5 Romeo and Juliet play a zero-sum game. The game is represented by the following pay-off matrix for Romeo.
| Juliet |
| \cline { 2 - 5 } | Strategy | D | E | F |
| A | 4 | - 4 | 0 | |
| \cline { 2 - 5 }
Romeo | B | - 2 | - 5 | 3 |
| \cline { 2 - 5 } | C | 2 | 1 | - 2 |
| \cline { 2 - 5 } | | | | |
| \cline { 2 - 5 } |
- Find the play-safe strategy for each player.
- Show that there is no stable solution.
- Explain why Juliet should never play strategy D.
- Explain why the following is a suitable pay-off matrix for Juliet.
- Hence find the optimal strategy for Juliet.
- Find the value of the game for Juliet.