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.
$P = \left[ \begin{array} { c c }
- 7 & - 8 \
- 8 & 7
\end{array} \right]$
A) $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 15 } { 16 }$
B) $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
C) $R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
D) $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
E) $R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 15 } { 16 }$

Question

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.   
$P = \left[ \begin{array} { c c } 
- 7 & - 8 \
- 8 & 7
\end{array} \right]$  
A) $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 15 } { 16 }$
B)   $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
C)   $R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
D)   $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
E)   $R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 15 } { 16 }$

Quizplus · Accepted Answer

The Answer of 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.   
$P = \left[ \begin{array} { c c } 
- 7 & - 8 \
- 8 & 7
\end{array} \right]$  
A) $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 15 } { 16 }$
B)   $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
C)   $R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
D)   $R = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right]$ , $C = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right] ^ { T }$ , $e = - \frac { 113 } { 16 }$
E)   $R = \left[ \frac { 1 } { 16 } , \frac { 15 } { 16 } \right]$ , $C = \left[ \frac { 15 } { 16 } , \frac { 1 } { 16 } \right] ^ { T }$ , $e = - \frac { 15 } { 16 }$

Find the Optimal Mixed Row Strategy, the Optimal Mixed Column P=[−7−8−87]P = \left[ \begin{array} { c c } - 7 & - 8 \\- 8 & 7\end{array} \right]P=[−7−8​−87​]

Find the Optimal Mixed Row Strategy, the Optimal Mixed Column $P = \left[ \begin{array} { c c } - 7 & - 8 \\- 8 & 7\end{array} \right]$