In neither case did it work, however. We had a pretty firm (and, we believed, accurate) idea of the homes’ true values, and since neither case involved multiple bids, we were able to stick to our guns and didn’t go any higher.What was interesting in both cases was just how much stock the listing agents put in the Zestimate — and it wasn’t just negotiating bluster. They honestly thought that quoting a Zestimate would be a compelling closing argument, that somehow we would fold in the face of such overwhelming evidence.