1. Demand is only one factor in the price of housing. Supply is another. Eliminate all density/height/parking restrictions and enforce quality, and only quality regulations and the increase won't be that severe.

2. Don't cap property taxes. Instead use property tax revenues to build cool stuff for the city, among them very wide-ranging, very fast public transit so people can live in suburbs without shitty commutes.

3. Tax unoccupied housing heavily.