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45#
發表於 2003-7-15 01:21 PM
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the question clearly said that "has to be more than half agree"
if only 4 and 5 left
5 will refuse to any offer then 4 will die and 5 gets all 100 diamonds
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if 3,4,5 left
4 must agree to any offer since he will die if 3 dies, so 3 will say 100,0,0 and 4 gets no diamonds but gets to stay alive
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if 2,3,4,5 left
2 can stay alive if at least three people agrees including him. 3 will disagree since if 2 dies he will get all the diamonds. 4 gets no diamond when 2 dies so if 2 give him something 4 will agree. now for 5, if he disagrees and if 3 did pick 100,0,0 then he gets no diamond also. for 2, he will say 98,0,1,1.
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now 1,2,3,4,5
1 can say alive if at least three people agrees including him. 2 knows if 1 dies he can get most of the diamonds and 4 and 5 also know if 1 dies both can get a diamond, 3 will get nothing if 1 dies. therefore if 1 say 95,0,1,2,2. /// 1 will be safe for sure, he gets 4 votes. BUT to maximize, 1 can say 96,0,0,2,2 then he will get 3 votes a bit risky though
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my answer is 96,0,0,2,2 |
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