You bid late in the 2nd round for two reasons. First is if your opponent hasn't bid, (and had the highest bid in the previous round) you may win by being the only bid. Second, the later bid will be high and will win if no one bids in the next round. Many owners aren't interested in a long auction (it burns tokens), especially if the player isn't particularly unique. If your opponent has already bid in the 2nd round, there is nothing to be gained by waiting if you plan to proceed. How many rounds are you willing to go? Most of my roster is filled in uncontested auctions.