₂0.5 Wilfred's expected utility function is px0.5 + (1 − p)x2.5, where p is the probability that he consumes X₁ and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.2 and $5000 with probability 1 - p. • Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to (please round your final answer to two decimal places if necessary)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.8P
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Wilfred's expected utility function is pr0.5 + (1 − p)x2.5, where p is the probability that he
consumes X₁ and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between
getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.2 and
$5000 with probability 1 - p.
• Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is
equal to
(please round your final answer to two decimal places if necessary)
Transcribed Image Text:Wilfred's expected utility function is pr0.5 + (1 − p)x2.5, where p is the probability that he consumes X₁ and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.2 and $5000 with probability 1 - p. • Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to (please round your final answer to two decimal places if necessary)
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