If I have rent control, I will list at a higher price and let the property sit vacant for longer to find a tenant because the law says that I am limited in the ability to later adapt the rent to the market.
Without rent control, there is much less incentive to leave a property vacant, looking for a tenant willing to pay a higher price point.
Most microeconomics courses teach that markets don't have one price for a good, and one of the lessons will be in strategies, such as coupons, that owners of goods use to sell into the market at multiple prices. There isn't a single number that a landlord can rent a unit out for in a given market.
I've know plenty of people who winced at the rent they paid, but told themselves that in 5 years it'll be worth it as the rent will be below market.
That makes it the market rate for the apt though. You'd be above market rate if it didn't get rented out in a normal timeframe.
[1] https://ftalphaville.ft.com/2016/03/29/2157698/ranking-ameri...
If not for rent control, he would charge $3000/month now at market-clearing rates, get a tenant in there in 30 days, and increase rent by the standard market price every 12 months. But due to rent control undercutting profits, he can't do this, so he keeps it open at a higher price.
http://www.bayareacensus.ca.gov/counties/SanFranciscoCounty....
That's not what he would do. Tenants tend to value a property more as time goes on. Beyond increasing market rates.
Without rent control, your rent will increase faster than the average market increase would indicate unless you move very often. Rent control may not be the optimal way to combat this, but it is something many societies recognize as a problem.