Consider the following simultaneous move game where player 1 has two types. Player 2 does not know if he is playing with type a player 1 or type b player 1. Player 2 C D Player 1 A 12,9 3,6 B 6,0 6,9 C D A 0,9 3,6 B 6,0 6,9 Type a Player 1 Prob = 2/3 Type b Player 1 Prob = 1/3 Find the all the possible Bayesian Nash Equilibriums (BNE) of this game.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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Consider the following simultaneous move game where player 1 has two types. Player 2 does not know if he is
playing with type a player 1 or type b player 1.
Player 2
C D
Player 1 A 12,9 3,6
B 6,0 6,9
C D
A 0,9 3,6
B 6,0 6,9
Type a Player 1
Prob = 2/3
Type b Player 1
Prob = 1/3
Find the all the possible Bayesian Nash Equilibriums (BNE) of this game.
Transcribed Image Text:Consider the following simultaneous move game where player 1 has two types. Player 2 does not know if he is playing with type a player 1 or type b player 1. Player 2 C D Player 1 A 12,9 3,6 B 6,0 6,9 C D A 0,9 3,6 B 6,0 6,9 Type a Player 1 Prob = 2/3 Type b Player 1 Prob = 1/3 Find the all the possible Bayesian Nash Equilibriums (BNE) of this game.
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