Thanks, that's interesting and comprehensive.

Housing benefits are an alternative to the idea discussed here; i.e. subsidizing particular low-cost, low-standard flats. However, the problem with housing benefits is that you tend to get more of them if you have higher rent, and thus you in effect reward people with more expensive tastes, which leads to a general increase of housing consumption. My proposal is intended to have the exact opposite consequence.

I'm not that adverse to the UBI but there is something counter-intuitive about the idea that rich people first pay taxes and then get benefits back. This forces you to either lower the level of basic income (or other government expenditure) or raise taxes. My suggestion is intended to take care of this without having to resort to means-testing.