I don't know about rents right now, but once upon a time, my rent wasn't raised for six years.. not re the economy so much, as for my steadiness in a university neighborhood that people sometimes were raucous in, or destructive in some way, or didn't last long re grades or whatever. I figure past tenants were more annoying than I was. I was past all that, plus painting the kitchen with permission, not messing up the place. I did throw a very large party once, but I warned the landlords while inviting them way ahead of time. I suspect they took a weekend trip or watched from afar. No harm done.
I miss that place. Last I saw of it, driving by one day years after, the building (a charming spanish abode, just two 'apartments', the owners below and me above) was gone and there was a monster three story ugly expansive apartment building.