4. A two person zero-sum game is represented by the following pay-off matrix for player \(A\).
| \cline { 2 - 4 }
\multicolumn{1}{c|}{} | \(B\) plays I | \(B\) plays II | \(B\) plays III |
| \(A\) plays I | 2 | - 1 | 3 |
| \(A\) plays II | 1 | 3 | 0 |
| \(A\) plays III | 0 | 1 | - 3 |
- Identify the play safe strategies for each player.
- Verify that there is no stable solution to this game.
- Explain why the pay-off matrix above may be reduced to
| \cline { 2 - 4 }
\multicolumn{1}{c|}{} | \(B\) plays I | \(B\) plays II | \(B\) plays III |
| \(A\) plays I | 2 | - 1 | 3 |
| \(A\) plays II | 1 | 3 | 0 |
- Find the best strategy for player \(A\), and the value of the game.