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

question 39

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let $\mathrm { M }$ be the matrix game having payoff matrix $\left[ \begin{array} { r r r r } 1 & 1 & - 2 & 6 \\ 0 & 4 & 5 & 3 \end{array} \right]$ .
Find the optimal column strategy.

• A) \(\hat { y } = \left[ \begin{array} { c } \frac { 7 } { 8 } \\ 0 \\ \frac { 1 } { 8 } \\ 0 \end{array} \right]\)
• B) \(\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 5 } { 8 } \\ 0 \\ \frac { 3 } { 8 } \\ 0 \end{array} \right]\)
• C) \(\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 5 } { 8 } \\ \frac { 3 } { 8 } \\ 0 \\ 0 \end{array} \right]\)
• D) \(\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 7 } { 8 } \\ \frac { 1 } { 8 } \\ 0 \\ 0 \end{array} \right]\)