Question

1) Reduce the following 4 x 4 game matrix to find the optimal strategy for the row playerImage transcription textReduce the following 4 x 4 game matrix to find theoptimal strategy for the row player 4 3 9 7 - 7 - 5 - 3 5-1 4 5 00 -3 -5 1 - 12) Reduce the following 4 x 4 game matrix to find the optimal strategy for the column playerImage transcription textReduce the following 4 x 4 game matrix to find theoptimal strategy for the column player 4 3 9 7 -7-5 -3 -1 4 5 -3 -5 13) Reduce the following 4 x 4 game matrix to find the value of the gameImage transcription textReduce the following 4 x 4 game matrix to find thevalue of the game 4 3 9 7 -7 -5 -3 -1 4 5 - 3 -5 1

Answer 1

1) The optimal strategy for the row player is to choose the second option with probability 1, meaning that they should always play the second row.

2) The optimal strategy for the column player is to choose the first option with probability 1, meaning that they should always play the first column.

3) The value of the game is 1. This means that the row player can expect to win, on average, 1 point per game.