1.) Consider 3x3 game given by the following matrix
|
P2
|
|
L
|
M
|
R
|
|
P1
|
U
|
7,6
|
3,0
|
6,5
|
|
C
|
1,3
|
4,4
|
0,2
|
|
D
|
8,7
|
2,1
|
5,8
|
a) Does IESDS reduce the game? Does it reduce it to a single pair of strategies? Why or why not?
b) Does Nash equilibrium exist? If yes find it.
c) What can you conclude from a) and b)?
d) Can this situation occur in 2x2 games? Justify?