Question
(a) Consider the following version of Spence's signalling model. The productivity of a worker in a given job is . A worker can be of
(a) Consider the following version of Spence's signalling model. The productivity of a
worker in a given job is . A worker can be of high ability (z = 2) or low ability (z = 1),
with equal probability. Each worker chooses a level of education e 0. The total cost
of obtaining education level e is e2/z1/2. The worker's wage is equal to her expected
productivity.
(i) Find the the lowest education level supporting a separating perfect Bayesian
equilibrium. (7 marks)
(ii) Are high-ability workers (of type = 2) better off in the separating equilibrium
described in part (i) or in the pooling perfect Bayesian equilibrium in which no one
gets education? (3 marks)
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