Some of those systems don't work in the long run, the rent control in Sweden results in each available apartment getting thousands of requests with people actually waiting decades to get an apartment, and this isn't some low income housing this is just because the majority of the apartments in places like Stockholm are rent controlled and managed by the government.
I just get sad every time I see it.
Rents do get bid up due to things like the minimum wage rising. This is because the power relationship between landlord and tenant is heavily skewed in favour of the landlord. The employee/employer relationship also suffers from the same disease.
Disclosure: I'm a US/UK dual citizen, and a landlord myself.
Sincere question as I don't know much about the UK rental market: why aren't the private landlords in this segment of the market competing with each other? Is it difficult to build additional rental housing cheaply enough?