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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.

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# Game Theory ( 2 player zero-sum game)

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