jiaqi, 2025. "The selective imitation based on influence mechanism in evolutionary dynamics of the Prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 661(C).
    7. Luo, Yijun & Huang, Changwei & Han, Wenchen, 2024. "The evolution of cooperation and global synchronization in the evolutionary Kuramoto dilemma combined with the prisoner's dilemma," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    8. 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.
    9. Lu, Shounan & Zhu, Ge & Zhang, Lianzhong, 2023. "Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    10. Perc, Matjaž & Grigolini, Paolo, 2013. "Collective behavior and evolutionary games – An introduction," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 1-5.
    11. Kohei Miyaji & Jun Tanimoto & Zhen Wang & Aya Hagishima & Naoki Ikegaya, 2013. "Direct Reciprocity in Spatial Populations Enhances R -Reciprocity As Well As ST -Reciprocity," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-8, August.
    12. 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).
    13. Zhang, Jing & Li, Zhao & Zhang, Jiqiang & Ma, Lin & Zheng, Guozhong & Chen, Li, 2023. "Emergence of oscillatory cooperation in a population with incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    14. Xie, Kai & Liu, Xingwen & Wang, Huazhang & Jiang, Yulian, 2023. "Multi-heterogeneity public goods evolutionary game on lattice," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    15. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.
    16. Xie, Kai & Szolnoki, Attila, 2025. "Reputation in public goods cooperation under double Q-learning protocol," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    17. Shang, Lihui & Sun, Sihao & Ai, Jun & Su, Zhan, 2022. "Cooperation enhanced by the interaction diversity for the spatial public goods game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    18. Shu, Feng & Li, Min & Liu, Xingwen, 2019. "Memory mechanism with weighting promotes cooperation in the evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 17-24.
    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. Te Wu & Feng Fu & Long Wang, 2011. "Moving Away from Nasty Encounters Enhances Cooperation in Ecological Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-7, November.

    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:chsofr:v:192:y:2025:i:c:s096007792500058x. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.