Find the Optimal Row or Column Strategy of the Matrix $M$

question 54

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let $M$ be the matrix game having payoff matrix $\left[ \begin{array} { r r } 4 & - 1 \\ - 4 & 5 \end{array} \right]$ .
Find the optimal column strategy.

• A) \(\hat { y } = \left[ \begin{array} { l } \frac { 3 } { 7 } \\ \frac { 4 } { 7 } \end{array} \right]\)
• B) \(\hat { y } = \left[ \begin{array} { c } \frac { 5 } { 14 } \\ \frac { 9 } { 14 } \end{array} \right]\)
• C) \(\hat { \mathrm { y } } = \left[ \begin{array} { c } \frac { 9 } { 14 } \\ \frac { 5 } { 14 } \end{array} \right]\)
• D) \(\hat { \mathrm { y } } = \left[ \begin{array} { l } \frac { 4 } { 7 } \\ \frac { 3 } { 7 } \end{array} \right]\)

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Definitions:

Epinephrine

A hormone and neurotransmitter also known as adrenaline, involved in regulating visceral functions (e.g., respiration) and in the fight-or-flight response.

Emotional States

The psychological conditions reflecting one's feelings, ranging from happiness and love to anger, fear, and sadness, often influenced by external events or internal thoughts.

Physiological States

Conditions or states of the body and its systems, often referring to the body's response to various stimuli or conditions such as stress, exercise, or illness.

Experience of Emotion

The process of consciously recognizing and feeling emotional states.