Consecutive Numbers

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 1 in One Hundred Prisoners and a Light Bulb, 2015, pp 1-11 from Springer

Abstract: Abstract Anne and Bill get to hear the following: “Given are two natural numbers. They are consecutive numbers. I am going to whisper one of these numbers to Anne and the other number to Bill.” This happens. Anne and Bill now have the following conversation. Anne: “I don’t know your number.” Bill: “I don’t know your number.” Anne: “I know your number.” Bill: “I know your number.” First they don’t know the numbers, and then they do. How is that possible? What surely is one of the two numbers?

Keywords: Natural Numbers; Pair Number; Bill Knows; Higher Number Wins; Dynamic Epistemic Logic (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16694-0_1

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