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The Drunkard's Walk, How Randomnes Rules Out Lives, by Leonard Mlodinow

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hangchoi:
I think E will say NO to every suggestion unless he got quite a lot of it......because he will not die anyway (Just opposite to Kido's assumption) but, as all A, B, C, D know that, they will not give him any. E will ban all D's proposal in order to get the most.

C will be killed when D says NO (in principle), but if D really says NO, C will be killed and D will get nothing, so C may seek for majority i.e. C ~ 100%, D>0, E=0%

B, knowing that he will die if any two of C, D and E say NO, so he will have to make a proposal that any two of C, D and E would accept, It is clear that C would say NO anyway and B has to get the vote from both D and E to survive. If B dies, E must get nothing, so B has to offer E a little bit to make him say YES. So B~99%, D > 0%, E > 0%

A needs two votes only and notes that both D and E will get a bit even if he is killed, can offer them a bit more and keep the majority. So A ~ 99%, D > 0% and E > 0%

After I have finished writing the above, I check that my answer is quite like Kido's......but I have different view from yours.

1) E will not die in any case....Yes. He will accept whenever the offer is > 0, I think it is right too. He will absolutely get nothing if C makes proposal. So whenever A or B makes a proposal that he will have some share, he will say Yes.

2) The votes from D and E matter much. These two votes are the votes that A or B has to get in order to survive.

wongyan:
you guys never question how E execute D if vote is not >50%???

hangchoi:
What do you mean? If A, B and C are killed, E will ban D's proposal anyway because D will be killed after that and E will take all..

So D will alway let C's proposal pass no matter what C proposes.

wongyan:
yeah, you are right, hang.  E will reject any proposal from D.  But how can he execute D?  (隻抽？）

hangchoi:
假设这5个海盗都贪婪成性、残忍无比、绝顶聪明而又一诺千金，都想自己得到最多，都想看到别人死去而自己活。 <----that's the assumption.

So.....If E ban D's proposal, D will be 一诺千金 and let E kill him.......

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