IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-18487-1_3.html
   My bibliography  Save this book chapter

Smale Strategies for Prisoner’s Dilemma Type Games

In: Algebra, Arithmetic and Geometry with Applications

Author

Listed:
  • Kashi Abhyankar

Abstract

The police arrest two suspects and question them in separate rooms. Each one is given the choice of confessing thus implicating the other, or keeping silent. The central feature of the story is that no matter what the other suspect does, each (considered alone) would be better off if he confessed. If the other confesses, the suspect in question ought to do the same and then avoid an especially harsh penalty for holding out. If the other remains silent, he can get especially lenient treatment for turning state’s witness. Confession is the dominant strategy. The irony is that both prisoners (considered together) would be better off if neither confessed — that is, if they cooperated — but since each is aware of the other’s incentive to confess, it is rational for both to confess.

Suggested Citation

  • Kashi Abhyankar, 2004. "Smale Strategies for Prisoner’s Dilemma Type Games," Springer Books, in: Chris Christensen & Avinash Sathaye & Ganesh Sundaram & Chandrajit Bajaj (ed.), Algebra, Arithmetic and Geometry with Applications, pages 45-48, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18487-1_3
    DOI: 10.1007/978-3-642-18487-1_3
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-642-18487-1_3. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.