Wilfred's expected utility function is pä0.5 + (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

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.5P
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0.5
Wilfred's expected utility function is px5 + (1– p)x³, 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.
%3D
• 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:0.5 Wilfred's expected utility function is px5 + (1– p)x³, 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. %3D • 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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