
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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Article accepté pour publication ou publiéDate
2007Journal name
Nonlinear Analysis: Real World ApplicationsVolume
8Number
3Publisher
Elsevier
Pages
725-748
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Show full item recordAbstract (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 transportationRelated items
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