@Putin - Similar situation is a vote between candidates A,B,C,D and 99 voters.
34 vote A, then D, then no-one else
33 vote B, then D, then no-one else
32 vote C, then D, then no-one else
1st round: A:34, B:33, C:32, D:0
Thus D will be eliminated (and clearly A will go on to win), but D was the only person everyone said they'd be happy to have in power.