alt Hacker NewsIt's obviously incorrect. If X people are trying to buy Y houses, and 1 of them can always buy Y/2 houses, then you'll need to build a hell of a lot more than Y houses if Y is only equal to X. Right now in most places, Y < X, and a certain percentage of people can still buy many more than 1, so it seems like that's a real problem shouldn't continue during times of scarcity.
That is an additional problem, but does not contradict what you replied to.
N_dissatisfied > max(0, N_for_sale - N_individuals_and_couples_buying)
When N_for_sale > N_individuals_and_couples_buying, it is still possible for N_dissatisfied to be > 0 for the reason you give. But N_dissatisfied must be > 0 whenever N_for_sale < N_individuals_and_couples_buying, even if everyone is limited to having at most one.