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Find the Optimal Row or Column Strategy of the Matrix MM

Question 54

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let MM be the matrix game having payoff matrix [4145]\left[ \begin{array} { r r } 4 & - 1 \\ - 4 & 5 \end{array} \right] .
Find the optimal column strategy.


A) y^=[3747]\hat { y } = \left[ \begin{array} { l } \frac { 3 } { 7 } \\ \frac { 4 } { 7 } \end{array} \right]

B) y^=[514914]\hat { y } = \left[ \begin{array} { c } \frac { 5 } { 14 } \\ \frac { 9 } { 14 } \end{array} \right]

C) y^=[914514]\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 9 } { 14 } \\ \frac { 5 } { 14 } \end{array} \right]

D) y^=[4737]\hat { \mathrm { y } } = \left[ \begin{array} { l } \frac { 4 } { 7 } \\ \frac { 3 } { 7 } \end{array} \right]

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