Did your buyer's broker provide you with any comparative properties for the home? That would give you an idea of the market value. In my area, I have seen many distressed properties that are located in good areas and are in good condition go under agreement very quickly lately sometimes with a lot of offers. I think that one of the selling strategies is to list it very low and create a bidding war.
It is impossible to know what will happen with this home especially without knowing all the details such as location, property features, and condition. In general though, it is really difficult to "ensure" that you will win any bid. Although, the higher you bid, the higher your chances.
If the home is located in a good area and has a really low asking price compared to other comparable properties, I wouldn't be surprised to see it go under agreement higher than the asking price.
My recommendation is to look at the comps, figure out what you are willing to pay for it, decide on an offer and see what happens. If you get it, great! If not, don't get discouraged as there are lots of other fish in the sea. Good luck!