Question
From the following pay-off matrix, where the payoffs (the negative values) are the years of possible imprisonment for individuals A and B, determine:
(i) The optimal strategy for each individual.
(ii) Do individuals A and B face a prisoner’s dilemma?
| Individual B | |||
| Individual A | Confess | Don’t Confess | |
| Confess | (-5, -5) | (-1, -10) | |
| Don’t Confess | (-10, -1) | (-2, -2) | |
Answer :
Word Count : 447
Let's solve this step by step based on the pay-off matrix provided. The matrix represents the possible outcomes of the choices made by both individuals (A and B). The numbers in the matrix represent the years of imprisonment for A and B, with negative values denoting imprisonment duration. ### Pay-off Matrix: \[ \begin{array}{|c|c|c|c|} \hline & \text{Confess} & \text{Don't Confess} \\ \hline \text{Confess} & (-5, -5) & (-1, -10) \\ \text{Don't Confess} & (-10, -1) ____ ______ ______ __________ ______.
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Let's solve this step by step based on the pay-off matrix provided. The matrix represents the possible outcomes of the choices made by both individuals (A and B). The numbers in the matrix represent the years of imprisonment for A and B, with negative values denoting imprisonment duration. ### Pay-off Matrix: \[ \begin{array}{|c|c|c|c|} \hline & \text{Confess} & \text{Don't Confess} \\ \hline \text{Confess} & (-5, -5) & (-1, -10) \\ \text{Don't Confess} & (-10, -1) ____ ______ ______ __________ ______.
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