Q4: Consider the following game.
Player 2
x y
a 3, 4 7, 0
Player 1 b 9, 3 4, 4
c 0, 1 8, 2
(a) Is strategy a dominated by strategy \sigma 1 = 1
3
b + 2
3
c?
(i) Yes
(ii) No
(b)* Is strategy a a dominated strategy?
(i) Yes
(ii) No
(c)* Is strategy a a best response to some belief?
(i) Yes
(ii) No
(d) Is strategy a a best response if player 1 believes that player 2 will play \sigma 2 =
2
3
x + 1
3
y?
(i) Yes
(ii) No