IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Evolutionary Games On Visibility Graphs

  • ALEKSANDRA MURKS

    ()

    (Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Slovenia)

  • MATJAŽ PERC

    ()

    (Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Slovenia)

Registered author(s):

    We show that time series of different complexities can be transformed into networks that host individuals playing evolutionary games. The irregularity of the time series is thereby faithfully reflected in the fraction of cooperators surviving the evolutionary process, thus effectively linking time series with evolutionary games. Pivotal to the linkage is a simple visibility algorithm that transforms time series into networks. More specifically, periodic series yield regular networks, chaotic series yield random networks, while fractal series yield scale-free networks. As an example, we use a chaotic time series from the Logistic map and a fractal time series of Brownian motion, yielding an interaction network with an exponential and a power-law degree distribution, respectively. By employing the prisoner's dilemma and the snowdrift game, we demonstrate that such heterogeneous interaction networks facilitate the evolution of cooperation if compared to the traditional square lattice topology. Due to the simplicity of the employed methodology, newcomers with a basic command of nonlinear dynamics or stochastic processes can become easily acquainted with evolutionary games, and moreover, integrate these interesting and vibrant subfields of physics more effectively into their research.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL: http://www.worldscinet.com/cgi-bin/details.cgi?type=pdf&id=pii:S0219525911002974
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: http://www.worldscinet.com/cgi-bin/details.cgi?type=html&id=pii:S0219525911002974
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal Advances in Complex Systems.

    Volume (Year): 14 (2011)
    Issue (Month): 03 ()
    Pages: 307-315

    as
    in new window

    Handle: RePEc:wsi:acsxxx:v:14:y:2011:i:03:p:307-315
    Contact details of provider: Web page: http://www.worldscinet.com/acs/acs.shtml

    Order Information: Email:


    No references listed on IDEAS
    You can help add them by filling out this form.

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:wsi:acsxxx:v:14:y:2011:i:03:p:307-315. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tai Tone Lim)

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.