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Regular version of the site

Book chapter

Epistemic Planning in Network Muddy Children Puzzle

P. 87-89.

The basic story of the puzzle is as follows. Three children have muddy faces,
and each can see the others' faces, but not his own. A teacher announces to the
children: \at least one of you has a muddy face". Then he asks: \Do you know
whether your face is muddy or not? If so, raise your hand". No child raises a
hand. Then, after some time, the teacher asks the same question, and again
no child raises a hand. Some more time passes, and when asked the question a
third time, each child raises his hand.