Find the Optimal Mixed Row Strategy, the Optimal Mixed Column $P = \left[ \begin{array} { l l } - 7 & - 2 \\- 2 & - 3\end{array} \right]$

question 159

Multiple Choice

Find the optimal mixed row strategy, the optimal mixed column strategy, and the expected value of the game in the event that each player uses his or her optimal mixed strategy.
$P = \left[ \begin{array} { l l } - 7 & - 2 \\- 2 & - 3\end{array} \right]$

• A) \(R = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right]\) , \(C = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right] ^ { T }\) , \(e = - \frac { 5 } { 6 }\)
• B) \(R = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right]\) , \(C = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right] ^ { T }\) , \(e = - \frac { 17 } { 6 }\)
• C) \(R = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right]\) , \(C = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right] ^ { T }\) , \(e = - \frac { 17 } { 6 }\)
• D) \(R = \left[ \frac { 1 } { 6 } , \frac { 5 } { 6 } \right]\) , \(C = \left[ \frac { 1 } { 6 } , \frac { 5 } { 6 } \right] ^ { T }\) , \(e = - \frac { 17 } { 6 }\)
• E) \(R = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right]\) , \(C = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right] ^ { T }\) , \(e = - \frac { 5 } { 6 }\)

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