2. Christiaan can go hiking, or he can stay at home. Hiking would be fun if nothing bad happens, but there is a risk if he goes hiking that he will meet a bear (not fun) or get bitten by a snake (very not fun). Christiaan decides that if there is a 5% chance of meeting a bear and a 1% chance of getting bitten by a snake, he would prefer to go hiking rather than stay at home. However, if the chance of meeting a bear is 10% and the chance of a snake bite is 5%, then he definitely would rather stay at home. (a) Consider the utility function: U (stay home) = 25, U (hike no event) = 100, U (hike & snake -1000, U (hike & bear) = -200. Does this utility function represent Christiaan's pref- erences? Explain. (b) Suppose that the utility function in (a) does represent Christiaan's preferences. Would
2. Christiaan can go hiking, or he can stay at home. Hiking would be fun if nothing bad happens, but there is a risk if he goes hiking that he will meet a bear (not fun) or get bitten by a snake (very not fun). Christiaan decides that if there is a 5% chance of meeting a bear and a 1% chance of getting bitten by a snake, he would prefer to go hiking rather than stay at home. However, if the chance of meeting a bear is 10% and the chance of a snake bite is 5%, then he definitely would rather stay at home. (a) Consider the utility function: U (stay home) = 25, U (hike no event) = 100, U (hike & snake -1000, U (hike & bear) = -200. Does this utility function represent Christiaan's pref- erences? Explain. (b) Suppose that the utility function in (a) does represent Christiaan's preferences. Would
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:2. Christiaan can go hiking, or he can stay at home. Hiking would be fun if nothing bad happens,
but there is a risk if he goes hiking that he will meet a bear (not fun) or get bitten by a snake
(very not fun). Christiaan decides that if there is a 5% chance of meeting a bear and a 1%
chance of getting bitten by a snake, he would prefer to go hiking rather than stay at home.
However, if the chance of meeting a bear is 10% and the chance of a snake bite is 5%,
he definitely would rather stay at home.
then
(a) Consider the utility function: U (stay home) = 25, U (hike no event) = 100, U (hike & snake)
-1000, U (hike & bear) = -200. Does this utility function represent Christiaan's pref-
erences? Explain.
(b) Suppose that the utility function in (a) does represent Christiaan's preferences. Would
Christiaan prefer to hike or stay home if the probability of meeting a bear is 6% and the
probability of being bitten by a snake is 4%? Show your work.
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