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Jane and Bill are apprehended for a bank robbery
Jane and Bill are apprehended for a bank robbery. They are taken into separate rooms and questioned by the police about their involvement in the crime. The police tell them each that if they confess and turn the other person in, they will receive a lighter sentence. If they both confess, they will be each be sentenced to 30 years. If neither confesses, they will each receive a 20-year sentence. If only one confesses, the confessor will receive 15 years and the one who stayed silent will receive 35 years. This table e represents the choices available to Jane and BILL If Jane trusts Bill to stay silent, what should she do? If Jane thinks that Bill will confess. What should she do? Does Jane have a dominant strategy? Does Bill have a dominant strategy? A = Confess: B Stay Silent.(Each results entry lists Jane's sentence first in years), and Bill's sentence second.)
Jane ? A 30.30) (15.35) Bill B (35.15) (20,20) Table 10.7
Expert Solution
It is optimal for Jane to confess 15 years of jail terms rather than 20 years of jail. The dominant strategy for Jane is to confess. He should confess as it will yeild him a shorter term in jail even if he thinks Bill will confess. Bill's optimal strategy is to confess as well. To enforce cooperation is difficult even if it is preferred to remain silent for both of the prisoners. Both will have a tendency to deviate from their preferred outcome.
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