It's late and I'm tired but I think in the following situation -
49% vote Bush, 42% vote Gore, 9% vote Nader.
All Bush voters prefer Nader over Gore (unlikely!). All Nader voters prefer Gore over Bush. Half of Gore voters prefer Bush over Nader.
- If the election was Gore:Bush, Gore would win 51:49
- If the election was Bush:Nader, Bush would win 70:30
- If the election was Gore:Nader, Nader would win 42:58
The group prefers Gore over Bush (A over B) and Bush over Nader (B over C) but Nader over Gore (C over A).
49% vote Bush, 42% vote Gore, 9% vote Nader. All Bush voters prefer Nader over Gore (unlikely!). All Nader voters prefer Gore over Bush. Half of Gore voters prefer Bush over Nader.
The group prefers Gore over Bush (A over B) and Bush over Nader (B over C) but Nader over Gore (C over A).That's my reading anyway.