Have your agent pull sales in the city for the last 6 months, they can get it as a CSV. Then open that in excel and look at Sales Price / List Price for all the properties. That will give you a feel of what type of low balls are working.

Sales Price / Original List Price gives you an idea of how well people are pricing their properties.

Generally speaking, median priced homes go for around list (many REOs go for 103-105% of list because the buyers are rolling closing costs into the loans) because that is where all the demand is.

If you think of a bell curve it is usually the margins where the big price breaks off list happen. But I would say any bank owned home on market over 60-90 days is more likely to be lowballed. But usually (not always) they are pretty responsive to the market because they do BPOs and just match price at or under the market price reported by the BPOs.