I think an issue is building new housing attracts an influx of population up to the point that housing is not too expensive, keeping the average price point about the same. Conversely, outflux of population would cause prices to plummet, which has happened in the past during recessions and high unemployment. In effect, housing stocks then are reduced by being removed from the market, but that's not exactly healthy for the community either.
> I contend that the people moving in would outbid everyone for the existing housing stock, which would drive rent increases even more than rents are currently going up.
That's possible, but unless people moving in are much wealthier than the people already there, the price could only rise a certain amount before no one could afford it and sales would fall off. That's similar to certain (expensive) condo prices around here, but still seems there's a ceiling effect.
Your comment inspires me to talk with some real estate folks I know, it's been a while since getting their perspective on the market.