There is a famous Italian game called Two-finger Morra. This game is played by two people each of whom shows one or two fingers and simultaneously guesses the number of fingers his opponent will show. If just one player guesses correctly, he wins an amount equal to the sum of the fingers shown by himself and by his opponent, otherwise the game is considered a draw.

Obtain the pay-off matrix corresponding to it.

If (1, 1) represents a situation that a player holds one finger and guesses that his opponent will also show one finger; (1, 2) indicates that a player shows one finger and his opponent will show two fingers, ... and so on, the paY-offmatrix can be written as follows:

Transcribed Image Text:

Player II (1, 1) (1, 2) (2, 1) (2, 2) (1, 1) Player I (1, 2) -2 (2, 1) (2,2) 0430 2 -3 0 0 0 3 0 0 - 4 -3 4 0