The prisoners dilemma game is one of the most important models in all of social science: Most
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If the police had more evidence, they could put the men away for longer. To get more evidence, they put the men in separate interrogation rooms and offer each man the same deal: If you testify against your accomplice, we will drop all the charges against you (and convict the other guy of the full penalty of 10 years of prison time). Of course, if both prisoners take the deal the police will have enough evidence to put both prisoners away and they will each get 6 years each. And, as noted, if neither testifies both will get just one year of prison time. What€™s the best thing for each man to do?
In each cell in the following table, the first number is the number of years Butch will spend in prison, and the second is the number that Sundance will spend in prison given the strategies chosen by Butch and Sundance. If years in prison are minuses, then we can write it like this:
a. If Sundance keeps quiet, what€™s the best choice (highest payoff) for Butch, keep quiet or testify?
b. If Sundance chooses to testify, what€™s the best choice for Butch, keep quiet or testify?
c. What€™s the best choice for Butch? What€™s the best choice for Sundance?
d. Using the definition in the chapter, does Butch have a €œdominant strategy€? If so, what is it?
e. What is your prediction about what will happen?
f. How does this help explain why the police never put two suspects in the same interrogation room?
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