Find all Nash equilibria in pure strategies in the following non-zero-sum games. Describe the steps that you used in finding the equilibria.
a.
|
COLUMN
|
Left
|
Right
|
ROW
|
Up
|
2, 4
|
1, 0
|
Down
|
6, 5
|
4, 2
|
b.
|
COLUMN
|
Left
|
Right
|
R OW
|
Up
|
1, 1
|
0, 1
|
Down
|
1, 0
|
1, 1
|
c.
|
COLUMN
|
Left
|
Middle
|
Right
|
ROW
|
Up
|
0, 1
|
9,0
|
2, 3
|
Straight
|
5, 9
|
7, 3
|
1, 7
|
Down
|
7, 5
|
10, 10
|
3,5
|
d.
|
COLUMN
|
West
|
Center
|
East
|
ROW
|
North
|
2, 3
|
8, 2
|
1 0, 6
|
Up
|
3, 0
|
4, 5
|
6,4
|
Down
|
5, 4
|
6, 1
|
2, 5
|
South
|
4, 5
|
2, 3
|
5, 2
|