IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0126234.html
   My bibliography  Save this article

The Dynamic Consequences of Cooperation and Competition in Small-World Networks

Author

Listed:
  • Iván Y Fernández-Rosales
  • Larry S Liebovitch
  • Lev Guzmán-Vargas

Abstract

We present a study of the social dynamics among cooperative and competitive actors interacting on a complex network that has a small-world topology. In this model, the state of each actor depends on its previous state in time, its inertia to change, and the influence of its neighboring actors. Using numerical simulations, we determine how the distribution of final states of the actors and measures of the distances between the values of the actors at local and global levels, depend on the number of cooperative to competitive actors and the connectivity of the actors in the network. We find that similar numbers of cooperative and competitive actors yield the lowest values for the local and global measures of the distances between the values of the actors. On the other hand, when the number of either cooperative or competitive actors dominate the system, then the divergence is largest between the values of the actors. Our findings make new testable predictions on how the dynamics of a conflict depends on the strategies chosen by groups of actors and also have implications for the evolution of behaviors.

Suggested Citation

  • Iván Y Fernández-Rosales & Larry S Liebovitch & Lev Guzmán-Vargas, 2015. "The Dynamic Consequences of Cooperation and Competition in Small-World Networks," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-13, April.
    • Handle: RePEc:plo:pone00:0126234
    DOI: 10.1371/journal.pone.0126234
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0126234
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0126234&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0126234?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
    ---><---

    References listed on IDEAS

    as
    1. Liebovitch, Larry S. & Naudot, Vincent & Vallacher, Robin & Nowak, Andrzej & Bui-Wrzosinska, Lan & Coleman, Peter, 2008. "Dynamics of two-actor cooperation–competition conflict models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6360-6378.
    2. Rojas-Pacheco, A. & Obregón-Quintana, B. & Liebovitch, L.S. & Guzmán-Vargas, L., 2013. "Time-delay effects on dynamics of a two-actor conflict model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 458-467.
    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. Yanzhu Hu & Huiyang Zhao & Xinbo Ai, 2016. "Inferring Weighted Directed Association Network from Multivariate Time Series with a Synthetic Method of Partial Symbolic Transfer Entropy Spectrum and Granger Causality," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-25, November.
    2. Diep, H.T. & Kaufman, Miron & Kaufman, Sanda, 2017. "Dynamics of two-group conflicts: A statistical physics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 183-199.

    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. Flores, J.C. & Bologna, Mauro, 2013. "Troy: A simple nonlinear mathematical perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4683-4687.
    2. Ekaterina V. Orlova, 2024. "A Novel Brillouin and Langevin Functions Dynamic Model for Two Conflicting Social Groups: Study of R&D Processes," Mathematics, MDPI, vol. 12(17), pages 1-26, September.
    3. Kaufman, Miron & Diep, Hung T. & Kaufman, Sanda, 2019. "Sociophysics of intractable conflicts: Three-group dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 175-187.

    More about this item

    Statistics

    Access and download statistics

    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:plo:pone00:0126234. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.