# Game Theory: 3x3 payoff matrix

• Mar 21st 2010, 03:10 PM
firebio
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

• Mar 21st 2010, 07:03 PM
Ond
Which one do you think is the dominated strategy, and why?

Have you found all the Nash equilibrium?
• Mar 21st 2010, 07:41 PM
firebio
Quote:

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)