Very good article summarizing research done on rent control.
A substantial body of economic research has used theoretical arguments to highlight the potential negative efficiency consequences to keeping rents below market rates, going back to Friedman and Stigler (1946). They argued that a cap on rents would lead landlords to sell their rental properties to owner occupants so that landlords could still earn the market price for their real estate. Rent control can also lead to “mis-match” between tenants and rental units. Once a tenant has secured a rent-controlled apartment, he may not choose to move in the future and give up his rent control, even if his housing needs change (Suen 1980, Glaeser and Luttmer 2003, Sims 2011, Bulow and Klemperer 2012). This mis-allocation can lead to empty-nest households living in family-sized apartments and young families crammed into small studios, clearly an inefficient allocation. Similarly, if rental rates are below market rates, renters may choose to consume excessive quantities of housing (Olsen 1972, Gyourko and Linneman 1989). Rent control can also lead to decay of the rental housing stock; landlords may not invest in maintenance because they can’t recoup these investment by raising rents. (Downs 1988, Sims 2007).
Of course, rent control also offered potential benefits for tenants. For example, rent control provides insurance against rent increases, potentially limiting displacement. Affordable housing advocates argue that these insurance benefits are valuable to tenants. For instance, if long-term tenants have developed neighborhood-specific capital, such as a network of friends and family, proximity to a job, or children enrolled in local schools, then tenants face large risks from rent appreciation. In contrast, individuals who have little connection to any specific area can easily insure themselves against local rental price appreciation by moving to a cheaper location. Those invested in the local community are not able to use this type of “self-insurance” as easily, since they must give up some or all of their neighborhood specific capital. Rent control can provide these tenants with this type of insurance.
Until recently, there was little data or natural experiments with which to assess the importance of these competing arguments, and to assess how rent controls affects tenants, landlords, or the broader housing market. But newly-available housing-market data spanning periods of dramatic change in rent control laws in Cambridge, MA and in San Francisco, CA have allowed economists to examine these questions empirically. While these studies do find support for the idea that existing tenants benefit from the insurance provided by rent control, they also find the overall cost of providing that insurance is very large.