From the following pay-off matrix, where the payoffs (the negative val

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)

09 Jan 2025

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: \[ \begin{array}{|c|c|c|c|} \hline & \text{Confess} & \text{Don't Confess} \\ \hline \text{Confess} & (-5, -5) & (-1, -10) \\ \text{Don't Confess} & (-10, -1) & (-2, -2) \\ \hline \end{array} \] ### Step 1: Optimal Strategy for Each Individual ___ ___ __________ ______ ___ __________ ______ ________ _______ ____ _______.
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