I'll tell my story, but I was the one doing the rejecting.
Built a semi-custom in south College Station in 2011. Company I worked for went bankrupt in 2012, and I found another job in The Woodlands. This was before the CS housing market went crazy, and I knew I was going to lose money, so I listed FSBO to try and control the hemorrhaging.
I bought the house for $240,500, so for fun, I listed it at $250k, which was actually cheaper than new builds by the same builder and with a similar floor plan.
Didn't get much traction at first, but I listed it in December, just before the holidays. A few weeks - maybe a month - went by, and I got a call from a guy and his wife who wanted to see it in person. We arranged a viewing, and he said "Oh, by the way, we have a realtor. Are you willing to pay her commission?" The FSBO listing already said that commission would be paid, but I confirmed.
Couple and their realtor come look at the house, and the realtor calls me back a few days later. Starts her pitch with a spiel about how the offer is "a little low" but I would be "saving so much money by not paying a seller's agent".
Then she offers me somewhere in the low $230s. Can't remember the exact number because I literally started laughing. I told her that was significantly less than what I'd paid for the house two years prior and comparable new builds were going for $250k+.
Not wanting to waste anyone's time, I point blank told her I'd take $245k. That was my best and final. She says she'll take that back to her clients.
A few days later, she calls me back. I was at work, and since my office wasn't ready, I was in a cubicle. She offers me something like $242k, and tries to justify it by saying she "knows I need to be out of the house." Which wasn't true at all - I was commuting to The Woodlands, and now that I was back on a payroll, there was no financial hardship to keeping the house.
I very firmly told her again that I would not accept anything less than $245k, and that if her clients wanted to pay less than that, then she should reduce her commission. Of course, her response to that was "Oh, no, I can't do that!" I honestly didn't expect to hear from them again. My new coworkers heard the whole conversation. I'm not sure if they were impressed or horrified.
She called back a few days later with an offer at $245k. While we were under contract, I had several other serious inquiries that probably would have paid $250k.
Maybe 9 months after I sold was when the market really took off, and similar houses on my street started going for over $300k. Those people got my house for a steal!