17 Feb '12 07:54>
Seven mathematicians have found out that it doesn't really pay well to be a mathematician, and decided to become highwaymen instead. To stay true to the ideology of their new line of work they all pledge to make all decisions according to honesty, seniority, and self-interest. That policy becomes a problem when they try to decide how to divide the loot they got, 5,040 coins of gold, as fairness is not a part of their new creed.
Finally, they decide to follow the process of
1. The most senior member group member alive proposes how to divide the loot.
2. Everybody else votes on whether they accept the vote or not.
3a. If aye's win, the division holds.
3b. If nay's win, the member who made the proposal is shot, with his or her share of the gold buried with him or her as the living mathematicians will feel bad about having shot one of their own.
How will the coins end up divided, who lives and who dies if a draw in the vote to be a. a successful division or b. a reason to shoot the person who proposed it?
Finally, they decide to follow the process of
1. The most senior member group member alive proposes how to divide the loot.
2. Everybody else votes on whether they accept the vote or not.
3a. If aye's win, the division holds.
3b. If nay's win, the member who made the proposal is shot, with his or her share of the gold buried with him or her as the living mathematicians will feel bad about having shot one of their own.
How will the coins end up divided, who lives and who dies if a draw in the vote to be a. a successful division or b. a reason to shoot the person who proposed it?