# Math Help - Game Theory: 3x3 payoff matrix

1. ## Game Theory: 3x3 payoff matrix

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

2. Which one do you think is the dominated strategy, and why?

Have you found all the Nash equilibrium?

3. Originally Posted by Ond
Which one do you think is the dominated strategy, and why?

Have you found all the Nash equilibrium?

I cant seem to find the dominated strategy for this game...
Some hints would be nice

I only found 1 pure strategy Nash equilibrium (T,L)