IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v30y2006i1p1-10.html
   My bibliography  Save this article

Strange attractors in a chaotic coin flip simulation

Author

Listed:
  • Cooper, Crystal

Abstract

Presented is a computer simulation used to model a variation of the game known as the gambler’s ruin. A rich player gambles with a set amount of money m. The poor player starts out with zero capital, and is allowed to flip a coin in order to try to win the money. If the coin is heads, the poor player wins a dollar but if it is tails, the player loses a dollar. The poor player is always allowed to win the first flip, and is allowed to flip n times, even when the amount of money lost reaches zero. The dynamics of this process is chaotic due to fluctuations in the variance of the amount of money.

Suggested Citation

  • Cooper, Crystal, 2006. "Strange attractors in a chaotic coin flip simulation," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 1-10.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:1-10
    DOI: 10.1016/j.chaos.2005.09.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905008301
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.09.001?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. Moffat, J.W., 1999. "A dynamical model of the capital markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 532-542.
    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.

      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:eee:chsofr:v:30:y:2006:i:1:p:1-10. 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.