Prisoners and Hats Puzzle

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:

    We are all conceived in close prison; in our mothers’ wombs, we are close prisoners all; when we are born, we are born but to the liberty of the house; prisoners still, though within larger walls; and then all our life is but a going out to the place of execution, to death.
    John Donne (c. 1572–1631)

    Farmers in overalls and wide-brimmed straw hats lounge about the store on hot summer days, when the most common sound is the thump-thump-thump of a hound’s leg on the floor as he scratches contentedly. Oldtime hunters say that fleas are a hound’s salvation: his constant twisting and clawing in pursuit of the tormentors keeps his joints supple.
    —Administration in the State of Arka, U.S. public relief program (1935-1943)

    The at present unutterable things we may find somewhere uttered. These same questions that disturb and puzzle and confound us have in their turn occurred to all the wise men; not one has been omitted; and each has answered them, according to his ability, by his words and his life.
    Henry David Thoreau (1817–1862)