4. Consider the job market signaling game given the figure below. The worker has two types: H and L, and q is the probability associated with type H. The production functions and indifference curves are as shown in the figure. In a pooling Perfect Bayesian Equilibrium of this game, the range of values possible for equilibrium level of education, epool is (with an appropriate set of beliefs):

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.10P
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4. Consider the job market signaling game given the figure below. The worker
has two types: H and L, and q is the probability associated with type H. The
production functions and indifference curves are as shown in the figure. In a
pooling Perfect Bayesian Equilibrium of this game, the range of values possible
for equilibrium level of education, epool is (with an appropriate set of beliefs):
Transcribed Image Text:4. Consider the job market signaling game given the figure below. The worker has two types: H and L, and q is the probability associated with type H. The production functions and indifference curves are as shown in the figure. In a pooling Perfect Bayesian Equilibrium of this game, the range of values possible for equilibrium level of education, epool is (with an appropriate set of beliefs):
y(H, e)
wage
q.y(H, e)+
(1-q).y(L, e)
- Y(L, e)
e (L)
ei
e2
e3
education
(a) e, only.
(b) [e1, e3).
(c) [e1, ea.
(d) [e2, es].
Transcribed Image Text:y(H, e) wage q.y(H, e)+ (1-q).y(L, e) - Y(L, e) e (L) ei e2 e3 education (a) e, only. (b) [e1, e3). (c) [e1, ea. (d) [e2, es].
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