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z Medical Questions

Your Question
Consider a labour market where there are two types of jobs, good jobs and bad jobs. Good jobs pay a higher wage than bad jobs (wG > wB). The unemployment compensation is such that both types of jobs are preferred to unemployment.
Let
N : The fixed number of workers in an economy
u : The steady-state number unemployed
nG : The steady-state number employed in a good job
nB : The steady-state number in a bad job
λ : The probability per period a job offer is received by an unemployed worker
0.5: The probability an offer received is from a firm offering a good job (bad job).
δG : The probability per period a worker employed in a good job is made unemployed
δB : The probability per period a worker employed in a bad job is made unemployed
Assume δG > δB .
(a) [5 marks] Derive an expression for the steady-state number unemployed.
(b) [5 marks] Derive an expression for the steady-state number employed in bad jobs.
(c) [5 marks] Derive an expression for the steady-state number employed in good jobs.
Suppose now that there is an increase in the arrival rate of job offers to λ1 (λ1>λ). The increase in the arrival rate of offers makes unemployed workers more selective in accepting offers. So much so that they now reject bad job offers - preferring to wait for a good job offer.
(d) [5 marks] Derive an expression for the steady-state number unemployed when bad job offers are rejected.
(e) [5 marks] Derive an expression for the steady-state number employed when bad job offers are rejected.
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