Equilibrium structure of a bidimensional asymmetric city

被引：19

作者：

Carlier, G. ^{[1
]}

Ekeland, I.

机构：

[1] Univ Paris 09, CEREMADE, F-75775 Paris, France

[2] Univ British Columbia, Canc Res Chair Math Econ, Dept Math, Vancouver, BC V5Z 1M9, Canada

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 03期

关键词：

spatial equilibrium; optimal transportation; Kantorovich duality;

D O I：

10.1016/j.nonrwa.2006.02.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of equilibrium configurations of a bidimensional, non-symmetric city with an arbitrary boundary and an arbitrary transportation cost. The (non-constant) densities of land used for business and for residence are equilibrium outcomes. The proof relies on the theory of optimal transportation. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：725 / 748

页数：24

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