Find the Optimal Row or Column Strategy of the Matrix $\mathrm { M }$

question 44

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let $\mathrm { M }$ be the matrix game having payoff matrix $\left[ \begin{array} { r r r } 5 & - 4 & 5 \\ - 3 & 4 & 0 \\ - 9 & - 3 & - 2 \end{array} \right]$ .
Find the optimal row strategy.

• A) \(\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 2 } \\ 0 \\ \frac { 1 } { 2 } \end{array} \right]\)
• B) \(\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 2 } \\ \frac { 1 } { 2 } \\ 0 \end{array} \right]\)
• C) \(\hat { x } = \left[ \begin{array} { c } \frac { 7 } { 16 } \\ 0 \\ \frac { 9 } { 16 } \end{array} \right]\)
• D) \(\hat { x } = \left[ \begin{array} { c } \frac { 7 } { 16 } \\ \frac { 9 } { 16 } \\ 0 \end{array} \right]\)

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