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

Question 26

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let M\mathrm { M } be the matrix game having payoff matrix [545340932]\left[ \begin{array} { r r r } 5 & - 4 & 5 \\ - 3 & 4 & 0 \\ - 9 & - 3 & - 2 \end{array} \right] .
Find the optimal row strategy.


A) x^=[12012]\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 2 } \\ 0 \\ \frac { 1 } { 2 } \end{array} \right]

B) x^=[12120]\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 2 } \\ \frac { 1 } { 2 } \\ 0 \end{array} \right]

C) x^=[7160916]\hat { x } = \left[ \begin{array} { c } \frac { 7 } { 16 } \\ 0 \\ \frac { 9 } { 16 } \end{array} \right]

D) x^=[7169160]\hat { x } = \left[ \begin{array} { c } \frac { 7 } { 16 } \\ \frac { 9 } { 16 } \\ 0 \end{array} \right]

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