In the mission, I would prefer if a subsidy was just given to the poor via tax dollars. Say it's a $200 per household subsidy. Maybe it makes sense for that family to pay it to the landlord, but maybe it makes sense to find a cheaper apartment and spend it on a TV. If it turns out that the TV was the chosen decision, that helps drive down the price of rent b/c maybe the landlord will have a slightly harder time raising rent prices. If, on the other hand, the tenant chooses to allocate the money to housing, it will help drive up housing prices. The upside of driving up housing prices is that it now becomes more worthwhile for someone to convert their house into apartments, which in turn increases supply and would tend to help keep prices affordable.