6 Victoria and Albert play a zero-sum game. The game is represented by the following pay-off matrix for Victoria.
| \multirow{2}{*}{} | | Albert |
| Strategy | \(\boldsymbol { x }\) | \(Y\) | \(z\) |
| \multirow{3}{*}{Victoria} | \(P\) | 3 | -1 | 1 |
| \(Q\) | -2 | 0 | 1 |
| \(R\) | 4 | -1 | -1 |
6
- Find the play-safe strategies for each player.
6 - State, with a reason, the strategy that Albert should never play.
6 - Determine an optimal mixed strategy for Victoria.
[0pt]
[5 marks]
6
- (ii) Find the value of the game for Victoria.
6 - (iii) State an assumption that must made in order that your answer for part (c)(ii) is the maximum expected pay-off that Victoria can achieve.