The short answer is that any time government sticks it's crooked nose in the free markets, the most likely outcome is inefficiency, and when the markets are not efficient, things get more expensive.
The longer answer is that if you take the available student housing stock and divide it by two (going from 4 unrelated persons to 2), then students will have to compete for less housing stock. Of course some students and landlords will disregard the ordinance, which will create a black market, so it won't be a direct cut in half. For years, California (both state and local governments) has experimented in dumb ways to make housing more expensive, but even their politicians weren't stupid enough to cut available housing stock in half overnight. This is much much worse and will be more blunt. Like the poster above said, I wonder how much these council members got when they sold their soul to the apartment lobby when the agreed to do this? There is no other explanation.
By the way, if you are a young family or a student, you should be jumping up and down screaming trying to stop this. Look at California if you want to see how this ends.
And if you are a city council member in support of this...SHAME ON YOU.
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