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Prisoner's Dilemma

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Say you just got caught doing something illegal but the police don’t have evidence of your crime. Would you stay silent and spend a year in jail or confess and spend five years? Normally, this is an easy task but when there’s an accomplice involved the game changes. The lack of communication as well as the question of trust are factors that make choosing to stay silent or confess, difficult. In this paper, I will explain the prisoner’s dilemma and why staying silent is the best option that is beneficial to both the prisoner’s even though they are attempting to earn the least amount of time each.
The prisoner’s dilemma is a game theory in which two men are caught drug running and are imprisoned in different cells unable to communicate. They each have their own lawyer and both are confronted with the choices to stay silent or to confess. They are told that if they both choose to stay silent, then they will each serve one year with a lesser offense of possessing dangerous weapons due to no evidence of the major crime. If one confesses and the other stays silent then the one that confesses will be freed for turning in evidence and the other will be imprisoned for 10 years as well as be charged for the major crime. If they both confess, they will both serve 5 years. They both want to serve the least amount of time for their crime and are both rational. There is no opportunity to change the decision after it has been made and neither of them knows what decision the other will make. This dilemma is a type of dominance principle, where the best plan will gain the prisoner a larger benefit or payoff than the other strategies with the least amount of risk. In this case, the payoff would be the time spent in prison; the less time in prison, the larger the payoff is.
With this theory, the most, rational decision would be to stay silent. This is the best decision because both prisoners are equally rational and want to spend the least time in prison. They will, therefore, deduce that staying silent will be the best rational decision since they will both be in prison for only one year as well as be charged for the lesser crime of possessing dangerous weapons. If they both choose to confess, they will be both worse off

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