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)
“There are several natural phenomena which I shall have to have explained to me before I can keep on going as a resident member of the human race. One is the metamorphosis which hats and suits undergo exactly one week after their purchase, whereby they are changed from smart, intensely becoming articles of apparel into something children use when they want to “dress up like daddy.””
—Robert Benchley (1889–1945)
“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)