Solve the Games with the Given Payoff Matrix $$\left[ \begin{array} { c c c c } 1 & - 1 & 2 & 0 \\1 & 2 & 0 & 1 \\0 & 1 & 1 & 0 \\2 & 0 & - 2 & 2\end{array} \right]$$

Multiple Choice

Solve the games with the given payoff matrix. $$\left[ \begin{array} { c c c c } 1 & - 1 & 2 & 0 \\1 & 2 & 0 & 1 \\0 & 1 & 1 & 0 \\2 & 0 & - 2 & 2\end{array} \right]$$

A) $C = \left[ \begin{array} { c } \frac { 1 } { 3 } \\\frac { 2 } { 3 } \\0 \\0\end{array} \right]$ , $R = \left[ \begin{array} { l l l l } 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 }\end{array} \right]$ , $e = - \frac { 2 } { 3 }$
B) $C = \left[ \begin{array} { c } 0 \\0 \\\frac { 2 } { 3 } \\\frac { 1 } { 3 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l l } \frac { 1 } { 3 } & \frac { 2 } { 3 } & 0 & 0\end{array} \right]$ , $e = \frac { 2 } { 3 }$
C) $C = \left[ \begin{array} { c } \frac { 1 } { 3 } \\\frac { 2 } { 3 } \\0 \\0\end{array} \right]$ , $R = \left[ \begin{array} { l l l l } 0 & 0 & \frac { 1 } { 3 } & \frac { 2 } { 3 }\end{array} \right]$ , $e = \frac { 2 } { 3 }$
D) $C = \left[ \begin{array} { c } 0 \\0 \\\frac { 2 } { 3 } \\\frac { 1 } { 3 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l l } 0 & 0 & \frac { 1 } { 3 } & \frac { 2 } { 3 }\end{array} \right]$ , $e = - \frac { 2 } { 3 }$
E) $C = \left[ \begin{array} { c } 0 \\0 \\\frac { 2 } { 3 } \\\frac { 1 } { 3 }\end{array} \right]$ , $R = \left[ \begin{array} { l l l l } 0 & 0 & \frac { 2 } { 3 } & \frac { 1 } { 3 }\end{array} \right]$ , $e = - \frac { 2 } { 3 }$