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Upper middle class are usually not homeless, right now they occupy some pool of apartments in cities anyway. By building more luxury apartments you encourage them to move, thus leaving their old apartment behind, either by putting it on sale, or renting it out. Think of this like a domino effect: those earning $10M per year buy luxury residence, leaving their old house for those earning $1M, who in turn leave their own houses to those earning $500K, who leave their apartments for those earning $200k, and so on, and so on. In the end everybody benefits from new housing being built, even if it's only luxury housing. Also, increasing supply keeps prices down, thus decreasing profitability of buying houses as investment, causing larger share of apartments to be bought by people who actually plan to live in them. EDIT: yes, this effect might not work as described if is limited to just one city, because there might be a lot of people wanting to move from elswhere. Or more precisely: it will work, eventually, but it would require much more housing to be built to meet the demand. |
This assumes that a) rents don't increase for the new residents (which is false) and b) people only move within a city and there's no high demand from people outside to move into the city (which is false too).