I won't rebid. I don't think that was very nice, I stayed up until 2AM waiting for it to close and it didn't!
You need to read the rules. This is not like eBay.
"The unofficial auction period is noted on the home page. At the end of this period, if the leading bidder has changed any time during the final day, that lot will remain open for an additional day. This will continue until the leading bidder has retained the lead at least one full day. The purpose of this rule is to give the penultimate bidder a reasonable time to counter-offer, and thus to discourage poaching