(Oh! Or are you one of those denialists who thinks rent control isn't actually destructive, and prefers your own vision of reality to what the consensus among economists has to say about the matter? because if so I've got some people you should meet who don't believe climate scientists on global warming, or the medical establishment about things like homeopathy, and i think you can all be friends)
One scheme used in some European cities is to let the prices float freely, but kick in a subsidy for existing residents when rent in an area increases by more than a certain % of their salary, softening the impact of market shifts on neighborhood turnover. This of course has the impact of increasing prices for newcomers relative to a situation where such a subsidy didn't exist, because fewer existing residents will be forced out due to rent increases, thereby freeing up fewer empty apartments for newcomers to rent. But that's the goal of the program, to reduce the number of existing residents unwillingly forced out of their neighborhood by rent increases, by shifting the margins a bit. With some kind of actual quantitative assignment of utilities it'd be possible to rationally design a subsidy program that buffers the impact of large changes without neutralizing them or setting up a long-term two-tier market (for example, subsidies can cover less than 100% of increases, and phase out over time).
I can't see any problems with this plan.
So in the same apartment building you have a new tenant paying $3000 and an old tenant paying $400 for same size apartments. I.e. the new tenant is overpaying to subsidize the old tenant who is underpaying.
To be clear, there is a "black market" of sorts wrt apartments in Sweden -- not sure how that works, but I think it is people illegally sub-letting at a higher price and/or owners taking a "bribe" on top of the regulated rent -- and it can be hard to get apartments in certain areas (high demand, too few new buildings) -- but my impression is that on the whole, it works much better than an unregulated marked, like the one we have in Norway.
Perhaps someone from Sweden can comment further.
I mean, the point of the article is a little shocking, but it carefully doesn't mention the commute time, which appears to be the thick end of 7-8 hours per day (2h 30 flight each way, and Stansted is not exactly in the heart of London). As a result, there's no shortage of people paying London's high rent prices. I'm one of them, and I wouldn't trade cheaper rents for that kind of commute (or, honestly, even commuting for 1-1.5 hours from the many towns outside London where such a thing is practical). So why does London need rent control?