Question

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 Their options are to confess or not to confess. Given this information:

Answer 1

Both A and B have dominant strategies

Step-by-step explanation:

Consider 2 players "A" and "B" in the specified game. Here, row player is "B" and column player is "A." If "B" chooses "Confess" then "Not Confess" is the optimal choice for "A," because 50 > 20, likewise if "B" chooses "Not Confess," then "Not Confess" is the optimal choice for "A," as 10 > 2. Therefore, we can see that the "Not Confess" is the dominant "A" strategy Similarly we can prove that the prevailing technique for "B" is "Not Confess" too.

Hence, we can see that both player 's approach is successful and from the above explanation, the 2nd option is correct.