Solve the Games with the Given Payoff Matrix $$\left[ \begin{array} { c c c c } 1 & - 1 & 2 & 0 \\1 & 2 & 0 & 1 \\0 & 1 & 1 & 0 \\2 & 0 & - 2 & 2\end{array} \right]$$

question 128

Multiple Choice

Solve the games with the given payoff matrix. $$\left[ \begin{array} { c c c c } 1 & - 1 & 2 & 0 \\1 & 2 & 0 & 1 \\0 & 1 & 1 & 0 \\2 & 0 & - 2 & 2\end{array} \right]$$

• A) \(C = \left[ \begin{array} { c }
• \frac { 1 } { 3 } \\
• \frac { 2 } { 3 } \\
• 0 \\
• 0
• \end{array} \right]\) , \(R = \left[ \begin{array} { l l l l }
• 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 }
• \end{array} \right]\) , \(e = - \frac { 2 } { 3 }\)
• B) \(C = \left[ \begin{array} { c }
• 0 \\
• 0 \\
• \frac { 2 } { 3 } \\
• \frac { 1 } { 3 }
• \end{array} \right]\) , \(R = \left[ \begin{array} { l l l l }
• \frac { 1 } { 3 } & \frac { 2 } { 3 } & 0 & 0
• \end{array} \right]\) , \(e = \frac { 2 } { 3 }\)
• C) \(C = \left[ \begin{array} { c }
• \frac { 1 } { 3 } \\
• \frac { 2 } { 3 } \\
• 0 \\
• 0
• \end{array} \right]\) , \(R = \left[ \begin{array} { l l l l }
• 0 & 0 & \frac { 1 } { 3 } & \frac { 2 } { 3 }
• \end{array} \right]\) , \(e = \frac { 2 } { 3 }\)
• D) \(C = \left[ \begin{array} { c }
• 0 \\
• 0 \\
• \frac { 2 } { 3 } \\
• \frac { 1 } { 3 }
• \end{array} \right]\) , \(R = \left[ \begin{array} { l l l l }
• 0 & 0 & \frac { 1 } { 3 } & \frac { 2 } { 3 }
• \end{array} \right]\) , \(e = - \frac { 2 } { 3 }\)
• E) \(C = \left[ \begin{array} { c }
• 0 \\
• 0 \\
• \frac { 2 } { 3 } \\
• \frac { 1 } { 3 }
• \end{array} \right]\) , \(R = \left[ \begin{array} { l l l l }
• 0 & 0 & \frac { 2 } { 3 } & \frac { 1 } { 3 }
• \end{array} \right]\) , \(e = - \frac { 2 } { 3 }\)

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Definitions:

Responses

Reactions or behavior exhibited by an organism in response to a stimulus.

Learned Helplessness

A condition in which an individual becomes passive and unable to act to control or change a situation because of repeated exposure to uncontrollable events.

Avoidance Procedure

A behavioral training method where learning occurs through the avoidance of an unpleasant stimulus.

Aversive Stimulation

A psychological technique that uses unpleasant stimuli to reduce or eliminate undesirable behaviors.