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Math Help - Game Theory: 3x3 payoff matrix

  1. #1
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    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
    Last edited by firebio; March 21st 2010 at 07:38 PM.
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  2. #2
    Ond
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    Which one do you think is the dominated strategy, and why?

    Have you found all the Nash equilibrium?
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  3. #3
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    Quote Originally Posted by Ond View Post
    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)
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