How to Efficiently Allocate Houses under Price Controls?

Price controls are used in many regulated markets and well recognized as the cause of market inefficiency. This paper examines a practical housing market in the presence of price controls and provides a solution to the problem of how houses should be efficiently allocated among agents through a system of prices. We demonstrate that the dynamic auction by Talman and Yang (2008) always finds a core allocation in finitely many iterations, thus resulting in a Pareto efficient outcome.