IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v490y2018icp584-590.html
   My bibliography  Save this article

Promotion of cooperation induced by two-sided players in prisoner’s dilemma game

Author

Listed:
  • Su, Zhen
  • Li, Lixiang
  • Xiao, Jinghua
  • Podobnik, B.
  • Stanley, H. Eugene

Abstract

We examine how real-world individuals and companies can either reach an agreement or fail to reach an agreement after several stages of negotiation. We use a modified prisoner’s dilemma game with two-sided players who can either cooperate or not cooperate with their neighbors. We find that the presence of even a small number of these two-sided players substantially promotes the cooperation because, unlike the rock–paper–scissors scenario, when the cooperators change to the non-cooperators to gain a payoff, they can turn to the two-sided players and continue negotiating. We find that the network structure influences the spread of strategies. Lattice and regular-random (RR) networks benefit the spread of both non-cooperation and two-sided strategies, but scale-free (SF) networks stop both strategies. We also find that the Erdös–Rényi (ER) network promotes the two-sided strategy and blocks the spread of non-cooperation. As the ER network density decreases, and the network degree is lowered the lifetime of non-cooperators increases. Our results expand our understanding of the role played by the two-sided strategy in the growth of the cooperative behavior in networks.

Suggested Citation

  • Su, Zhen & Li, Lixiang & Xiao, Jinghua & Podobnik, B. & Stanley, H. Eugene, 2018. "Promotion of cooperation induced by two-sided players in prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 584-590.
  • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:584-590
    DOI: 10.1016/j.physa.2017.08.117
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117308452
    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.2017.08.117?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. Erez Lieberman & Christoph Hauert & Martin A. Nowak, 2005. "Evolutionary dynamics on graphs," Nature, Nature, vol. 433(7023), pages 312-316, January.
    2. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    3. Rick L. Riolo & Michael D. Cohen & Robert Axelrod, 2001. "Evolution of cooperation without reciprocity," Nature, Nature, vol. 414(6862), pages 441-443, November.
    4. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    5. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    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. Feng, Sinan & Liu, Xuesong, 2024. "Effects of three-faced strategy on the evolution of cooperation in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    2. Wang, Jianwei & He, Jialu & Yu, Fengyuan, 2021. "Heterogeneity of reputation increment driven by individual influence promotes cooperation in spatial social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Yang, Jing & Chen, Ya-Shan & Sun, Yichun & Yang, Han-Xin & Liu, Yu, 2018. "Group formation in the spatial public goods game with continuous strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 737-743.

    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. Faqi Du & Feng Fu, 2011. "Partner Selection Shapes the Strategic and Topological Evolution of Cooperation," Dynamic Games and Applications, Springer, vol. 1(3), pages 354-369, September.
    2. Mayuko Nakamaru & Akira Yokoyama, 2014. "The Effect of Ostracism and Optional Participation on the Evolution of Cooperation in the Voluntary Public Goods Game," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-9, September.
    3. Christopher Graser & Takako Fujiwara-Greve & Julian García & Matthijs van Veelen, 2024. "Repeated games with partner choice," Tinbergen Institute Discussion Papers 24-038/I, Tinbergen Institute.
    4. Jason Barr & Troy Tassier, 2010. "Endogenous Neighborhood Selection and the Attainment of Cooperation in a Spatial Prisoner’s Dilemma Game," Computational Economics, Springer;Society for Computational Economics, vol. 35(3), pages 211-234, March.
    5. Fabio Della Rossa & Fabio Dercole & Anna Di Meglio, 2020. "Direct Reciprocity and Model-Predictive Strategy Update Explain the Network Reciprocity Observed in Socioeconomic Networks," Games, MDPI, vol. 11(1), pages 1-28, March.
    6. Chen, Wei & Wu, Te & Li, Zhiwu & Wang, Long, 2016. "Friendship-based partner switching promotes cooperation in heterogeneous populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 192-199.
    7. Guan, Kaixuan & Chen, Yuyou & Zheng, Wanjun & Zeng, Lulu & Ye, Hang, 2022. "Costly signals can facilitate cooperation and punishment in the prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    8. Hajime Shimao & Mayuko Nakamaru, 2013. "Strict or Graduated Punishment? Effect of Punishment Strictness on the Evolution of Cooperation in Continuous Public Goods Games," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-10, March.
    9. Christian Hilbe & Maria Kleshnina & Kateřina Staňková, 2023. "Evolutionary Games and Applications: Fifty Years of ‘The Logic of Animal Conflict’," Dynamic Games and Applications, Springer, vol. 13(4), pages 1035-1048, December.
    10. 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.
    11. Lu, Kun & Wu, Bin & Li, Ming-chu & Wang, Zhen, 2014. "Other-regarding preference causing ping-pong effect in self-questioning game," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 51-58.
    12. Yao Meng & Sean P. Cornelius & Yang-Yu Liu & Aming Li, 2024. "Dynamics of collective cooperation under personalised strategy updates," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    13. Laura Schmid & Farbod Ekbatani & Christian Hilbe & Krishnendu Chatterjee, 2023. "Quantitative assessment can stabilize indirect reciprocity under imperfect information," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    14. Feng, Sinan & Liu, Xuesong & Dong, Yida, 2022. "Limited punishment pool may promote cooperation in the public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    15. Quan, Ji & Zhou, Yawen & Wang, Xianjia & Yang, Jian-Bo, 2020. "Information fusion based on reputation and payoff promotes cooperation in spatial public goods game," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    16. Yutaka Nakai, 2014. "In-group favoritism due to friend selection strategies based on fixed tag and within-group reputation," Rationality and Society, , vol. 26(3), pages 320-354, August.
    17. Kurokawa, Shun, 2019. "How memory cost, switching cost, and payoff non-linearity affect the evolution of persistence," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 174-192.
    18. Peter Andras & John Lazarus & Gilbert Roberts & Steven J Lynden, 2005. "Uncertainty and Cooperation: Analytical Results and a Simulated Agent Society," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 9(1), pages 1-7.
    19. Zhang, Hong, 2015. "Moderate tolerance promotes tag-mediated cooperation in spatial Prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 52-61.
    20. Jiang, Zhi-Qiang & Wang, Peng & Ma, Jun-Chao & Zhu, Peican & Han, Zhen & Podobnik, Boris & Stanley, H. Eugene & Zhou, Wei-Xing & Alfaro-Bittner, Karin & Boccaletti, Stefano, 2023. "Unraveling the effects of network, direct and indirect reciprocity in online societies," Chaos, Solitons & Fractals, Elsevier, vol. 169(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:490:y:2018:i:c:p:584-590. 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.