Max-min (\(\sigma\)-)additive representation of monotone measures

DOI10.1007/s00362-001-0084-5zbMath1038.60004OpenAlexW2070771645MaRDI QIDQ1402916

Dieter Denneberg, Martin Brüning

Publication date: 31 August 2003

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-001-0084-5

zbMATH Keywords

nonadditive measures

Mathematics Subject Classification ID

Probabilistic measure theory (60A10)

Related Items (10)

Upper and lower conditional probabilities induced by a multivalued mapping ⋮ Measure and integral with purely ordinal scales. ⋮ \(n\)-monotone exact functionals ⋮ Envelopes of conditional probabilities extending a strategy and a prior probability ⋮ The geometry of consonant belief functions: simplicial complexes of necessity measures ⋮ The extreme points of the set of belief measures ⋮ Some Fubini theorems on product \(\sigma \)-algebras for non-additive measures ⋮ Unnamed Item ⋮ New axiomatisations of discrete quantitative and qualitative possibilistic integrals ⋮ Conditional expectation for monotone measures, the discrete case

Cites Work

• Unnamed Item
• Forme abstraite du théorème de capacitabilité
• The sigma-core of a cooperative game
• Convex games and extreme points
• Totally monotone core and products of monotone measures
• Conditional expectation for monotone measures, the discrete case
• Interaction transform of set functions over a finite set
• Cores of exact games. I
• Compactness in spaces of measures
• Sublinear Functionals and Ideals in Partially Ordered Vector Spaces

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