For the given row strategy R, find the optimal pure strategy (or strategies) the other player should use. Express the answer as a row or column matrix. $P = \left[ \begin{array} { c c c }
0 & - 1 & 5 \
2 & - 2 & 4 \
0 & 3 & 0 \
1 & 0 & - 5
\end{array} \right]$ , $R = \left[ \frac { 4 } { 5 } , \frac { 1 } { 5 } , 0,0 \right]$
A)The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -1.2
B) The strategy is $[ 1,0,0 ] ^ { T }$ ; the resulting expected value of the game is -1.2
C) The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -0.7
D) The strategy is $[ 0,0,1 ] ^ { T }$ ; the resulting expected value of the game is -1.2
E) The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -0.2

Question

For the given row strategy R, find the optimal pure strategy (or strategies) the other player should use. Express the answer as a row or column matrix.   $P = \left[ \begin{array} { c c c } 
0 & - 1 & 5 \
2 & - 2 & 4 \
0 & 3 & 0 \
1 & 0 & - 5
\end{array} \right]$ , $R = \left[ \frac { 4 } { 5 } , \frac { 1 } { 5 } , 0,0 \right]$  
A)The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -1.2
B) The strategy is $[ 1,0,0 ] ^ { T }$ ; the resulting expected value of the game is -1.2
C) The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -0.7
D) The strategy is $[ 0,0,1 ] ^ { T }$ ; the resulting expected value of the game is -1.2
E) The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -0.2

Quizplus · Accepted Answer

The optimal strategy for the other player is to play the second column with probability 1. This results in an expected value of -1.2 for the game.

For the Given Row Strategy R, Find the Optimal Pure P=[0−152−2403010−5]P = \left[ \begin{array} { c c c } 0 & - 1 & 5 \\2 & - 2 & 4 \\0 & 3 & 0 \\1 & 0 & - 5\end{array} \right]P=​0201​−1−230​540−5​​

For the Given Row Strategy R, Find the Optimal Pure $P = \left[ \begin{array} { c c c } 0 & - 1 & 5 \\2 & - 2 & 4 \\0 & 3 & 0 \\1 & 0 & - 5\end{array} \right]$