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

@inproceedings{Carlier2003DualityAE,
  title={Duality and existence for a class of mass transportation problems and economic applications},
  author={Guillaume Carlier},
  year={2003}
}
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… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 25 REFERENCES

The Geometry of Optimal Transportation

W. Gangbo, R. J. Mc Cann
  • Acta Math., vol. 177
  • 1996
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

A numerical method for the Optimal Time- Continuous Mass Transport Problem and related problems

J. D. Benamou, Y. Brenier
  • Contempo- rary Mathematics, vol. 226
  • 1999
VIEW 1 EXCERPT

Etude de quelques probl emes variationnels intervenant en g eom etrie riemannienne et en economie math ematique

P. Chon e
  • PhD Thesis,
  • 1999

L

S. T. Rachev
  • R uschendorf. Mass Transportation Problems. Vol. I: Theory; Vol. II : Applications , Springer-Verlag
  • 1998

P

J.-C. Rochet
  • Chon e. Ironing, Sweeping and Multidimensional screening, Econometrica, vol. 66
  • 1998