A pirate ship captures a treasure of 1000 golden coins. The treasure has to be split among the 5 pirates: 1, 2, 3, 4, and 5 in order of rank. Assume the pirates are all perfect logicians, and they aim to maximise their own profit at any cost. They, being pirates, are also bloodthirsty — so if they can get the same profit and MORE deaths, they prefer to also maximise casualties. Starting with pirate 5 they can make a proposal to split the treasure. This proposal can either be accepted or the pirate is forced to walk the plank. A proposal is accepted if and only if a majority of the pirates agree on it — if there is a tie, the proposal fails. What proposal should pirate 5 make?
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