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Some Fubini theorems on product sigma-algebras for non-additive measures

Author

Listed:
  • Alain Chateauneuf

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Philippe Lefort

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Alain Chateauneuf & Jean-Philippe Lefort, 2006. "Some Fubini theorems on product sigma-algebras for non-additive measures," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00130444, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00130444 Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00130444
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    References listed on IDEAS

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