IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v109y2018icp41-46.html
   My bibliography  Save this article

The evolution of cooperation in spatial multigame with voluntary participation

Author

Listed:
  • Deng, Zhenghong
  • Huang, Yijie
  • Gu, Zhiyang
  • Deng, Zhilong
  • Xu, Jiwei

Abstract

In the real life, we often simultaneously encounter various social dilemmas, which are also inclined to be voluntarily participated in, instead of previous assumption's compulsory participation in. Accounting on this realistic scenario, we have introduced the mechanism that the individuals have access to different payoff matrices corresponding to different social dilemmas to participate in the multigame with three strategies to choose, including cooperation, defection, going it alone. Furthermore, we set a proportion ψ/2 of the population to play the Prisoner's Dilemma, a proportion ψ/2 of the population to play Snowdrift and a proportion 1−ψ of the population to play the weak Prisoner's Dilemma, which results in the fact that the mean payoff matrix returns to the basic weak PD. Though numerical simulations, we find that for the smaller temptation to defect, the cooperation can be enhanced by the diversity of the sucker's payoff in the multigame contrast to the basic case. In addition, when the contribution of sucker's payoff is larger or more players choose to play the Prisoner's Dilemma and Snowdrift, the cooperators become more dominated.

Suggested Citation

  • Deng, Zhenghong & Huang, Yijie & Gu, Zhiyang & Deng, Zhilong & Xu, Jiwei, 2018. "The evolution of cooperation in spatial multigame with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 41-46.
    • Handle: RePEc:eee:chsofr:v:109:y:2018:i:c:p:41-46
    DOI: 10.1016/j.chaos.2018.02.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918300584
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.02.013?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. 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.
    2. Zhang, Gui-Qing & Hu, Tao-Ping & Yu, Zi, 2016. "An improved fitness evaluation mechanism with noise in prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 31-36.
    3. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    4. Neil Johnson & Thomas Lux, 2011. "Ecology and economics," Nature, Nature, vol. 469(7330), pages 302-303, January.
    5. Wang, Xu-Wen & Wang, Zhen & Nie, Sen & Jiang, Luo-Luo & Wang, Bing-Hong, 2015. "Impact of keeping silence on spatial reciprocity in spatial games," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 848-853.
    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. Lei, Chuang & Wu, Te & Jia, Jian-Yuan & Cong, Rui & Wang, Long, 2010. "Heterogeneity of allocation promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4708-4714.
    8. Wes Maciejewski & Feng Fu & Christoph Hauert, 2014. "Evolutionary Game Dynamics in Populations with Heterogenous Structures," PLOS Computational Biology, Public Library of Science, vol. 10(4), pages 1-16, April.
    9. 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.
    10. Shi, Yong-Dong & Zhong, Li-Xin & Xu, Wen-Juan, 2013. "Effects of group sensitivity on cooperation in N-person snowdrift game with dynamic grouping," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 132-138.
    11. 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.
    12. Huang, Keke & Zheng, Xiaoping & Su, Yunpeng, 2015. "Effect of heterogeneous sub-populations on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 681-687.
    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. 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. He, Jialu & Cui, Lei, 2024. "The persistence-based game transition resolves the social dilemma," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    3. 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.
    4. Zhang, Jun & Hu, Bin & Huang, Yi Jie & Deng, Zheng Hong & Wu, Tao, 2020. "The evolution of cooperation affected by aspiration-driven updating rule in multi-games with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. Sun, Chengbin & Luo, Chao & Li, Junqiu, 2020. "Aspiration-based co-evolution of cooperation with resource allocation on interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 135(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. 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.
    2. 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.
    3. 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.
    4. Huang, Keke & Liu, Yishun & Zhang, Yichi & Yang, Chunhua & Wang, Zhen, 2018. "Understanding cooperative behavior of agents with heterogeneous perceptions in dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 234-240.
    5. Yu, Fengyuan & Wang, Jianwei & Chen, Wei & He, Jialu, 2023. "Increased cooperation potential and risk under suppressed strategy differentiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
    6. 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).
    7. Xu, Hedong & Tian, Cunzhi & Xiao, Xinrong & Fan, Suohai, 2018. "Evolutionary investors’ power-based game on networks," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 125-133.
    8. Fan, Ruguo & Zhang, Yingqing & Luo, Ming & Zhang, Hongjuan, 2017. "Promotion of cooperation induced by heterogeneity of both investment and payoff allocation in spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 454-463.
    9. Bin Wu & Lei Zhou, 2018. "Individualised aspiration dynamics: Calculation by proofs," PLOS Computational Biology, Public Library of Science, vol. 14(9), pages 1-15, September.
    10. Wang, Hanchen & Sun, Yichun & Zheng, Lei & Du, Wenbo & Li, Yumeng, 2018. "The public goods game on scale-free networks with heterogeneous investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 396-404.
    11. Yu, Fengyuan & Wang, Jianwei & He, Jialu & Xu, Wenshu, 2023. "Friendship transmission and cooperation evolution in highly clustering interactions," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    12. 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.
    13. Zhang, Jun & Hu, Bin & Huang, Yi Jie & Deng, Zheng Hong & Wu, Tao, 2020. "The evolution of cooperation affected by aspiration-driven updating rule in multi-games with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    14. Jorge Peña & Yannick Rochat, 2012. "Bipartite Graphs as Models of Population Structures in Evolutionary Multiplayer Games," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
    15. Jin, Jiahua & Shen, Chen & Chu, Chen & Shi, Lei, 2017. "Incorporating dominant environment into individual fitness promotes cooperation in the spatial prisoners' dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 70-75.
    16. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Liu, Dan & Gao, Li, 2018. "Multi-games on interdependent networks and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 83-90.
    17. 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).
    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. Qian, Jia-Li & Zhou, Yin-Xiang & Hao, Qing-Yi, 2024. "The emergence of cooperative behavior based on random payoff and heterogeneity of concerning social image," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    20. Li, Jing & Wang, Jiang, 2018. "Locality based wealth rule favors cooperation in costly public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 1-7.

    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:109:y:2018:i:c:p:41-46. 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.