Find the Expected Payoff $M$ Be the Matrix Game Having Payoff Matrix

question 30

Multiple Choice

Find the expected payoff.
-Let $M$ be the matrix game having payoff matrix $\left[ \begin{array} { r r r r } 0 & 3 & 1 & - 2 \\ - 3 & 0 & 2 & - 2 \\ 0 & 3 & 0 & - 2 \end{array} \right]$ .
Find $\mathrm { E } ( \mathbf { x } , \mathbf { y } )$ when $\mathbf { x } = \left[ \begin{array} { c } \frac { 1 } { 4 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 4 } \end{array} \right]$ and $\mathbf { y } = \left[ \begin{array} { c } \frac { 1 } { 4 } \\ 0 \\ \frac { 1 } { 2 } \\ \frac { 1 } { 4 } \end{array} \right]$

• A) \(- \frac { 1 } { 16 }\)
• B) \(- \frac { 1 } { 4 }\)
• C) \(- \frac { 1 } { 2 }\)
• D) \(- \frac { 3 } { 16 }\)

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