Find the Optimal Mixed Row Strategy, the Optimal Mixed Column $P = \left[ \begin{array} { l l } - 7 & - 2 \\- 2 & - 3\end{array} \right]$

question 159

Multiple Choice

Find the optimal mixed row strategy, the optimal mixed column strategy, and the expected value of the game in the event that each player uses his or her optimal mixed strategy.
$P = \left[ \begin{array} { l l } - 7 & - 2 \\- 2 & - 3\end{array} \right]$

• A) \(R = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right]\) , \(C = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right] ^ { T }\) , \(e = - \frac { 5 } { 6 }\)
• B) \(R = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right]\) , \(C = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right] ^ { T }\) , \(e = - \frac { 17 } { 6 }\)
• C) \(R = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right]\) , \(C = \left[ \frac { 1 } { 6 } , - \frac { 5 } { 6 } \right] ^ { T }\) , \(e = - \frac { 17 } { 6 }\)
• D) \(R = \left[ \frac { 1 } { 6 } , \frac { 5 } { 6 } \right]\) , \(C = \left[ \frac { 1 } { 6 } , \frac { 5 } { 6 } \right] ^ { T }\) , \(e = - \frac { 17 } { 6 }\)
• E) \(R = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right]\) , \(C = \left[ \frac { 5 } { 6 } , - \frac { 1 } { 6 } \right] ^ { T }\) , \(e = - \frac { 5 } { 6 }\)

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Definitions:

Alternatives Generation

The process of creating or identifying different options or strategies to achieve a particular goal or solve a problem.

Problem-Focused Coping

A coping strategy that involves directly managing or solving a stressful problem, aiming to change the situation that is causing stress.

Emotion-Focused Strategies

Coping mechanisms aimed at managing or reducing the emotional distress associated with a problem without necessarily solving the problem itself.

Actions

The processes of doing something in order to achieve a particular result, often emphasizing the physical or overt aspects.