What I think could/should happen is someone releasing an open-source version of Uber/Lyft and selling support for city governments to run city-owned ride-sharing services. If the Uber app only worked in the city I live, I wouldn't mind at all. It would also be no trouble to download the local ride-sharing app when visiting a new city.

This would be a win-win for many reasons, one of which would be that cities would keep the revenue from these services, or they could run it at cost and send more money to the drivers (thus stimulating the local economy and not VC valuations)