There is a simpler model that works very well across the whole world. Rent is tied to the price of real estate, which is tied to the purchasing power of the average person living in the area. At some point it's not even worth for the renters to rent out and keep themselves outside the reach of rent controls because their property simply goes up in value and they can take loans against it. As banks expand credit at low risk premium, now to everybody thanks to the new income from UBI prices will only go up. Bank lending drives prices in the end and income and rates are the key factors.