We present certain duality results on comparative statics on competitive rent vectors in the rental housing market model. In the model, apartments as indivisible goods are classified into a finite number of categories, and are traded for one composite commodity. Our concern is about certain general properties of the behavior of rents with parameter changes. In particular, the rent changes are intimately related to the boundary income changes of the categories of apartments. Both changes are endogenously determined in equilibrium. We will show that these changes exhibit nice dual structures. We will also apply our model and comparative statics to a rental housing market in the Tokyo metropolitan area.  2005 Elsevier Inc. All rights reserved.JEL classification: R31; R30; D58

This paper presents comparative statics results on a rental housing market model with a …nite number of apartments. The apartments are classi…ed into categories based on their housing attributes. The apartments in a given category are treated as equals having the same rent. The main result is that when an improvement occurs in one category, the rent of the category increases, whereas rents of better categories decrease. We compare this result with another comparative statics result, and also with Braid's results in his model with a continuum of housing qualities.

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