文章基本信息

标题：A Disaggregate Residential Equilibrium Assignment Model
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作者：Fabien Leurent ; Fabien Leurent ; Nicolas Coulombel 等
期刊名称：Procedia - Social and Behavioral Sciences
印刷版ISSN：1877-0428
出版年度：2012
卷号：54
页码：758-771
DOI：10.1016/j.sbspro.2012.09.793
语种：English
出版社：Elsevier
摘要：AbstractThis paper presents a set of hypotheses and a mathematical formulation in order to model the equilibrium between supply and demand on an urban housing market. Housing supply is assumed to be price-elastic, in a way that can vary for each location and each dwelling type. Household housing demand is disaggregated on the basis of employment area, category of activity, income and household size. The market equilibrium is characterized by a set of primal-dual conditions, then by a variational inequality whose continuity guarantees the existence of an equilibrium. In the monocentric case, the primal-dual conditions are the saddle point conditions of a constrained maximization program the concavity of which implies the uniqueness of the equilibrium. We propose a resolution algorithm that is derived from traffic assignment on a transportation network. Last, we explore the outcomes of the model in a demonstration application and analyze the sensitivity of the equilibrium to our supply and demand hypotheses.
关键词：Housing market;Disaggregate demand;Supply and demand equilibrium;Income distribution;Variational inequality