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

Question 39

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let M\mathrm { M } be the matrix game having payoff matrix [11260453]\left[ \begin{array} { r r r r } 1 & 1 & - 2 & 6 \\ 0 & 4 & 5 & 3 \end{array} \right] .
Find the optimal column strategy.


A) y^=[780180]\hat { y } = \left[ \begin{array} { c } \frac { 7 } { 8 } \\ 0 \\ \frac { 1 } { 8 } \\ 0 \end{array} \right]

B) y^=[580380]\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 5 } { 8 } \\ 0 \\ \frac { 3 } { 8 } \\ 0 \end{array} \right]

C) y^=[583800]\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 5 } { 8 } \\ \frac { 3 } { 8 } \\ 0 \\ 0 \end{array} \right]

D) y^=[781800]\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 7 } { 8 } \\ \frac { 1 } { 8 } \\ 0 \\ 0 \end{array} \right]

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