Or some combination of $0, $50k, $50k maybe.
Assume our guy just wants into the school, he'd be happy taking no money, the other two take their $50k because it's the best offer they're going to get assuming no ties, giving three votes, majority, hurrah?
Edit:
So I'd guess
$0
$50k
$50k
$0
$0
Rationale:
Work backwards as DrNick did, four can't get a majority on his own and so we don't need to buy him off, three will have a majority automatically because four will have to play along if he wants any money, so we need his vote, as we do number 2... And screw five.
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