IDEAS home Printed from https://ideas.repec.org/p/tkk/dpaper/dp43.html
   My bibliography  Save this paper

Demented Prisoners

Author

Listed:
  • Klaus Kultti

    (Department of Economics, University of Helsinki)

  • Hannu Salonen

    (Department of Economics, University of Turku)

Abstract

We study infinitely repeated Prisoners' Dilemma, where one of the players may be demented. If a player gets demented in period t after his choice of action, he is stuck to this choice for the rest of the game. So if his last choice was ``cooperate'' just before dementia struck him, then he's bound to cooperate always in the future. Even though a demented player cannot make choices any more he enjoys the same payoffs from strategy profiles as he did when healthy. A player may prove he is still healthy by showing a (costly) health certificate. This is possible only as long as the player really is healthy: a demented player cannot get a clean bill of health. We study an asymmetric information game where it is known that player 1 cannot get demented but player 2 may be either a ``healthy'' type who will never be demented or a ``dementible'' type who eventually will get demented. We study when cooperation can be maintained in a perfect Bayesian equilibrium with at most health check.

Suggested Citation

  • Klaus Kultti & Hannu Salonen, 2009. "Demented Prisoners," Discussion Papers 43, Aboa Centre for Economics.
  • Handle: RePEc:tkk:dpaper:dp43
    as

    Download full text from publisher

    File URL: http://www.ace-economics.fi/kuvat/dp43.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    prisoners' dilemma; dementia; co-operation;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:tkk:dpaper:dp43. 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: (Aleksandra Maslowska). General contact details of provider: http://edirc.repec.org/data/tukkkfi.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.