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Existence of continuous residential land-use equilibria
Authors:Masahisa Fujita  Tony E Smith
Abstract:This paper presents a general result on the existence of competitive equilibria for residential land markets in continuous space. Following standard residential land-use theory, such markets are postulated to involve finitely many types of household continua bidding for land within a continuous finite-dimensional space. In contrast to the standard approach of defining an excess-demand correspondence on a price space, the problem here is reformulated in terms of a ‘population excess-supply correspondence’ on a utility space. This approach allows the analysis to be carried out entirely in terms of finite-dimensional methods, and in particular, allows standard types of fixed-point arguments to be employed.
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