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

question 4

Multiple Choice

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) \(C = \left[ \begin{array} { c }
• \frac { 5 } { 18 } \\
• \frac { 5 } { 18 } \\
• \frac { 4 } { 9 }
• \end{array} \right]\) , \(R = \left[ \begin{array} { l l l }
• \frac { 5 } { 9 } & \frac { 1 } { 18 } & \frac { 7 } { 18 }
• \end{array} \right]\) , \(e = - \frac { 31 } { 18 }\)

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