We present a framework for studying the relation between the distributions of income and house prices that is based on an assignment model where households are heterogeneous by incomes and houses by quality. Each household owns one house and wishes to live in one house; thus everyone is...

We study how a household borrowing constraint in the form of a down payment requirement affects house price dynamics in an OLG model with standard preferences. We find that in certain situations the borrowing constraint shapes house price dynamics substantially. The importance of the constraint...

​We study the interaction of matching and credit frictions in the housing market. In the model, risk-averse households may save or borrow in order to smooth consumption over time and finance owner housing. Prospective sellers and buyers meet randomly and bargain over the price. We analyze how...