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April 7th, 2014, 01:08 PM  #1 
Newbie Joined: Apr 2014 From: xxx Posts: 1 Thanks: 0  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. Last edited by ice12; April 7th, 2014 at 01:33 PM. 

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