IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v621y2023ics0378437123003497.html
   My bibliography  Save this article

Evolution of cooperation in spatial public goods game with interactive diversity

Author

Listed:
  • Huang, Yongchao
  • Wan, Siyi
  • Zheng, Junjun
  • Liu, Wenyi

Abstract

In real society, individuals may treat their neighbors differently and independently make investment decisions among different projects. In this study, the selective cooperator, who only invests in the cooperative organizers as part of the cooperation strategy is introduced to investigate the impact of interactive diversity on the evolution of cooperation in spatial public goods game from two different investment modes, namely fixed cost per player (FCP) and fixed cost per game (FCG). The fraction of selective cooperators among cooperators is represented by an adjustable parameter α. The simulation results show that a higher value of α is more beneficial for the survival of cooperators. Particularly, because of the existence of both the inter-individual heterogeneity and intra-individual heterogeneity in FCG mode, the positive role of selective cooperators in FCG is more significant than in FCP mode. When selective cooperators are introduced as the third strategy, we observe that the traditional cooperators always die out first, and the stable state only depends on the interaction between the defectors and selective cooperators, same as α=1 when there are only two strategies. Our findings reveal that only focusing on the neighbor’s strategy can promote the emergence and maintenance of cooperative behaviors. We hope this work can provide a deeper understanding on how cooperation emerges.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:621:y:2023:i:c:s0378437123003497
    DOI: 10.1016/j.physa.2023.128794
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123003497
    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.2023.128794?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. Hartig, Björn & Irlenbusch, Bernd & Kölle, Felix, 2015. "Conditioning on what? Heterogeneous contributions and conditional cooperation," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 55(C), pages 48-64.
    2. Cao, Xian-Bin & Du, Wen-Bo & Rong, Zhi-Hai, 2010. "The evolutionary public goods game on scale-free networks with heterogeneous investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1273-1280.
    3. Paul Kelly, 2014. "What to do when we run out of water," Nature Climate Change, Nature, vol. 4(5), pages 314-316, May.
    4. Fischbacher, Urs & Gachter, Simon & Fehr, Ernst, 2001. "Are people conditionally cooperative? Evidence from a public goods experiment," Economics Letters, Elsevier, vol. 71(3), pages 397-404, June.
    5. 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.
    6. Zhang, Boyu & An, Xinmiao & Dong, Yali, 2021. "Conditional cooperator enhances institutional punishment in public goods game," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    7. Szolnoki, Attila & Chen, Xiaojie, 2020. "Blocking defector invasion by focusing on the most successful partner," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    8. 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.
    9. Shuhua Chang & Zhipeng Zhang & Yu Li & Yu E Wu & Yunya Xie, 2018. "Investment preference promotes cooperation in spatial public goods game," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-14, November.
    10. Gao, Jia & Li, Zhi & Wu, Te & Wang, Long, 2010. "Diversity of contribution promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3166-3171.
    11. 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.
    12. 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.
    13. Hermes, Henning & Hett, Florian & Mechtel, Mario & Schmidt, Felix & Schunk, Daniel & Wagner, Valentin, 2020. "Do children cooperate conditionally? Adapting the strategy method for first-graders," Journal of Economic Behavior & Organization, Elsevier, vol. 179(C), pages 638-652.
    14. Wang, Xuwen & Zhang, Haifeng & Nie, Sen & Wang, Binghong, 2013. "Evolution of public cooperation with weighted and conditional strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4668-4674.
    15. Hong Ding & Lin Cao & Yizhi Ren & Kim-Kwang Raymond Choo & Benyun Shi, 2016. "Reputation-Based Investment Helps to Optimize Group Behaviors in Spatial Lattice Networks," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-17, September.
    16. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2021. "Small fraction of selective cooperators can elevate general wellbeing significantly," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    17. Katharina Schüller & Kateřina Staňková & Frank Thuijsman, 2017. "Game Theory of Pollution: National Policies and Their International Effects," Games, MDPI, vol. 8(3), pages 1-15, July.
    18. 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.
    19. 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).
    20. Tu, Jing, 2018. "Contribution inequality in the spatial public goods game: Should the rich contribute more?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 9-14.
    21. 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.
    22. Wang, Qiang & He, Nanrong & Chen, Xiaojie, 2018. "Replicator dynamics for public goods game with resource allocation in large populations," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 162-170.
    23. Quan, Ji & Tang, Caixia & Wang, Xianjia, 2021. "Reputation-based discount effect in imitation on the evolution of cooperation in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    24. Ren, Tianyu & Zheng, Junjun, 2021. "Evolutionary dynamics in the spatial public goods game with tolerance-based expulsion and cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    25. Zheng, Junjun & Ren, Tianyu & Ma, Gang & Dong, Jinhui, 2021. "The emergence and implementation of pool exclusion in spatial public goods game with heterogeneous ability-to-pay," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    26. Zhang, Haifeng & Shi, Dongmei & Liu, Runran & Wang, Binghong, 2012. "Dynamic allocation of investments promotes cooperation in spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2617-2622.
    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. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(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. 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).
    2. Ma, Xiaojian & Quan, Ji & Wang, Xianjia, 2021. "Effect of reputation-based heterogeneous investment on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Xie, Kai & Liu, Xingwen & Wang, Huazhang & Jiang, Yulian, 2023. "Multi-heterogeneity public goods evolutionary game on lattice," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    5. Pan, Jianchen & Zhang, Lan & Han, Wenchen & Huang, Changwei, 2023. "Heterogeneous investment promotes cooperation in spatial public goods game on hypergraphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    6. Quan, Ji & Tang, Caixia & Zhou, Yawen & Wang, Xianjia & Yang, Jian-Bo, 2020. "Reputation evaluation with tolerance and reputation-dependent imitation on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    7. 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).
    8. 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).
    9. Wang, Mie & Kang, HongWei & Shen, Yong & Sun, XingPing & Chen, QingYi, 2021. "The role of alliance cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    10. Zhenghong Wu & Huan Huang & Qinghu Liao, 2021. "The study on the role of dedicators on promoting cooperation in public goods game," PLOS ONE, Public Library of Science, vol. 16(9), pages 1-17, September.
    11. Huang, Yongchao & Ren, Tianyu & Zheng, Junjun & Liu, Wenyi & Zhang, Mengshu, 2023. "Evolution of cooperation in public goods games with dynamic resource allocation: A fairness preference perspective," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    12. 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).
    13. Wang, Chaoqian & Szolnoki, Attila, 2022. "Involution game with spatio-temporal heterogeneity of social resources," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    14. Zheng, Junjun & He, Yujie & Ren, Tianyu & Huang, Yongchao, 2022. "Evolution of cooperation in public goods games with segregated networks and periodic invasion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    15. 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.
    16. Schauf, Andrew & Oh, Poong, 2021. "Adaptation strategies and collective dynamics of extraction in networked commons of bistable resources," SocArXiv wmtqk, Center for Open Science.
    17. Li, Cong & Xu, Hedong & Fan, Suohai, 2020. "Synergistic effects of self-optimization and imitation rules on the evolution of cooperation in the investor sharing game," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    18. Quan, Ji & Tang, Caixia & Wang, Xianjia, 2021. "Reputation-based discount effect in imitation on the evolution of cooperation in spatial public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    19. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2021. "Small fraction of selective cooperators can elevate general wellbeing significantly," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    20. 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.

    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:621:y:2023:i:c:s0378437123003497. 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.