Two players in the game of Two-Finger Morra simultaneously put out either one or two fingers. Each player must also announce the number of fingers that he believes his opponent has put out. If neither or both players correctly guess the number of fingers put out by the opponent, the game is a draw. Otherwise, the player who guesses correctly wins

(from the other player) the sum (in dollars) of the fingers put out by the two players. If we let (i, j) represent the strategy of putting out i fingers and guessing the opponent has put out j fingers, the appropriate reward matrix is as shown in Table 27.

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TABLE 27 Reward Matrix for Two-Finger Morra Row Player Column Player Row Minimum (1, 1) (1,2) (2, 1) (2,2) (1, 1) 0 2 -3 0 (1, 2) -2 0 0 3 (2, 1) 3 0 0 -4 (2,2) 0 -3 4 0 Column Maximum 3 2 4 3