3. A two-person zero-sum game is represented by the payoff matrix for player \(A\) shown below.
| \cline { 3 - 5 }
\multicolumn{2}{c|}{} | \(B\) |
| \cline { 3 - 5 }
\multicolumn{2}{c|}{} | I | II | III |
| \multirow{2}{*}{\(A\)} | I | 1 | - 1 | 2 |
| \cline { 2 - 5 } | II | 3 | 5 | - 1 |
- Represent the expected payoffs to \(A\) against \(B\) 's strategies graphically and hence determine which strategy is not worth considering for player \(B\).
- Find the best strategy for player \(A\) and the value of the game.