Mirror Council

Predict who can deduce their own badge.

Three observers wear amber or blue badges. They cannot see their own badge. Everyone knows at least one badge is amber and knows who can see whom. You, the analyst, see the true arrangement; observers may use only their own view and the public record.

For each observer, predict unknown, knows amber, or knows blue. Commit all three predictions, then advance the truthful public statement. Complete the case in at most four stages, aiming for every forecast correct. “I do not know” rules out worlds where that observer would know.

Public record