1. Find all pure strategy Nash equilibria. 2. Find all strictly dominated strategies. 3. After removing all strictly dominated strategies, find all strictly dominated strategies in the game with the strategies you found in part b. eliminated. 4. Continue the process until you can no longer find any more (iteratively) undominated strategies.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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2. Consider the normal form game
a
b
с
d
e
f
9
h
A
B
C
E
F
1,0
2,1 1,0
1,1 2,2
0,1 3,2
0,1
0,0 0,1
0,10 0,3
10, 2
0,0 0,1
20,1 5,4
20,3
5,20 5,0
0,4
0,5 1,5
0, 10 1,0
4,6
15,5 4,7 5,6
10,5
100, 5
4,5
4,0 4,1
5,5 3,0 0,1
100,5 4,8 0,7 100,7 4,10 4,5
D
2,0
0,1
0,2
5,3
1, 10
1. Find all pure strategy Nash equilibria.
2. Find all strictly dominated strategies.
3. After removing all strictly dominated strategies, find all strictly dominated strategies in the game
with the strategies you found in part b. eliminated.
4. Continue the process until you can no longer find any more (iteratively) undominated strategies.
Transcribed Image Text:2. Consider the normal form game a b с d e f 9 h A B C E F 1,0 2,1 1,0 1,1 2,2 0,1 3,2 0,1 0,0 0,1 0,10 0,3 10, 2 0,0 0,1 20,1 5,4 20,3 5,20 5,0 0,4 0,5 1,5 0, 10 1,0 4,6 15,5 4,7 5,6 10,5 100, 5 4,5 4,0 4,1 5,5 3,0 0,1 100,5 4,8 0,7 100,7 4,10 4,5 D 2,0 0,1 0,2 5,3 1, 10 1. Find all pure strategy Nash equilibria. 2. Find all strictly dominated strategies. 3. After removing all strictly dominated strategies, find all strictly dominated strategies in the game with the strategies you found in part b. eliminated. 4. Continue the process until you can no longer find any more (iteratively) undominated strategies.
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