once it happened worse to me, I specified my minimum acceptable price at the first contact, went trough three interviews, then they offered 87% of what I asked.
This works really well with a liquid market. It can be harder for people who are talented in specialized professions. My wife, for instance, is highly skilled in a very specialized skillset, but it's academic, and jobs that match her skills come up a few times a year in the whole state. Even though the applicant pool is small, the illiquidity means it's difficult to say you're going to someone else. Actually, I wonder to what extent markets with very specialized (and comparatively rare) talents are affected by this illiquidity as opposed to mere supply and demand?