Bob Don\'t Confess B: 20 years J: 1 year Confess B: 10 years J: 10 years Confess

Question

Bob Don't Confess B: 20 years J: 1 year Confess B: 10 years J: 10 years Confess Joe Don't Confess B: 1 year J: 20 years B: 2 years J: 2 years The table above displays the possible outcomes for Bob and Joe, who have been arrested for armed robbery and car theft. Which of the following is true? 0 A. The dominant equilibrium is that Joe and Bob both serve 2 years O B. If Joe does not confess, Bob should not confess ° C. If Joe confesses, Bob should not confess 0 D. If Bob confesses, Joe should confess

Explanation / Answer

Answer

Option D

The dominant strategy is played by a player instead of any strategy by the opponent.

Here, if Joe plays Confess then Bob play Confess because he will get lower time of jail

10<20

if Joe play don't confess then Bob confess

1<2

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if Bob confess then Joe Confess

10<20

if Bob don't confess then Joe confess

1<2

so, in any case, both will confess so it is a dominant strategy for both

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