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

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We prove for totally monotone games defined on the set of Borel sets of a locally compact sigma-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

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  • Yann Rébillé, 2005. "A Yosida-Hewitt decomposition for totally monotone games on locally compact sigma-compact topological spaces," Cahiers de la Maison des Sciences Economiques b05087, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:mse:wpsorb:b05087
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    File URL: https://halshs.archives-ouvertes.fr/halshs-00197509
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    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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    Keywords

    Choquet's integral representation theorem; Yosida-Hewitt decomposition; totally monotone games;
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