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I'm analyzing a melting pie like game the first player proposes a division of an amount of money.if second one accepts that the game is over and they'll devide it that way. But if he refuses ,then total amount shrinks to half and the first guy proposes a new devision and so on!
I know it's a zero sum game but when I've used backwards I see you should always choose between (2,2) and (2,0) and the first one is your payoff which one a gametheorist picks?
Can game theory explain which and why?
Thank you
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