Given A 3x3 payoff matrix:

----L---- M---- R ----

T (4,2): (1,1): (0,0)

M (2,0): (-1,5): (5,-1)

B (3,0): (2,2): (3,1)

1. Find a dominanted strategies for both players.

2. Eliminated the dominated strategies, find all Nash equilibrium in pure strategy.

3. Then argue that there is no mixed strategy

1. I cant really find a dominated strategy for each player.... but i think there is one...

3. Not sure how to assign probability to a 3x3 matrix...

Any help would be appreciated

thanks in advance