Comment by Qwertious
>Sure, but if the price of housing is too high then price controls won't fix it either. You'd end up with no availability
You're assuming a baseline of a functional market system.
If you have widespread price-fixing between landlords (say, via everyone using the same algorithm service that gives everyone the same recommendation) then rent control isn't introducing a price fix, it's just changing the level of price fixing.
If you can only rent for $X000, but the rent price is fixed to at least $X500, then for you, there might as well be no availability - the landlord is leaving the place vacant due to the price-fixing.
The allegations of rent fixing don't look very credible. RealPage had a single-digit market share in SF when that story was making the rounds, nowhere near enough to effectively fix rates. Furthermore, these cities don't have high vacancy rates. And lastly, cities that banned the use of the software and did not see a subsequent drop in rental prices.