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#1 2011-05-17 15:53:39

MathsIsFun
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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
 

#2 2011-05-20 06:58:45

John E. Franklin
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Re: 5 Pirates Puzzles

Version 2 is the only one I looked at. 


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#3 2011-08-12 02:27:22

Aloe
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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.

 

#4 2013-04-14 16:34:06

Nehushtan
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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 2013-04-14 16:52:04

mathdad
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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.

 

#6 2013-04-14 22:24:41

Nehushtan
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Re: 5 Pirates Puzzles

Im 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 22:27:40

bobbym
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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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