A. Time consistent. B. Time inconsistent but naïve. C. Time inconsistent but sophisticated. (Hint: write out all possible choices and calculate utility overall possible choices)

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Question 3: Suppose that life has three periods: youth, middle age, and old age. In every period
you decide whether to do drugs (“hit”) or not ("refrain"). The utility of hitting depends on
whether you are addicted ("hooked") or not. If you are not hooked, the utility from hitting is 10 and the
utility from refraining is 0. If you are hooked, the utility from hitting is -8 and the utility from refraining is
-25. In youth, you are not hooked; after that, you are hooked just in case you hit in the preceding
period. Assume 8 = 1 and ẞ = 0.5. What do you do if you are:
A. Time consistent.
B. Time inconsistent but naïve.
C. Time inconsistent but sophisticated.
(Hint: write out all possible choices and calculate utility overall possible choices)
Transcribed Image Text:Question 3: Suppose that life has three periods: youth, middle age, and old age. In every period you decide whether to do drugs (“hit”) or not ("refrain"). The utility of hitting depends on whether you are addicted ("hooked") or not. If you are not hooked, the utility from hitting is 10 and the utility from refraining is 0. If you are hooked, the utility from hitting is -8 and the utility from refraining is -25. In youth, you are not hooked; after that, you are hooked just in case you hit in the preceding period. Assume 8 = 1 and ẞ = 0.5. What do you do if you are: A. Time consistent. B. Time inconsistent but naïve. C. Time inconsistent but sophisticated. (Hint: write out all possible choices and calculate utility overall possible choices)
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