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Risk, Uncertainty and Information

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A firm hires a worker, and the worker chooses between two levels of effort (e), e=1 and e=4. Hiring the worker provides profits (s), and there are two possible levels of profits, s=40 and s=280. If e=1, the probabilities are 0.8 of s=40, and 0.2 of s=280. If e=4, the probabilities are 0.5of s=40 and 0.5 of s=280. The worker's utility function is:
U=w1/2 - e
Where w is the wage. The reservation level of utility is 6 ( the minimum level at which he or she will accept a contract from the firm). While effort is not observable, profits are. The firm is risk neutral and so maximizes expected profits net of wages.
(a) Find the firm's optimal wage schedule.
(b) What would happen if there were full information?

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Risk, Uncertainty and Information are correlated.

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Posting ID: 177715 Subject: Economics Topic: Microeconomics Level: Other
Credit Value: 20 Deadline: April 26, 2008, 8:24 pm
OTAs Restricted by Student: 105382, Cheryl Sedlacek, MS
Risk, Uncertainty and Information
Please note 3 things:
1- This question is Master's level, therefore, detalied answer is expected.
2- Don't forget when you mathemtically explain your answer to define each step you make.
3- If you assure me that you can answer the questions perfectly, then let me know so I can restrict the posting to you and your work will not be wasted.

A firm hires a worker, and the worker chooses between two levels of effort (e), e=1 and e=4. Hiring the worker provides profits (s), and there are two possible levels of profits, s=40 and s=280. If e=1, the probabilities are 0.8 of s=40, and 0.2 of s=280. If e=4, the probabilities are 0.5 of s=40 and 0.5 of s=280. The worker's utility function is: U = w1/2 - e
Where w is the wage. The reservation level of utility is 6 (the minimum level at which he or she will accept ...

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