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

Yann Rébillé

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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.

Keywords: Choquet's integral representation theorem; Yosida-Hewitt decomposition; totally monotone games (search for similar items in EconPapers)
Date: 2005-12
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00197509v1
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Published in 2005

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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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