I was in a small town in Maine that did that informally, there were a handful of shops and a ban at one store was applied everywhere. They all had signs warning about the policy. It was apparently very effective.

so if you shoplifted in a Nottingham Tesco’s, be prepared to be banned from Sainsbury’s in Swansea

This got a genuine chuckle from me, I love a bit of good writing in the wild!