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#1 2011-05-16 17:53:39

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

5 Pirates Puzzles

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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#2 2011-05-19 08:58:45

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

Re: 5 Pirates Puzzles

Version 2 is the only one I looked at. 


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#3 2011-08-11 04:27:22

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

Re: 5 Pirates Puzzles

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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#4 2013-04-13 18:34:06

Nehushtan
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From: London
Registered: 2013-03-09
Posts: 611
Website

Re: 5 Pirates Puzzles

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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#5 2013-04-13 18:52:04

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

Re: 5 Pirates Puzzles

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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#6 2013-04-14 00:24:41

Nehushtan
Member
From: London
Registered: 2013-03-09
Posts: 611
Website

Re: 5 Pirates Puzzles

I’m glad the other thread was closed because it was totally pointless. I suggest this thread be closed as well.

[comment removed by administrator]


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#7 2013-04-14 00:27:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,739

Re: 5 Pirates Puzzles

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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