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

MathsIsFun
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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
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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: 612
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: 612
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: 85,210

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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