The common knowledge problem with the hats today assumes that everyone in the game is infinitely intelligent, i.e. they all play completely logically. This reminded me of another "infinitely intelligent" problem I heard once. It's about pirates.
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Five infinitely intelligent pirates steal a chest with 100 gold coins. Coins cannot be cut or otherwise divided. To divvy up the coins, they use this strategy: the oldest of the five purposes a distribution of the coins, then each votes. If more than half of them approve, they divvy up the coins and are done. Otherwise, the oldest is killed and the next oldest gets to purpose how to distribute the coins following the same rules.
What should the oldest purpose in order to get the most coins possible (or not die).
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There's another one about a camel and bananas, but I can't remember it all just now.
So the title of today's post is from a French song I never heard about a beautiful camel.
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