Thread: Logic/Game Theory Question
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Unread 29 May 2003, 15:19   #51
pablissimo
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Quote:
Originally posted by W
It makes a difference whether the players accept "don't matter" votes, and whether the proposers can rely on it. Would someone accept $1 from #1, if they know they're gonna get $1 from someone else? Would #1 rely on someone accepting $1 from him instead of one of the later players? If yes to both:

If it gets down to #4, he gets all, so #5 can't let that happen. He will accept ANY offer #3 makes, and as such #3 will always propose 100-0-0 and get it. Thus #4 and #5 know that if it gets down to #3, they get nothing, and as such will accept any offer #2 makes. #2 will thus always propose 100-0-0-0 and get it. So #3 #4 and #5 all know that they'll get nothing no matter what. #1 can safely propose 100-0-0-0-0 and be sure to get it.
#2 can't propose 100-0-0-0 because #3 won't accept (obviously), #4 doesn't need to because if it gets to him he can claim all 100, and #5 won't because there's still a good chance #3 will offer something better (which he'll have to because he's not going to get #4's vote)

Edit:
That and there's no reason for anybody to accept #1's 100-0-0-0-0
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Last edited by pablissimo; 29 May 2003 at 15:26.
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