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!