Duality and existence for a class of mass transportation problems and economic applications
AbstractWe establish duality, existence and uniqueness results for a class of mass transportations problems. We extend a technique of W. Gangbo  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.
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Bibliographic InfoPaper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/6443.
Date of creation: 2003
Date of revision:
Publication status: Published in Advances in Mathematical Economics, 5, . pp. 1-21.Length: 20 pages
mass transportations problems; economic theory of incentives;
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