Rent control is one of the main reasons that more affordable housing is NOT built. The market sets the amount of the rent, and the market delivers the housing. If the housing is too expensive it will either lie vacant, or will be rented to people who can afford it.
I don't get this argument. Hardly any New York apartments are rent controlled anymore. Newly built or renovated housing is not rent stabilized, either. My friends pay $4,200 a month for a two-bedroom apartment in Manhattan -- and the parking garage and basement storage are extra.