Optimal transportation and the structure of cities
Ekeland, Ivar; Carlier, Guillaume (2003), Optimal transportation and the structure of cities. https://basepub.dauphine.fr/handle/123456789/11468
TypeDocument de travail / Working paper
Series titleUniversité Paris-Dauphine
MetadataShow full item record
Abstract (EN)Following the recent analysis of Lucas and Rossi-Hansberg ,we study the equilibrium structure of cities. By adopting a different(monetary) specification of commuting costs , we are able to provethe existence of equilibrium in more general situations: non-circularcities, or multi-sectorial production. The main mathematical tool inthis paper is the use of optimal transportation theory. This theoryoffers a new framework, both powerful and robust for problems ingeographical economics.
Subjects / Keywordsequilibrium city; optimal transportation; zoning; production externalities
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A system of inequalities arising in mathematical economics and connected with the Monge-Kantorovich problem Carlier, Guillaume; Levin, V.L.; Ekeland, Ivar; Shananin, A.A. (2002) Document de travail / Working paper