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arxiv: 1801.01184 · v1 · pith:B57IJZFHnew · submitted 2018-01-03 · 🧮 math.CO

A note on the problem of prisoners and hats

classification 🧮 math.CO
keywords problemhatsprisonerscharacterizeclasscompletelyexamineexistence
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We study the famous mathematical puzzle of prisoners and hats. We introduce a framework in which various variants of the problem can be formalized. We examine three particular versions of the problem (each one in fact a class of problems) and completely characterize them as to (non)existence of winning strategies.

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