(a) Find a Perfect Bayesian equilibrium of the separating type ("separating equilibrium"). (b) Find a Perfect Bayesian equilibrium of the pooling type ("pooling equilibrium"). (c) Find an equilibrium in which a type of player 1 plays a (completely) mixed strategy. [Hint: show that it is optimal for one of the types to mix 2/3 D and 1/3 U.J

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Consider the following game:
0,0
1, 1
2, 1
0,0
P2
U
Pn = (0.4) Nature Pn (0.6)
U
P(t)
Pi(t2)
P2
2,0
3,1
3,1
1,0
(a) Find a Perfect Bayesian equilibrium of the separating type ("separating equilibrium").
(b) Find a Perfect Bayesian equilibrium of the pooling type ("pooling equilibrium").
(c) Find an equilibrium in which a type of player 1 plays a (completely) mixed strategy.
[Hint: show that it is optimal for one of the types to mix 2/3 D and 1/3 U.J
Transcribed Image Text:Consider the following game: 0,0 1, 1 2, 1 0,0 P2 U Pn = (0.4) Nature Pn (0.6) U P(t) Pi(t2) P2 2,0 3,1 3,1 1,0 (a) Find a Perfect Bayesian equilibrium of the separating type ("separating equilibrium"). (b) Find a Perfect Bayesian equilibrium of the pooling type ("pooling equilibrium"). (c) Find an equilibrium in which a type of player 1 plays a (completely) mixed strategy. [Hint: show that it is optimal for one of the types to mix 2/3 D and 1/3 U.J
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