From experience, yes. Not so long ago sold a domain to a buyer for just less than 10x what they initially offered.
Businesses and investors want to get as much as they can for their money, and want to convince you your domain is not worth what you're asking for it (where as you are trying to do the opposite with them), and they also want to test how in need of the money you are.
I think it's just about impossible to tell what a buyer's really up to, as they're all different personalities. One buyer will offer a price and mean it (i.e. it's what they're willing to pay, or very close to it), the more savvy are not in a hurry, and try and test your resolve before offering more. Sometimes significantly more.
AA.