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Equilibrium structure of a bidimensional asymmetric city

Ekeland, Ivar; Carlier, Guillaume (2007), Equilibrium structure of a bidimensional asymmetric city, Nonlinear Analysis: Real World Applications, 8, 3, p. 725-748. http://dx.doi.org/10.1016/j.nonrwa.2006.02.008

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Type
Article accepté pour publication ou publié
Date
2007
Journal name
Nonlinear Analysis: Real World Applications
Volume
8
Number
3
Publisher
Elsevier
Pages
725-748
Publication identifier
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Author(s)
Ekeland, Ivar
Carlier, Guillaume
Abstract (EN)
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.
Subjects / Keywords
Spatial equilibrium; Kantorovich duality; Optimal transportation