2003 | OriginalPaper | Buchkapitel
Duality and existence for a class of mass transportation problems and economic applications
verfasst von : Guillaume Carlier
Erschienen in: Advances in Mathematical Economics
Verlag: Springer Japan
Enthalten in: Professional Book Archive
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We establish duality, existence and uniqueness results for a class of mass transportations problems. We extend a technique of W. Gangbo [9] using the Euler Equation of the dual problem. This is done by introducing the h-Fenchel Transform and using its basic properties. The cost functions we consider satisfy a generalization of the so-called Spence-Mirrlees condition which is well-known by economists in dimension 1. We therefore end this article by a somehow unexpected application to the economic theory of incentives.