I don’t know of any country that does this, but it’s not completely unreasonable for all tenants to be accumulating equity in their residence, so that living in the same place continuously for a long time will eventually result in them owning it.

The future of housing IMHO. Equity based rental models, modeled on REITs. You earn shares in the operation as you pay rent, eventually owning your share of the house in a time period that is similar to a traditional mortgage. End the inflation of the monetary base caused by property speculation. As time progresses, and larger housing loans from Banks is required, we are being robbed of our savings.

What’s in it for the landlord? They’d only agree to this scheme if they get a lot more rent, perhaps double. Also no bank would loan to the landlord for such an arrangement. Governments could provide such a scheme if they are the builder.

Housing should be plentiful enough and of a reasonable cost. Failing that, it should be supplied by the state. This isn't difficult.