The prisoners and hats puzzle is an induction puzzle (a kind of logic puzzle) that involves reasoning about the actions of other people, drawing in aspects of Game theory sometimes called the hierarchy of beliefs. There are many variations, but the central theme remains the same. Not to be confused with the similar Hat Puzzle.
Read more about Prisoners And Hats Puzzle: The Puzzle, The Solution
Famous quotes containing the words prisoners, hats and/or puzzle:
“Two prisoners whose cells adjoin communicate with each other by knocking on the wall. The wall is the thing which separates them but is also their means of communication. It is the same with us and God. Every separation is a link.”
—Simone Weil (1909–1943)
“My consolation is to think of the women I have known, now that there is no longer such thing as elegance. But how can people who contemplate these horrible creatures under their hats covered in pigeon-houses or gardens, how can they understand the charm of seeing Madame Swann wearing a simple mauve cap or a small hat surmounted by a straight iris?”
—Marcel Proust (1871–1922)
“Scholars and artists thrown together are often annoyed at the puzzle of where they differ. Both work from knowledge; but I suspect they differ most importantly in the way their knowledge is come by. Scholars get theirs with conscientious thoroughness along projected lines of logic; poets theirs cavalierly and as it happens in and out of books. They stick to nothing deliberately, but let what will stick to them like burrs where they walk in the fields.”
—Robert Frost (1874–1963)