I strongly disagree with the first offer remark. Generally most negotiations start with some sort of frame, but it can be vague. Consider a salary negotiation for a entry-level software engineering position. Both parties know generally what the range could be. In Arizona, it is roughly $40k to $100k. That's a fairly big range. The first offer always narrows this range. If the applicant said he was looking for at least $50k, then the employer would magically be right inline with that (assuming their willingness was at least that) when they may have well had an expected range of up to $80k.
If the first offer is wildly favorable for the receiving party, you generally hear "that's about what I was thinking too." I've used that phrase plenty of times when in reality I was thinking a fraction of what they said.