Consider the following payoff matrix facing two criminals. $\begin{array} { | l | l | l | }
\hline & { \text { A: Confess } } & \text { A: Not Confess } \
\hline \text { B: Confess } & \text { A: 20yrs, B: 20yrs } & \text { A: 50yrs, B: 2yrs } \
\hline \text { B: Not Confess } & \text { A: 2yrs, B: 50yrs } & \text { A: 10yrs, B: 10yrs } \
\hline
\end{array}$ Their options are to confess or not to confess. Given this information:
A) A has a dominant strategy but B does not.
B) B has a dominant strategy but A does not.
C) both A and B have dominant strategies.
D) neither A nor B has a dominant strategy.

Question

Consider the following payoff matrix facing two criminals. $\begin{array} { | l | l | l | } 
\hline &  { \text { A: Confess } } & \text { A: Not Confess } \
\hline \text { B: Confess } & \text { A: 20yrs, B: 20yrs } & \text { A: 50yrs, B: 2yrs } \
\hline \text { B: Not Confess } & \text { A: 2yrs, B: 50yrs } & \text { A: 10yrs, B: 10yrs } \
\hline
\end{array}$ Their options are to confess or not to confess. Given this information:
A) A has a dominant strategy but B does not.
B) B has a dominant strategy but A does not.
C) both A and B have dominant strategies.
D) neither A nor B has a dominant strategy.

Quizplus · Accepted Answer

Both A and B have dominant strategies. A's dominant strategy is to confess, and B's dominant strategy is to not confess.

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