We present a framework for studying the relation between the distribution of income and the distribution of housing prices that is based on an assignment model of households with heterogeneous incomes and houses of heterogeneous quality. The equilibrium distribution of prices depends on both...

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...