IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v104y2017icp503-507.html
   My bibliography  Save this article

Evolution of cooperation in a spatial structure with compensation mechanisms

Author

Listed:
  • Sun, Peiyuan
  • Liu, Xuesong
  • Wang, Enze
  • He, Mingfeng
  • Pan, Qiuhui

Abstract

We study the evolution of cooperation by modeling interactional individuals with compensation mechanism on a two-dimensional square lattice. In this model, the payoff to cooperators is the same no matter what types their neighbors are, while the payoff to defectors depends on whether there exists cooperative neighbor. In addition, cooperators will obtain some compensation from the payoffs of defectors. We find that a larger compensation coefficient in the model leads to the higher cooperation, which means the compensation mechanism partly promotes cooperation. In addition, the simulation results suggest that decreasing either the payoff of defectors without cooperative neighbors or the payoff of defectors with cooperative neighbors will promote cooperation.

Suggested Citation

  • Sun, Peiyuan & Liu, Xuesong & Wang, Enze & He, Mingfeng & Pan, Qiuhui, 2017. "Evolution of cooperation in a spatial structure with compensation mechanisms," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 503-507.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:503-507
    DOI: 10.1016/j.chaos.2017.09.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007791730379X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2017.09.011?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. Matjaž Perc & Zhen Wang, 2010. "Heterogeneous Aspirations Promote Cooperation in the Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-8, December.
    2. 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.
    3. Oechssler, Jorg, 2002. "Cooperation as a result of learning with aspiration levels," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 405-409, November.
    4. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    5. Zhang, Jun & Fang, Yi-Ping & Du, Wen-Bo & Cao, Xian-Bin, 2011. "Promotion of cooperation in aspiration-based spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2258-2266.
    6. 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.
    7. Martin A. Nowak & Akira Sasaki & Christine Taylor & Drew Fudenberg, 2004. "Emergence of cooperation and evolutionary stability in finite populations," Nature, Nature, vol. 428(6983), pages 646-650, April.
    8. Yang, Han-Xin & Rong, Zhihai & Lu, Pei-Min & Zeng, Yong-Zhi, 2012. "Effects of aspiration on public cooperation in structured populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 4043-4049.
    Full references (including those not matched with items on IDEAS)

    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. Chen, Ya-Shan & Yang, Han-Xin & Guo, Wen-Zhong, 2017. "Aspiration-induced dormancy promotes cooperation in the spatial Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 625-630.
    2. You, Tao & Shi, Liang & Wang, Xiaoyu & Mengibaev, Muslimbek & Zhang, Ying & Zhang, Peng, 2021. "The effects of aspiration under multiple strategy updating rules on cooperation in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    3. 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.
    4. Quan, Ji & Zhou, Yawen & Wang, Xianjia & Yang, Jian-Bo, 2020. "Evidential reasoning based on imitation and aspiration information in strategy learning promotes cooperation in optional spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    5. Wang, Si-Yi & Liu, Yan-Ping & Zhang, Feng & Wang, Rui-Wu, 2021. "Super-rational aspiration induced strategy updating promotes cooperation in the asymmetric prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    6. 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.
    7. Bin Wu & Julián García & Christoph Hauert & Arne Traulsen, 2013. "Extrapolating Weak Selection in Evolutionary Games," PLOS Computational Biology, Public Library of Science, vol. 9(12), pages 1-7, December.
    8. Huang, Shaoxu & Liu, Xuesong & Hu, Yuhan & Fu, Xiao, 2023. "The influence of aggressive behavior on cooperation evolution in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    9. Hao, Weijuan & Hu, Yuhan, 2024. "The implications of deep cooperation strategy for the evolution of cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    10. Xia, Ke, 2021. "The characteristics of average abundance function of multi-player threshold public goods evolutionary game model under redistribution mechanism," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    11. Wang, Jianwei & Xu, Wenshu & Yu, Fengyuan & He, Jialu & Chen, Wei & Dai, Wenhui, 2024. "Evolution of cooperation under corrupt institutions," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    12. Chen, Qiao & Chen, Tong & Wang, Yongjie, 2017. "Publishing the donation list incompletely promotes the emergence of cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 48-56.
    13. Zhu, Xiaochen, 2023. "The dynamic edge environment under interactive diversity is a double-edged sword," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    14. Egas, Martijn & Riedl, Arno, 2005. "The Economics of Altruistic Punishment and the Demise of Cooperation," IZA Discussion Papers 1646, Institute of Labor Economics (IZA).
    15. Zhu, Wenqiang & Pan, Qiuhui & Song, Sha & He, Mingfeng, 2023. "Effects of exposure-based reward and punishment on the evolution of cooperation in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    16. Huck, Steffen & Leutgeb, Johannes & Oprea, Ryan, 2017. "Payoff information hampers the evolution of cooperation," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 8, pages 1-1.
    17. Flávio L Pinheiro & Jorge M Pacheco & Francisco C Santos, 2012. "From Local to Global Dilemmas in Social Networks," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-6, February.
    18. Liu, Jinzhuo & Meng, Haoran & Wang, Wei & Li, Tong & Yu, Yong, 2018. "Synergy punishment promotes cooperation in spatial public good game," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 214-218.
    19. Jia, Danyang & Shen, Chen & Guo, Hao & Chu, Chen & Lu, Jun & Shi, Lei, 2018. "The impact of loners’ participation willingness on cooperation in voluntary prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 218-223.
    20. Lin, Hai & Yang, Dong-Ping & Shuai, J.W., 2011. "Cooperation among mobile individuals with payoff expectations in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 153-159.

    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:104:y:2017:i:c:p:503-507. 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.