Find the Optimal Row or Column Strategy of the Matrix $M$

question 36

Multiple Choice

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

• A) \(\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 5 } { 6 } \\ \frac { 1 } { 6 } \\ 0 \end{array} \right]\)
• B) \(\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 1 } { 6 } \\ \frac { 5 } { 6 } \\ 0 \end{array} \right]\)
• C)\(\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 7 } { 12 } \\ \frac { 5 } { 12 } \\ 0 \end{array} \right]\)
• D) \(\hat { y } = \left[ \begin{array} { c } \frac { 1 } { 6 } \\ 0 \\ \frac { 5 } { 6 } \end{array} \right]\)

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