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

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Definitions:

Photoreceptors

Specialized cells found in the retina of the eye that convert light into electrical signals, facilitating vision.

Retina

A layer at the back of the eyeball containing cells that are sensitive to light and that trigger nerve impulses that pass via the optic nerve to the brain, where a visual image is formed.

Optic Nerve

The nerve that transmits visual information from the retina to the brain.

Choroid Layer

A layer of the eye containing blood vessels and pigment cells, located between the retina and the sclera, primarily responsible for providing oxygen and nourishment to the outer layers of the retina.