An Approach to Housing Markets with Externalities using Tarski\u27s Fixed-Point Theorem

This paper presents a model of rental housing markets with externalities, in which households and landlords trade apartments as indivisible commodities. The externalities among households are considered in such a way that the average income of households affects on a household\u27s consumption behavior. The existence of a competitive equilibrium in this model is proved using Tarski\u27s fixed-point theorem