So they can start off trying to negotiate you down from your max, or up you can spend your time trying to negotiate them up from their min.
For something like salary negotiation where results are more well-bounded and there is a lot more commoditization (ie replacements are relatively easy to find, or are perceived to be relatively easy to find), you generally don't want to anchor. An anchor that's way out of whack is easy to shoot down (show comp data). Anchoring slightly high/low doesn't buy you much as there is no real anchor... you're just in the established/known range... and so it's more valuable to see where the counterparty starts off an dplay from there.
There are unique situations / exceptions of course. For example, you might have uniquely valuable skills for a given company (or be able to convince them you do) and therefore move into a less-bounded zone of negotiation, in which making the ask/establishing the anchor would again be a good idea. But for a normal, well-established position, there is literally no benefit in "anchoring" as the bounded range is already fairly well established and that is the anchor.
They said "okay". No negotiation, no fireworks, nothing. I've always wondered what I could have gotten out of them.
This problem is usually because people just set their starting price too low, or aren't firm enough on it. One tactic(I haven't used yet, but I'll try the next time I apply to a job) is ask the hiring manager how selective they are. Many time they'll brag about how hard it is to join their company. They'll say things like "We only accept 1 in 10 developers". Boom now they just admitted that if they were paying fair market value their offer should be about $153k :). [0] This is a great place to start a salary negotiation. Also glassdoor is a good place to find information for where to start a salary negotiation as well.
[0] 80% of devs get paid between $57k(10th %) and $153k(90th %).