Most of us do sleep at 2;00am.
That should not be a problem. There is no need whatsoever to be there - at the computer - when the listing ends.
In fact, if you take a look around, you will notice a very small percentage of listings show bids entered in the last few minutes - very small indeed.
The eBay system is structured is such a way as an interested bidder places the bid at any time and the bid will be exercised by closing time.
If someone were to bid a higher price than your bid, it simply means that buyer was willing to pay more than you for the item. Being there to see the "action" at the last minute will not change the outcome.
