Useful Tools for Aggregation Procedures: Some Consequences and Applications of Strassen’s Measurable Hahn-Banach-Theorem

Heinz J. Skala ()
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Heinz J. Skala: University of Paderborn

A chapter in The Ordered Weighted Averaging Operators, 1997, pp 89-97 from Springer

Abstract: Abstract We state a celebrated theorem due to Strassen (1965) and derive from it Meyer’s (1966) characterization of dilation kernels. It is shown that the latter result and thus Strassen’s theorem provides a useful tool for deriving characterizations of certain orderings. As an example we prove a famous result due to Hardy/Littlewood/Pólya 1934, 1952. Finally we state some applications in the field of OWA-operators.

Keywords: OWA-operators; ordering of weight systems; a measurable Hahn-Banach theorem; dilations (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-6123-1_8

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DOI: 10.1007/978-1-4615-6123-1_8

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