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Duality and existence for a class of mass transportation problems and economic applications


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  • Carlier, Guillaume
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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.

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    Bibliographic Info

    Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/6443.

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    Date of creation: 2003
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    Publication status: Published in Advances in Mathematical Economics, 5, . pp. 1-21.Length: 20 pages
    Handle: RePEc:dau:papers:123456789/6443

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    Keywords: mass transportations problems; economic theory of incentives;

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    Cited by:
    1. Pierre-André Chiappori & Robert McCann & Lars Nesheim, 2010. "Hedonic price equilibria, stable matching, and optimal transport: equivalence, topology, and uniqueness," Economic Theory, Springer, Springer, vol. 42(2), pages 317-354, February.
    2. Carlier, Guillaume & Dana, Rose-Anne, 2005. "Rearrangement inequalities in non-convex insurance models," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/5389, Paris Dauphine University.
    3. Faria, Andre L., 2008. "Mergers and the market for organization capital," Journal of Economic Theory, Elsevier, Elsevier, vol. 138(1), pages 71-100, January.
    4. Ivar Ekeland, 2010. "Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types," Economic Theory, Springer, Springer, vol. 42(2), pages 275-315, February.
    5. Robert McCann & Maxim Trokhimtchouk, 2010. "Optimal partition of a large labor force into working pairs," Economic Theory, Springer, Springer, vol. 42(2), pages 375-395, February.
    6. Ivar Ekeland, 2008. "Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimenstional types," Papers 0807.3960,
    7. Carlier, Guillaume & Ekeland, Ivar, 2010. "Matching for Teams," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/6728, Paris Dauphine University.
    8. G. Carlier & I. Ekeland, 2010. "Matching for teams," Economic Theory, Springer, Springer, vol. 42(2), pages 397-418, February.


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