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April 7th, 2014, 01:08 PM   #1
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Maximin strategy, Game theory

Give the nash equilibrium of the following two player zero sum game. The values given are the payoffs for player 1. Player 1 wants to maximise his strategy. I have attached the table of expected payoffs for player 1.

I was wondering am I right to say that there is no mixed strategy? I have tried it many times now.

To maximise player 1's payoff, the equations I get are:
max 12x+10y
subject to:
3x + 5y >= 0,
4x +3y >= 0,
5x + 2y >= 0
x+y=1
x>=0
y>=0

Solving this doesn't give a unique solution for x and y. Have I done something wrong?

Please can someone let me know.
Thank you.
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File Type: png Screen Shot 2014-04-07 at 22.01.27.png (11.2 KB, 2 views)

Last edited by ice12; April 7th, 2014 at 01:33 PM.
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