I take Second Chance offers when the winning bid is completely removed from the final price. Since this bid was in effect a fraud, I won't pay the increased bid increment even if it was my "max" bid. Just because I win an auction at my "max" bid doesn't mean I'm all that happy about it.
Last time this happened I got a set of rims $30.00 under my max bid when the fraud bid was removed completely. Thus paying a fair price for the rims, not my maximum price.