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Correspondences of probability measures with restricted marginals revisited

Author

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  • M. Zarichnyi

    (Lviv National University)

Abstract

We reprove a result of J. Bergin on the continuity of the correspondences of probability measures on a product space with restricted marginals. The proof is based on some functorial properties of probability measures. It works also for arbitrary number of coordinate spaces and for non-metrizable case.

Suggested Citation

  • M. Zarichnyi, 2002. "Correspondences of probability measures with restricted marginals revisited," GE, Growth, Math methods 0210006, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpge:0210006
    Note: Type of Document - Acrobat PDF; prepared on IBM PC; to print on HP; pages: 6 . 6 pages pdf
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/ge/papers/0210/0210006.pdf
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    Cited by:

    1. Mario Ghossoub & David Saunders, 2021. "On the continuity of the feasible set mapping in optimal transport," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 113-117, April.

    More about this item

    Keywords

    Probability measures on product spaces; Continuity of correspondence; Bicommutative diagram.;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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