[zaphod12]

I agree with almost everything you've said, but have to mention that Lime bike was entirely endorsed by White Plains - https://www.lohud.com/story/news/local/westchester/white-pla...

Not sure if they're winding up in other towns nearby (inevitable, I guess), but in this case the city was totally on board with them showing up!

[throwawaymath]

Yep, they end up as far south as the Bronx, and are pretty ubiquitous even in Yonkers. Curiously, I have not observed Lime bikes being strewn around haphazardly in White Plains. I would venture a guess that's because the company pays more attention to the city that explicitly sanctioned them.