10. The figure below indicates the production functions and indifference curves in a job market signaling game. The worker has two type, High and Low ability. The receiver is a perfectly competitive market whose profits are driven to zero in equilibrium. Denote the education level choices by the High type by en and the Low type by er. Let e (L) and e* (H) be the equilibrium levels of education chosen by the Low type and the High type, respectively, in the full information case. In a separating Perfect Bayesian Equilibrium of this game

Microeconomic Theory
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Chapter8: Game Theory
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10. The figure below indicates the production functions and indifference curves in
a job market signaling game. The worker has two type, High and Low ability.
The receiver is a perfectly competitive market whose profits are driven to zero
in equilibrium. Denote the education level choices by the High type by ey and
the Low type by er. Let e* (L) and e* (H) be the equilibrium levels of education
chosen by the Low type and the High type, respectively, in the full information
case. In a separating Perfect Bayesian Equilibrium of this game
IH
y(H, e)
wage
y(L, e)
education
(a) eH = e*(H) and e, = e*(L).
(b) en > e*(H) and e, = e*(L).
(c) en = e*(H) and er > e*(L).
(d) eH < e*(H) and e, < e*(L).
000
DD
F4
F5
F6
E7
F8
F9
F
$
%
&
4
5
6
7
8
9
Transcribed Image Text:10. The figure below indicates the production functions and indifference curves in a job market signaling game. The worker has two type, High and Low ability. The receiver is a perfectly competitive market whose profits are driven to zero in equilibrium. Denote the education level choices by the High type by ey and the Low type by er. Let e* (L) and e* (H) be the equilibrium levels of education chosen by the Low type and the High type, respectively, in the full information case. In a separating Perfect Bayesian Equilibrium of this game IH y(H, e) wage y(L, e) education (a) eH = e*(H) and e, = e*(L). (b) en > e*(H) and e, = e*(L). (c) en = e*(H) and er > e*(L). (d) eH < e*(H) and e, < e*(L). 000 DD F4 F5 F6 E7 F8 F9 F $ % & 4 5 6 7 8 9
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