In Sweden, new contracts are arbitrary (new stock or people dying/leaving) so the market is at play then but yearly increases are limited in size (with the exception of "standard improving renovations" that are now being mis-used instead to drive out elders).

In general it has had it's benefits for safety but you now also have 70-90 year olds that once had families that now are living alone in 120m2 4-5 room apartments that can't move to anything smaller (thus yielding space to a young family) because the rent in anything smaller would be larger than their current rent, so they stay and the housing usage gets skewed.