1. Big game For the following game find all Nash equilibria. Find the Utilitarian and Rawlsian outcomes Find at least three Pareto Optimal Outcomes

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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1. Big game
For the following game find all Nash equilibria.
Find the Utilitarian and Rawlsian outcomes
Find at least three Pareto Optimal Outcomes
C
3,-9
12,-11
4,-13
10,16
3,-9
12,11
1,-2
3,24
7,-10
0,9
0,21
-2,13
-6,-6
-2,7
8,10
2,1
2,-7
5,-27
2,12
0,50
1,-5
-1,-5
1,-14
3,-9
3,3
-2,-31
9,26
2,-21
-3,-6
6,17
-2,-30
-3,5
2,7
11,3
-3,16
3,-17
-2,-8
Q
4,26
3,-12
6,18
7,-2
1,32
9,-4
-4,-20
4,-7
2,13
2,-17
-2,-18
0,-5
T
-2,-53
-3,18
-2,15
U
-2,-4
-1,46
Transcribed Image Text:1. Big game For the following game find all Nash equilibria. Find the Utilitarian and Rawlsian outcomes Find at least three Pareto Optimal Outcomes C 3,-9 12,-11 4,-13 10,16 3,-9 12,11 1,-2 3,24 7,-10 0,9 0,21 -2,13 -6,-6 -2,7 8,10 2,1 2,-7 5,-27 2,12 0,50 1,-5 -1,-5 1,-14 3,-9 3,3 -2,-31 9,26 2,-21 -3,-6 6,17 -2,-30 -3,5 2,7 11,3 -3,16 3,-17 -2,-8 Q 4,26 3,-12 6,18 7,-2 1,32 9,-4 -4,-20 4,-7 2,13 2,-17 -2,-18 0,-5 T -2,-53 -3,18 -2,15 U -2,-4 -1,46
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