If I really want a player, the only time I bid at the last second is on the first knock out round (not inital). The reason I'm doing that is because if someone bidded against me in the last minute of the initial round, he may think I bid a while ago and now I'm offline. So I wait until the very end to catch him off guard. After that though, I bid right away in each knock out round, like I'm saying, "I'm here to spend tokens mate" and try to scare him away