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Here's A Riddle To Think About  
User currently offlineRara From Germany, joined Jan 2007, 2123 posts, RR: 2
Posted (6 years 1 month 1 week 1 day 12 hours ago) and read 1475 times:

I hope you folks don't know it yet. It's an amusing little question my girlfriend asked me yesterday, so if you have some time to kill:

Five pirates have acquired 100 dubloons in a raid (damn, I'm four days too late, eh me hearty?). The captain is to decide how to distribute the booty. Of the four crew, 50% or more have to agree with his distribution - else they kill the captain, the next-highest ranking crew member becomes captain, and then he decides under the same conditions.
Rules: all pirates are very intelligent, egoistic profit-maximizers. They don't form alliances, it's each man for himself, and they are not compassionate.

Question: how many dubloons can the captain keep for himself without taking a risk to be killed?


My advise is, don't google it; chances are there are some solutions out there. The correct solution might be debatable. I have a version I'm quite convinced of, but I'm curious to hear yours!


Samson was a biblical tough guy, but his dad Samsonite was even more of a hard case.
9 replies: All unread, jump to last
 
User currently offlineN867DA From United States of America, joined May 2008, 1009 posts, RR: 0
Reply 1, posted (6 years 1 month 1 week 1 day 11 hours ago) and read 1463 times:

The captain kills the other pirates, keeps 100% and picks up a new batch of desperate people willing to make money by piracy?


A nation turns its lonely eyes to you
User currently offlineWunala From Australia, joined Mar 2005, 950 posts, RR: 0
Reply 2, posted (6 years 1 month 1 week 1 day 11 hours ago) and read 1457 times:

100, because they would all take turns at being captain, then get killed, hence the last captain with no crew will take the cash as there is noone to argue with him.

User currently offlineANITIX87 From United States of America, joined Mar 2005, 3308 posts, RR: 13
Reply 3, posted (6 years 1 month 1 week 1 day 7 hours ago) and read 1386 times:
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Quoting Wunala (Reply 2):
100, because they would all take turns at being captain, then get killed, hence the last captain with no crew will take the cash as there is noone to argue with him.

The question is how much the ORIGINAL captain can keep. Keeping 100 so that he gets killed seems kind of counter-intuitive to me, haha.

I don't have a good answer, though.

TIS



www.stellaryear.com: Canon EOS 50D, Canon EOS 5DMkII, Sigma 50mm 1.4, Canon 24-70 2.8L II, Canon 100mm 2.8L, Canon 100-4
User currently offlinePetertenthije From Netherlands, joined Jul 2001, 3379 posts, RR: 12
Reply 4, posted (6 years 1 month 1 week 1 day 6 hours ago) and read 1370 times:

The captain can get away with 58 dubloons.

Each pirate would get 20 dubloons if divived honestly. Give two pirates their share of 20 plus one dubloon as a bonus. The other two get nothing. Half the crew would be very happy with the deal having had a bonus. The other half would not be happy, but that is not a problem.



Attamottamotta!
User currently offlineDc9northwest From Switzerland, joined Feb 2007, 2299 posts, RR: 7
Reply 5, posted (6 years 1 month 1 week 1 day 3 hours ago) and read 1301 times:

Hmmm... I guess 34. But that's just me. He is the captain, so he deserves something more. Two others get 33, the others nothing. Depends. Might be 33 if the crew are being tightwads.

Any answer is technically ok, as we don't know the 'killing threshold'.


User currently offlineANITIX87 From United States of America, joined Mar 2005, 3308 posts, RR: 13
Reply 6, posted (6 years 1 month 1 week 1 day 2 hours ago) and read 1287 times:
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Quoting Petertenthije (Reply 4):
The captain can get away with 58 dubloons.

I like this answer.

TIS



www.stellaryear.com: Canon EOS 50D, Canon EOS 5DMkII, Sigma 50mm 1.4, Canon 24-70 2.8L II, Canon 100mm 2.8L, Canon 100-4
User currently offlineNicoEDDF From Germany, joined Jan 2008, 1101 posts, RR: 1
Reply 7, posted (6 years 1 month 1 week 1 day 2 hours ago) and read 1282 times:



Quoting Petertenthije (Reply 4):

Each pirate would get 20 dubloons if divived honestly. Give two pirates their share of 20 plus one dubloon as a bonus. The other two get nothing. Half the crew would be very happy with the deal having had a bonus. The other half would not be happy, but that is not a problem.

Yep, but with that logic he could also take 98 and give one each to two pirates. They would be happy to get something and vote for yes, the others don't count.


User currently offlineNoUFO From Germany, joined Apr 2001, 7961 posts, RR: 12
Reply 8, posted (6 years 1 month 1 week 1 day 1 hour ago) and read 1262 times:

34

The Captain can safely ignore 2 of the pirates, so pirates 4 and 5 receive nothing. The Captain now needs to evenly distribute the 100 dubloons among him and pirates 2 and 3. That would be 33 for each plus the last remaining for the Captain.

IF the pirates would kill the Captain, pirate 2 would become Captain and could safely ignore only one pirate, and would still have to distribute 100 dubloons among three pirates, so the result would be the same. Hence there's no use in killing the incumbent in order to receive a higher share.

EDIT: Make that 32. The Captain can not keep the excess dubloon. This and another one would have to go to pirates 2 and 3.

Captain: 32
Pirate 2: 34
Pirate 3: 34
Pirate 4: 0
Pirate 5: 0

[Edited 2008-09-23 16:16:01]


I support the right to arm bears
User currently offlineRara From Germany, joined Jan 2007, 2123 posts, RR: 2
Reply 9, posted (6 years 1 month 1 week 12 hours ago) and read 1179 times:



Quoting Dc9northwest (Reply 5):

Any answer is technically ok, as we don't know the 'killing threshold'.

But we know that all pirates are rational and even though they want to have as much money as possible, above all they don't want to get killed..



Samson was a biblical tough guy, but his dad Samsonite was even more of a hard case.
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