Final answer:
To find each player's mixed strategy matrix, calculate the probabilities of their strategy choices. Then, multiply these probabilities by the corresponding payoffs in the game and sum them up. The player favored cannot be determined without the expected value.
Step-by-step explanation:
To find each player's mixed strategy matrix, we can use the given probabilities for each player's strategy choices.
The row player uses the maximin strategy 60% of the time and each of the other rows equally the remaining times. This means that the row player chooses the maximin strategy 0.6 of the time and each of the other strategies 0.4/3 = 0.1333 of the time.
The column player uses column one 30% of the time, column two 50% of the time, and column three 20% of the time. This means that the column player chooses column one 0.3 of the time, column two 0.5 of the time, and column three 0.2 of the time.
The mixed strategy matrix is given by:
| 0.6 0.1333 0.1333 |
| 0.3 0.5 0.2 |
Next, to find the expected value of the game, we multiply each entry in the mixed strategy matrix by the corresponding payoff in the game. We then sum up these products.
In this case, since the expected value is not provided, we cannot determine which player is favored based on this information alone.