As @Soul says, turn it around. If you were selling something, and a buyer said, "would you be willing to take less?" you'd be an idiot to say yes. Offer less, if they are willing to accept it, they will. If not, they'll show their hand at what they are willing to accept, which could still be the asking price, but that usually has some wiggle room.
Well that's the point, you might take less if you thought it would sell. That's how I bought my current place - they needed to sell in a hurry and I was a ready to go. But I guess with no intel from an agent I'm flying blind on this one.
As @Soul says, turn it around. If you were selling something, and a buyer said, "would you be willing to take less?" you'd be an idiot to say yes. Offer less, if they are willing to accept it, they will. If not, they'll show their hand at what they are willing to accept, which could still be the asking price, but that usually has some wiggle room.