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Unread 29 May 2003, 14:12   #36
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#5 would say yes to 1k because it's more than he's going to get if it gets down to #4

#4 wouldn't say yes to anything but 100k, unless he thought that he would be outvoted and would therefore end up with nothing. However, if he is outvoted and has something allocated to him even if he is outvoted he gets the money so there is no risk for him to vote against everything except 100k for himself, so he should always recieve 0?

#3 Can't allocate himself 100k because he would be outvoted by #4 and #5, however, if he allocated himself 99k and 1k to #5 they would outnumber #4 so the most he can expect is 99k.

#2 Also cannot allocate himself 100k, because he would be outvoted, he could allocate himself 99k and #5 1k as this would force a tie, so he is also unlikey to accept below 99k

#1 assuming he can vote for himself, shouldn't care how much he gets, so he would get 0k

I'd guess something along the lines of:

#1: 0k
#2: 0k
#3: 99k
#4: 0k
#5: 1k

Assuming he can vote for himself, this would give him a majority, as #3 can never expect to get more than 99k, and #5 cannot risk it getting down to #4, as he would end up getting 0k. 1/3/5 = 3/5 = majority?
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