The destructive legacy of the War Emergency Tenant Protection Act (NYC's rent control law - the 'war' in question is WWII) is well-known and well-documented (and equally well ignored by people who think that it should work because they want the world to work that way). It's half the reason why the rent is too damn high - because no one builds apartments anymore except crazy luxury apartments. There's no money in it. Heck, landlords have abandoned hundreds of thousands of apartments over the decades because of rent control. The city took them over, and, at one point, realized it owned 70% of Harlem.
Clearly more of the same is the only answer. :P
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Postscript. When people ignore a consensus among climate scientists about global warming, we mock them. When people ignore a consensus among economists about the destructiveness of rent control (cf. the Whaples "where is there consensus?" surveys of economists), we elect them instead. Meh.