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Find the Expected Payoff MM Be the Matrix Game Having Payoff Matrix

Question 30

Multiple Choice

Find the expected payoff.
-Let MM be the matrix game having payoff matrix [031230220302]\left[ \begin{array} { r r r r } 0 & 3 & 1 & - 2 \\ - 3 & 0 & 2 & - 2 \\ 0 & 3 & 0 & - 2 \end{array} \right] .
Find E(x,y) \mathrm { E } ( \mathbf { x } , \mathbf { y } ) when x=[141214]\mathbf { x } = \left[ \begin{array} { c } \frac { 1 } { 4 } \\ \frac { 1 } { 2 } \\ \frac { 1 } { 4 } \end{array} \right] and y=[1401214]\mathbf { y } = \left[ \begin{array} { c } \frac { 1 } { 4 } \\ 0 \\ \frac { 1 } { 2 } \\ \frac { 1 } { 4 } \end{array} \right]


A) 116- \frac { 1 } { 16 }

B) 14- \frac { 1 } { 4 }

C) 12- \frac { 1 } { 2 }

D) 316- \frac { 3 } { 16 }

Correct Answer:

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