2. Consider two players playing a simultaneous moves game. These players can be one of the two states of the world, state 1 or state 2, while playing the game. The payoffs-matrix for the two state games are as follows: State 1 L P1 U D P2 M State 2 L P1 U D P2 R 1,4 1,0 1,6 2,16 0,0 0,24 Each players believes that the two states are equally likely. Derive the BNE of the game. M R 1,0 0,0 1,4 1,6 2,16 0,24

Microeconomic Theory
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ISBN:9781337517942
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Chapter8: Game Theory
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Problem 8.7P
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2. Consider two players playing a simultaneous moves game. These players can be one of the two
states of the world, state 1 or state 2, while playing the game. The payoffs-matrix for the two
state games are as follows:
State 1
P1 U
D
P2
L
R
1,4
1,0
1,6
2,16 0,0 0,24
M
State 2
P1 U
D
P2
L
M
R
1,0
1,4 1,6
2,16 0,24 0,0
Each players believes that the two states are equally likely, Derive the BNE of the game.
Transcribed Image Text:2. Consider two players playing a simultaneous moves game. These players can be one of the two states of the world, state 1 or state 2, while playing the game. The payoffs-matrix for the two state games are as follows: State 1 P1 U D P2 L R 1,4 1,0 1,6 2,16 0,0 0,24 M State 2 P1 U D P2 L M R 1,0 1,4 1,6 2,16 0,24 0,0 Each players believes that the two states are equally likely, Derive the BNE of the game.
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