5 Simultaneous Games with 2 Players and 2 Actions
David Ronayne
21 November 2011
Ok guys, once you have digested the material on simultaneous move games, try to solve each of
the following questions for each of the games below. Once done, if you want to check your
answers, please see me in my office hour.
(i) Perform iterated elimination of strictly dominated strategies on the game. What has doing
this told you?
(ii) What are the rationalisable outcomes? (You should know all these questions are
inter-related)
(iii) Find all the pure NE using the underlining technique
(iv) Find all the mixed NE
Game 1
Player 2
Player 1
U
D
L
2,2
1,1
U
D
L
1,1
2,-1
R
0,1
1,3
Game 2
Player 2
Player 1
R
-1,2
0,0
Game 3
Player 2
Player 1
U
D
L
5,0
0,5
R
0,3
3,0
1
Game 4 - A little tricky
Player 2
Player 1
U
D
L
1,0
1,-1
R
1,0
2,2
Game 5 - Hard
Player 2
Player 1
U
D
L
2,0
1,-1
R
0,0
1,2
2