Abstract
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.
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Carlier, G. (2003). Duality and existence for a class of mass transportation problems and economic applications. In: Kusuoka, S., Maruyama, T. (eds) Advances in Mathematical Economics. Advances in Mathematical Economics, vol 5. Springer, Tokyo. https://doi.org/10.1007/978-4-431-53979-7_1
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DOI: https://doi.org/10.1007/978-4-431-53979-7_1
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