A home priced above comparable recently sold homes generally leaves more room to negotiate down, while one priced realistically against them may draw competing offers and little room at all, so the room available is really a function of the seller's pricing decision.
Offer certainty affects room too. A first-time buyer offering a larger deposit, a flexible possession date and fewer conditions can sometimes negotiate on price precisely because the seller is weighing certainty against dollars, not price alone.
Joel Dyck pulls the real comparable sales for a North Park listing before a first-time buyer decides how hard to push. Get your hand-reviewed valuation from Joel Dyck.