I can't find the answer to my question on their website.
If I enter a slightly higher bid and become the "high bidder" for the moment, can I still go back and enter a Proxy Bid for a higher amount LATER if I am still the High Bidder?
I know that it works this way on eBay, but its not clear on this Drop Catcher's site.
There benefit of "proxy bidding" (system bidding) is that the system automatically keeps increasing your "made bid" as others bid up the price, until your max bid is exceeded. Then you have to increase your max bid once more to stay in the automated system or otherwise keep in the live bidding.
The trick is you always check in in the final minutes of bidding if it's a domain of great interest.
Of course, the final determination of exactly "how things work" depends on the actual terms of service of the auction site - so read them carefully and run questions past the support email of the auction operator.