1. Find all mixed strategy Nash Equilibria for the games below. How many Nash Equilibria do these games have (including both pure and mixed strategy)? Player 2 A) L Player 1 D 2,2 4,1 E 1,4 3,3 B) Player 2 y z a 4,0 2,1 3,2 Player 1 b 2,2 3,4 0,1 2,2 1,2 0,3 c) Player 3: A Player 2 y a 2,0,4 1,1,1 1,2,3, Player 1 3,2,3 0,1,0 2,1,3 1,0,2 0,0,3 3,1,1 Player 3: B Player 2 y a 2,0,3 4,1,2 1,2,2 Player 1 1,3,2 2,2,2 0,4,0 0,0,0 3,0,3 2,1,0

Microeconomic Theory
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ISBN:9781337517942
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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1. Find all mixed strategy Nash Equilibria for the games below. How many Nash Equilibria
do these games have (including both pure and mixed strategy)?
Player 2
A)
R
Player 1
2,2
4,1
E
1.4
3,3
B)
Player 2
X
y
a
4,0
2,1
3,2
Player 1
b
2,2
3,4
0,1
2,2
1,2
0,3
c)
Player 3: A
Player 2
X
y
a
2,0,4
1,1,1
1,2,3,
Player 1
3,2,3
0,1,0
2,1,3
b
1,0,2
0,0,3
3,1,1
Player 3: B
Player 2
X
y
2,0,3
4,1,2
1,2,2
a
Player 1
b
1,3,2
2,2,2
0,4,0
0,0,0
3,0,3
2,1,0
Transcribed Image Text:1. Find all mixed strategy Nash Equilibria for the games below. How many Nash Equilibria do these games have (including both pure and mixed strategy)? Player 2 A) R Player 1 2,2 4,1 E 1.4 3,3 B) Player 2 X y a 4,0 2,1 3,2 Player 1 b 2,2 3,4 0,1 2,2 1,2 0,3 c) Player 3: A Player 2 X y a 2,0,4 1,1,1 1,2,3, Player 1 3,2,3 0,1,0 2,1,3 b 1,0,2 0,0,3 3,1,1 Player 3: B Player 2 X y 2,0,3 4,1,2 1,2,2 a Player 1 b 1,3,2 2,2,2 0,4,0 0,0,0 3,0,3 2,1,0
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ISBN:
9781337517942
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NICHOLSON
Publisher:
Cengage