Testwiki:Reference desk/Archives/Mathematics/2013 March 10

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March 10

Game theory assignment

Hi, I'm stuck with one of the assignements in my strategic studies class. I don't know what the teaching assistant means by 'what about the other?' If that's indeed what he was trying to say. Scanned document in question: http://oi50.tinypic.com/sob7gh.jpg — Preceding unsigned comment added by 24.201.128.254 (talk) 23:22, 10 March 2013 (UTC)

I'm not sure what the comment means, but you've made mistakes in setting up your equations. Suppose the Greeks go left with probability x. Then if the Macedonians go left, the Greeks receive payout $2x+4(1-x)$, and if the Macedonians go right, the Greeks receive payout $3x+(1-x)$. Similarly, if the Macedonians go left with probability y, then if the Greeks go left, the Macedonians receive payout $3y+2(1-y)$, and if the Greeks go right, the Macedonians receive payout $y+4(1-y)$. Now you can solve for x and y.--80.109.106.49 (talk) 02:48, 11 March 2013 (UTC)