100 Gold Coins
Five pirates have obtained 100 gold coins and have to divide
up the loot. The pirates are all extremely intelligent,
treacherous and selfish (especially the captain).
The captain always proposes a distribution of the loot. All
pirates vote on the proposal, and if half the crew or more
go "Aye", the loot is divided as proposed, as no pirate
would be willing to take on the captain without superior
force on their side.
If the captain fails to obtain support of at least half his
crew (which includes himself), he faces a mutiny, and all
pirates will turn against him and make him walk the plank.
The pirates start over again with the next senior pirate as
captain.
What is the maximum number of coins the captain can keep
without risking his life?
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Answer Posted / chung
@Jagdeep: I start the game from 2 pirate - that means
pirates in senior level 5,4,3 are dead. It's my supposion
to start the game from an esier game :) If following this
supposion, certainly the captain (the number 2 in senior
level rank) will take all because he vote for himself -
that means 50%. Note in the question: "If the captain fails
to obtain support of at least half his crew (which includes
himself)"
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