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Consider the Following Payoff Matrix Facing Two Criminals Their Options Are to Confess or Not to Confess

question 49

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Consider the following payoff matrix facing two criminals.  A: Confess  A: Not Confess  B: Confess  A: 20yrs, B: 20yrs  A: 50yrs, B: 2yrs  B: Not Confess  A: 2yrs, B: 50yrs  A: 10yrs, B: 10yrs \begin{array} { | l | l | l | } \hline & { \text { A: Confess } } & \text { A: Not Confess } \\\hline \text { B: Confess } & \text { A: 20yrs, B: 20yrs } & \text { A: 50yrs, B: 2yrs } \\\hline \text { B: Not Confess } & \text { A: 2yrs, B: 50yrs } & \text { A: 10yrs, B: 10yrs } \\\hline\end{array} Their options are to confess or not to confess. The payoffs represent the number of years each will spend in jail. The Nash equilibrium for the payoff matrix shown is:


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