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A Yosida-Hewitt decomposition for totally monotone games on locally compact sigma-compact topological spaces

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  • Yann Rébillé

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We prove for totally monotone games defined on the set of Borel sets of a locally compact s-compact topological space a similar decomposition theorem to the famous Yosida-Hewitt's one for finitely additive measures. This way any totally monotone decomposes into a continuous part and a pathological part which vanishes on the compact subsets. We obtain as corollaries some decompositions for finitely additive set functions and for minitive set functions.

Suggested Citation

  • Yann Rébillé, 2005. "A Yosida-Hewitt decomposition for totally monotone games on locally compact sigma-compact topological spaces," Post-Print halshs-00197509, HAL.
    • Handle: RePEc:hal:journl:halshs-00197509
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00197509
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    Cited by:

    1. Alain Chateauneuf & Jean-Philippe Lefort, 2006. "Some Fubini theorems on sigma-algebras for non additive measures," Cahiers de la Maison des Sciences Economiques b06086, Université Panthéon-Sorbonne (Paris 1).

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