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Abstract

Since the seminal paper of Ghirardato, it is known that Fubini Theorem for non-additive measures can be available only for functions defined as “slice-comonotonic”. We give different assumptions that provide such Fubini Theorems in the framework of product σ-algebras.

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Bibliographic Info

Paper provided by Université Paris-Dauphine in its series Open Access publications from Université Paris-Dauphine with number urn:hdl:123456789/7324.

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Date of creation: Aug 2008
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Publication status: Published in International Journal of Approximate Reasoning (2008-08) v.48, p.686-696
Handle: RePEc:ner:dauphi:urn:hdl:123456789/7324

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Related research

Keywords: mathematical analysis; Fubini Theorem;

Find related papers by JEL classification:

• C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
• D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
• D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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1. : Ebbe Hendon & Hans Jørgen Jacobsen & Birgitte Sloth & Torben Tranæs, 1993. "The Product of Capacities and Belief Functions," Discussion Papers 93-04, University of Copenhagen. Department of Economics.
   
   • Hendon, Ebbe & Jacobsen, Hans Jorgen & Sloth, Birgitte & Tranaes, Torben, 1996. "The product of capacities and belief functions," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 95-108, October.
2. 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).
   
   • Yann Rébillé, 2005. "A Yosida-Hewitt decomposition for totally monotone games on locally compact sigma-compact topological spaces," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197509, HAL.
3. Ghirardato, Paolo, 1997. "On Independence for Non-Additive Measures, with a Fubini Theorem," Journal of Economic Theory, Elsevier, vol. 73(2), pages 261-291, April.
   
   • Ghirardato, Paolo, 1995. "On Independence For Non-Additive Measures, With a Fubini Theorem," Working Papers 940, California Institute of Technology, Division of the Humanities and Social Sciences.
4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
   
   • David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.

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Cited by:

1. Ghossoub, Mario, 2011. "Monotone equimeasurable rearrangements with non-additive probabilities," MPRA Paper 37629, University Library of Munich, Germany, revised 23 Mar 2012.

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