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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

I have made TWO versions of this puzzle (used to have just one).

One where the voting is done by all Pirates: 5 Pirates Puzzle

The other where the voting is done by all Pirates except the oldest: 5 Pirates Version 2 Puzzle

Have a go at the puzzles and let me know if you agree with the solution provided.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

Version 2 is the only one I looked at.

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**Aloe****Member**- Registered: 2011-08-11
- Posts: 1

Regarding the original problem (with all pirates voting):

It seems that Billy should split the loot 99:0:1:0 to ensure a vote of 50%. If he splits it 99:0:0:1 then Eddie has no motivation to vote for the split because he knows that he will get the same amount from Colin. But a split of 99:0:1:0 gives Duncan clear reason to vote yes.

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Hi.

Regarding this bit:

As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard.

I would suggest adding that if a pirate would get less coins by voting against a proposal, then he would not vote against it. This is just for greater clarification of the puzzle.

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**mathdad****Member**- Registered: 2013-04-13
- Posts: 21

MathsIsFun wrote:

I have made TWO versions of this puzzle (used to have just one).

One where the voting is done by all Pirates:

The other where the voting is done by all Pirates except the oldest:Have a go at the puzzles and let me know if you agree with the solution provided.

I gave this a go, and my proposed solutions is under another post titled:

"5 Pirates Solution is wrong - here is the real solution" created on 4-13-2013

Since I'm new, I don't know how to put a link to that post in this message.

But, I thought I would post this here since this post is what encouraged me to actually post my proposed solution on the forum.

I had to remove the links in the reply to get this posted.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,705

Hi;

Yes, I am going to follow MIF's lead and close this one too but surely you can see I can not leave your parting comment.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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