Characterization of optimal Transport Plans for the Monge-Kantorovich-Problem

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dc.creatorSchachermayer, Walter
dc.creatorTeichmann, Josef
dc.date2007-11-08
dc.date.accessioned2026-07-07T08:41:35Z
dc.date.available2026-07-07T08:41:35Z
dc.descriptionWe prove that $c$-cyclically monotone transport plans $π$ optimize the Monge-Kantorovich transportation problem under an additional measurability condition. This measurability condition is always satisfied for finitely valued, lower semi-continuous cost functions. In particular, this yields a positive answer to Problem 2.25 in C. Villani's book. We emphasize that we do not need any regularity conditions as were imposed in the previous literature.
dc.descriptionto appear in Proceedings of the AMS
dc.identifierhttps://arxiv.org/abs/0711.1268
dc.identifierhttp://arxiv.org/abs/0711.1268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141717
dc.subjectOptimization and Control
dc.subjectFunctional Analysis
dc.subject49J45,28A35
dc.titleCharacterization of optimal Transport Plans for the Monge-Kantorovich-Problem
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