Mike is the proud owner of Prospect X, which he values at $10 (so, for Mike, CE(X) = $10). If EV(X) = $12, what is the most you can say about Mike's risk preferences and/or his utility of wealth function? (Select all that apply) O Mike's utility of wealth function must be concave. O Mike must be risk averse. O For Mike, it must be the case that U(EVIX) > $10. O IF Mike had to choose between Prospect X and receiving $9 with certainty, he would choose the $9.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.7P
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Mike is the proud owner of Prospect X, which he values at $10 (so, for Mike, CE(X) = $10).
If EV(X) = $12, what is the most you can say about Mike's risk preferences and/or his utility of wealth function?
(Select all that apply)
O Mike's utility of wealth function must be concave.
O Mike must be risk averse.
O For Mike, it must be the case that U(EV(X) > $10.
O If Mike had to choose between Prospect X and receiving $9 with certainty, he would choose the $9.
Transcribed Image Text:Mike is the proud owner of Prospect X, which he values at $10 (so, for Mike, CE(X) = $10). If EV(X) = $12, what is the most you can say about Mike's risk preferences and/or his utility of wealth function? (Select all that apply) O Mike's utility of wealth function must be concave. O Mike must be risk averse. O For Mike, it must be the case that U(EV(X) > $10. O If Mike had to choose between Prospect X and receiving $9 with certainty, he would choose the $9.
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