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Advances in Mathematical Economics pp 85–122Cite as

Optimal solutions of the Monge problem

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Part of the book series: Advances in Mathematical Economics ((MATHECON,volume 6))

Summary

We obtain optimality conditions for Monge solutions of the Monge— Kantorovich problem with a smooth cost function. Also we give explicit solutions to Monge problems and to Monge—Kantorovich problems for several natural classes of cost functions.

Supported in part by Russian Foundation for Humanitarian Sciences (projects 01-02-00481,03-02-00027).

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Author information

Authors and Affiliations

  1. Central Economics and Mathematics Institute, Russian Academy of Sciences, 47 Nakhimovskii Prospect, 117418, Moscow, Russia

    Vladimir L. Levin

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  1. Vladimir L. Levin
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Editors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-0041, Japan

    Shigeo Kusuoka (Professor) (Professor)

  2. Department of Economics, Keio University, 2-15-45 Mita, Minato-ku, Tokyo, 108-8345, Japan

    Toru Maruyama (Professor) (Professor)

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© 2004 Springer-Verlag

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Levin, V.L. (2004). Optimal solutions of the Monge problem. In: Kusuoka, S., Maruyama, T. (eds) Advances in Mathematical Economics. Advances in Mathematical Economics, vol 6. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68450-3_5

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  • DOI: https://doi.org/10.1007/978-4-431-68450-3_5

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68452-7

  • Online ISBN: 978-4-431-68450-3

  • eBook Packages: Springer Book Archive

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