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

question 31

Multiple Choice

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. Also determine the resulting expected value of the game. $$P = \left[ \begin{array} { c c c } 0 & - 1 & 5 \\2 & - 2 & 4 \\0 & 3 & 0 \\1 & 0 & - 5\end{array} \right]$$ , $R = [ 0.7,0.3,0,0 ]$

• A)The strategy is \([ 0,1,0 ] ^ { T }\) ; the resulting expected value of the game is -0.3
• B) The strategy is \([ 1,0,0 ] ^ { T }\) ; the resulting expected value of the game is -1.3
• C) The strategy is \([ 0,1,0 ] ^ { T }\) ; the resulting expected value of the game is -1.3
• D) The strategy is \([ 0,0,1 ] ^ { T }\) ; the resulting expected value of the game is -1.3
• E) The strategy is \([ 0,1,0 ] ^ { T }\) ; the resulting expected value of the game is -0.8

Apply logical principles to translate informal statements into formal logical expressions.

Understand the relationship between antecedents and consequents in hypothetical propositions.

Distinguish between necessary and sufficient conditions in propositions.

Analyze propositions involving conditional statements and their negations.

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