IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-16694-0_6.html
   My bibliography  Save this book chapter

Who Has the Sum?

In: One Hundred Prisoners and a Light Bulb

Author

Listed:
  • Hans van Ditmarsch

    (Université de Lorraine, LORIA, CNRS)

  • Barteld Kooi

    (University of Groningen, Faculty of Philosophy)

Abstract

Anne, Bill, and Cath all have a positive integer on their forehead. They can only see the foreheads of others. One of the numbers is the sum of the other two. All the previous is common knowledge. They now successively make the truthful announcements: 1. Anne: “I don’t know my number.” 2. Bill: “I don’t know my number.” 3. Cath: “I don’t know my number.” 4. Anne: “I know my number. It is 50.” What are the other numbers?

Suggested Citation

  • Hans van Ditmarsch & Barteld Kooi, 2015. "Who Has the Sum?," Springer Books, in: One Hundred Prisoners and a Light Bulb, edition 127, chapter 6, pages 55-63, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-16694-0_6
    DOI: 10.1007/978-3-319-16694-0_6
    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:978-3-319-16694-0_6. 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.