Some Fubini theorems on sigma-algebras for non additive measures

Alain Chateauneuf and Jean-Philippe Lefort

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

Abstract: We give some Fubini's theorems (interversion of the order of integration and product capacities) in the framework of the Choquet integral for product sigma-algebras. Following Ghirardato this is performed by considering slice-comonotonic functions. Our results can be easily interpreted for belief functions, in the Dempster and Shafer setting

Keywords: Choquet integral; product capacity (search for similar items in EconPapers)
JEL-codes: C02 D80 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2006-12
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Published in International Journal of Approximate Reasoning, Elsevier, 2008, 48 (3), pp.686-696

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https://halshs.archives-ouvertes.fr/halshs-00130444 (application/pdf)
https://doi.org/10.1016/j.ijar.2007.02.007

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Persistent link: https://EconPapers.repec.org/RePEc:mse:wpsorb:b06086

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