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Find the Optimal Row or Column Strategy of the Matrix MM

Question 9

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let MM be the matrix game having payoff matrix [113141211221032]\left[ \begin{array} { r r r r r } 1 & 1 & 3 & - 1 & 4 \\ 1 & - 2 & - 1 & 1 & - 2 \\ 2 & - 1 & 0 & 3 & - 2 \end{array} \right] .
Find the optimal row strategy.


A) x^=[13023]\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 3 } \\ 0 \\ \frac { 2 } { 3 } \end{array} \right]

B) x^=[23013]\hat { x } = \left[ \begin{array} { c } \frac { 2 } { 3 } \\ 0 \\ \frac { 1 } { 3 } \end{array} \right]

C) x^=[121613]\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 2 } \\ \frac { 1 } { 6 } \\ \frac { 1 } { 3 } \end{array} \right]

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

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