Who Has the Sum?

Hans van Ditmarsch () and Barteld Kooi ()
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Hans van Ditmarsch: Université de Lorraine, LORIA, CNRS
Barteld Kooi: University of Groningen, Faculty of Philosophy

Chapter 6 in One Hundred Prisoners and a Light Bulb, 2015, pp 55-63 from Springer

Abstract: 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?

Keywords: Truthful Announcement; Anne Says; Successful Contractor; Announcement FOURTH; Mathematical Entertainments (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16694-0_6

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