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The math I came up with to make multiple property ownership moral is that every homeowner should be charged a separate federal tax that is equal to their (city, state, county) property tax times the number of properties they own minus one.
So for instance, if you are currently paying $5,000 a year in property taxes and you buy a second equally taxed home. Right now you would pay 5000 extra dollars for that second home.
Under my scheme, you would pay $10,000 a year for that second home., or $15,000/year, $5,000 of which goes to the federal government as part of an anti-homelessness fund.
And if you got a third one at the same price, you would now pay $15,000 for each of the two extra homes, and now $10,000 for the first one, or $45,000/year, $30,000 of which would go to the anti-homelessness fund.
This would make it so that owning multiple homes would be something only the very wealthy or the very spendthrift could pull off, and it would disincentivize companies whose sole purpose is to profit off of making Americans homeless.