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An integral for nonmeasurable correspondences and the shapley-interval

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Abstract

For a nonmeasurable correspondence there may be no measurable selection and this implies the non-existence of the usual integral of the correspondence. We define an extended integral for correspondences via premeasurable selections and study properties of this new integral.

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Authors and Affiliations

  1. NWF I-Mathematik, Universität Regensburg, Postfach, D-8400, Regensburg

    Werner J. A. Stich

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  1. Werner J. A. Stich
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Stich, W.J.A. An integral for nonmeasurable correspondences and the shapley-interval. Manuscripta Math 61, 215–221 (1988). https://doi.org/10.1007/BF01259330

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  • DOI: https://doi.org/10.1007/BF01259330

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