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Game Theory ( 2 player zero-sum game)

  1. Feb 26, 2012 #1
    Hi

    I have just started a game theory module and have been given the following exercise. Can anyone help me with the following question. I have a feeling I can use a minimax argument to answer this but I am not sure how to go about this.

    Suppose a two-player zero-sum game has the following matrix:
    A =

    a b
    c d

    Suppose that (e1; e1) is an equilibrium solution. Suppose K a member of the ℝ is a constant. Show for the new game matrix:
    A0 =

    a + K b + K
    c + K d + K

    that (e1; e1) is still the equilibrium solution.
     
  2. jcsd
  3. Feb 26, 2012 #2
    if i let Suppose a two-player zero-sum game has the following matrix:

    A1 =

    a b
    c d

    then calculate e2TA1e1 = c

    Then if I let A2 =

    a+k b+k
    c+k d+k

    then e2TA2e1 = c+k

    but I have no idea if this is right or what to do next
     
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