Two players simultaneously utter one of the three words stone, paper, or scissors and show corresponding hand signs. If both players utter the same word, then the game is a draw.

Otherwise, one player wins $1 from the other player according to the following: Scissors defeats (cuts) paper, paper defeats (covers) stone, and stone defeats (breaks) scissors. Find the value and optimal strategies for this two-person zero-sum game. The solution is given later in this section.