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

Yann Rébillé

Cahiers de la Maison des Sciences Economiques from Université Panthéon-Sorbonne (Paris 1)

Abstract: 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

Keywords: Choquet's integral representation theorem; Yosida-Hewitt decomposition; totally monotone games (search for similar items in EconPapers)
Pages: 13 pages
Date: 2005-12
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Related works:
Working Paper: A Yosida-Hewitt decomposition for totally monotone games on locally compact sigma-compact topological spaces (2005)
Working Paper: A Yosida-Hewitt decomposition for totally monotone games on locally compact sigma-compact topological spaces (2005)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:b05087

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