Unless all the cities around the world get together and ban AirBnB, it's not going to work. Cities haven't been that successful banning Uber.
Well, a decent number have been successful at banning AirBnB, so it's a start!
You don't even have to ban them--you just have to pass legislation that forces them to adhere to laws that don't bankrupt their city, just so that they can have the "right to run their business," which is obviously a stupid defense of a company (not saying you made that argument).
This has happened to Uber all over the world already, and they are limping through...but of course their stock price has suffered after their IPO. I think Uber will be fine (they are probably best in line for the automated transit service platform, either as a partner with someone like Tesla...or somehow being bought up by Tesla--the assumption that their platform would "win the automation race" is the only reason their valuation was through the roof while private, and that seems not so confident these days)
..but I don't think AirBnB is as fluid as Uber or Lyft. They survive only by virtue that users exploit the end-around to tax liability. Force them to adhere if they want to offer service in town, and with any luck, they just go out of business when they can't afford to operate under such unambiguously fair laws.
I still haven't heard anyone defend the notion that billionaire rental conglomerates should continue to be able to freely use this platform in order to leech tax revenue, destroy cities, all to add another couple billions in ill-begotten revenue to their already, apparently "not enough" billions in annual revenues. ...this is basically what AirBnB is, what its future is, and why you salivate at the IPO, and you know it. I don't think it's any kind of platform to admire.