It seems so obvious to me that there's sure to be some flaw in the argument, but it would be easy to enforce (i.e. one family, one house) and there would be a large number of houses/flats released onto the market, forcing the price down (to a rational level) so that people could afford the newly-available housing.
Because interest rates are so low, housing is a good investment, particularly with older people who might have pulled down their pension early, resulting in private landlords buying up cheap housing a letting it out.
I await flaming, but am interested to hear what people think.