skiena 2-52 top challenge
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continuing the 2-51 problem
Six pirates must divide $300 dollars among themselves. The division is to proceed
as follows. The senior pirate proposes a way to divide the money. Then the pirates
vote. If the senior pirate gets at least half the votes he wins, and that division
remains. If he doesn’t, he is killed and then the next senior-most pirate gets a
chance to do the division. Now you have to tell what will happen and why (i.e.
, how many pirates survive and how the division is done)? All the pirates are
intelligent and the first priority is to stay alive and the next priority is to get as
much money as possible.
Task
Reconsider the pirate problem above, where only one indivisible dollar is to be
divided. Who gets the dollar and how many are killed?