A person has an expected utility function of the form u(w) = w0.5 . He initially has wealth of $4. He has a lottery ticket that will be worth $12 with probability 1/2 and will be worth $0 with probability 1/2. What is his expected utility? What is the lowest price p at which he would part with the ticket?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.1P
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A person has an expected utility function of the form u(w) = w0.5 . He initially has wealth of $4. He has a lottery ticket that will be worth $12 with probability 1/2 and will be worth $0 with probability 1/2. What is his expected utility? What is the lowest price p at which he would part with the ticket?

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