It's interesting to compare what happened under rent control in medieval Europe. Under the feudal system, land rents were permanently fixed. They could never increase or decrease by any amount. This had the advantage that everyone knew what they were.
...sort of. What actually happened was that lords meddled with the size of units. The dues for a plot of land may be fixed at 3 bushels of grain, but if you can make the bushel bigger you can pass a rent increase anyway. So a major concern of European peasant movements was stable and uniform units.