Suppose that a worker value jobs by both the wage rate and the workplace collegiality. The woker's utility is strictly increasing in the wage rate but strictly decreasing in the chance of being bullied in the workplace. The utility function of the worker is U = wª (1-), where a = 0.5, w is the wage rate and b is the probability that a worker is bullied in a workplace. Suppose for a typical job A, the chance of getting bullied is 0.01, and the wage rate is 100. Which of the following statements is correct? %3D If job B offer w = 121 and b = 0.04, the worker would prefer job B to job а. А If job B offer w = 144 and b = 0.09, the worker would prefer job B to job b. А If job B offer w = 80 and b = 0, the worker would prefer job B to job A С. If job B has bullying probablity b = 0.04, the worker is indifferent between job A and job B. Then, the compensating wage differential of job B is at least 25. d. If job B offer w = 80 and b = 0, the worker would be indifferent between job A and job B. e.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.9P
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Suppose that a worker value jobs by both the
wage rate and the workplace collegiality. The
woker's utility is strictly increasing in the wage
rate but strictly decreasing in the chance of
being bullied in the workplace. The utility
function of the worker is U = wa (1-), where a =
0.5, w is the wage rate and b is the probability
that a worker is bullied in a workplace. Suppose
for a typical job A, the chance of getting bullied
is 0.01, and the wage rate is 100. Which of the
following statements is correct?
If job B offer w = 121 and b = 0.04,
the worker would prefer job B to job
а.
A
If job B offer w = 144 and b = 0.09,
the worker would prefer job B to job
b.
A
If job B offer w = 80 and b = 0, the
worker would prefer job B to job A
С.
If job B has bullying probablity b =
0.04, the worker is indifferent
between job A and job B. Then, the
compensating wage differential of
job B is at least 25.
d.
е.
If job B offer w = 80 and b = 0, the
worker would be indifferent between
job A and job B.
Transcribed Image Text:Suppose that a worker value jobs by both the wage rate and the workplace collegiality. The woker's utility is strictly increasing in the wage rate but strictly decreasing in the chance of being bullied in the workplace. The utility function of the worker is U = wa (1-), where a = 0.5, w is the wage rate and b is the probability that a worker is bullied in a workplace. Suppose for a typical job A, the chance of getting bullied is 0.01, and the wage rate is 100. Which of the following statements is correct? If job B offer w = 121 and b = 0.04, the worker would prefer job B to job а. A If job B offer w = 144 and b = 0.09, the worker would prefer job B to job b. A If job B offer w = 80 and b = 0, the worker would prefer job B to job A С. If job B has bullying probablity b = 0.04, the worker is indifferent between job A and job B. Then, the compensating wage differential of job B is at least 25. d. е. If job B offer w = 80 and b = 0, the worker would be indifferent between job A and job B.
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