Solve the Games with the Given Payoff Matrix $$P = \left[ \begin{array} { c c c } - 1 & 1 & 2 \\2 & - 1 & - 2 \\1 & 2 & - 1\end{array} \right]$$

Solve the games with the given payoff matrix. $$P = \left[ \begin{array} { c c c } - 1 & 1 & 2 \\2 & - 1 & - 2 \\1 & 2 & - 1\end{array} \right]$$

A) $C = \left[ \begin{array} { l } \frac { 5 } { 9 } \\\frac { 2 } { 9 } \\\frac { 2 } { 9 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l } \frac { 7 } { 18 } & \frac { 1 } { 18 } & \frac { 5 } { 9 }\end{array} \right]$ , $e = - \frac { 85 } { 18 }$
B) $C = \left[ \begin{array} { l } \frac { 5 } { 9 } \\\frac { 2 } { 9 } \\\frac { 2 } { 9 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l } \frac { 7 } { 18 } & \frac { 1 } { 18 } & \frac { 5 } { 9 }\end{array} \right]$ , $e = - \frac { 31 } { 18 }$
C) $C = \left[ \begin{array} { c } \frac { 5 } { 9 } \\\frac { 7 } { 18 } \\\frac { 1 } { 18 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l } \frac { 5 } { 9 } & \frac { 1 } { 18 } & \frac { 7 } { 18 }\end{array} \right]$ , $e = \frac { 5 } { 18 }$
D) $C = \left[ \begin{array} { c } \frac { 1 } { 18 } \\\frac { 7 } { 18 } \\\frac { 5 } { 9 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l } \frac { 5 } { 9 } & \frac { 1 } { 18 } & \frac { 7 } { 18 }\end{array} \right]$ , $e = - \frac { 85 } { 18 }$
E) $C = \left[ \begin{array} { c } \frac { 5 } { 18 } \\\frac { 5 } { 18 } \\\frac { 4 } { 9 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l } \frac { 5 } { 9 } & \frac { 1 } { 18 } & \frac { 7 } { 18 }\end{array} \right]$ , $e = - \frac { 31 } { 18 }$