The extent of non-conglomerability of finitely additive probabilities

DOI10.1007/BF00531529zbMath0525.60003MaRDI QIDQ3038267

Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld

Publication date: 1984

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

conglomerabilityconvex combination of countably additive probability and purely finitely additive probabilitydecomposition of finitely additive probabilities

Mathematics Subject Classification ID

Probabilistic measure theory (60A10)

Related Items (32)

Improper regular conditional distributions ⋮ Distention for Sets of Probabilities ⋮ The dilation phenomenon in robust Bayesian inference. (With discussion) ⋮ Integration with filters ⋮ Bruno de Finetti and imprecision: imprecise probability does not exist! ⋮ Conglomerable natural extension ⋮ The fundamental theorems of prevision and asset pricing ⋮ Robust Bayesian analysis in partially ordered plausibility calculi ⋮ Nonstandard (non-\(\sigma\)-additive) probabilities in algebraic quantum field theory ⋮ Basic ideas underlying conglomerability and disintegrability ⋮ Propositional reasoning that tracks probabilistic reasoning ⋮ Finitely additive conditional probabilities ⋮ A classical way forward for the regularity and normalization problems ⋮ On the disintegration property of coherent upper conditional prevision defined by the Choquet integral with respect to its associated Hausdorff outer measure ⋮ Finitely maxitive conditional possibilities, Bayesian-like inference, disintegrability and conglomerability ⋮ On the Flatland paradox and limiting arguments ⋮ Probability and time ⋮ Agreeing to disagree and dilation ⋮ On the problem of computing the conglomerable natural extension ⋮ Infinitesimals are too small for countably infinite fair lotteries ⋮ Finitistic and frequentistic approximation of probability measures with or without \(\sigma\)-additivity ⋮ Envelopes of conditional probabilities extending a strategy and a prior probability ⋮ Dominating countably many forecasts ⋮ Williams coherence and beyond ⋮ On maxitive integration ⋮ Unnamed Item ⋮ Conglomerability of probability measures on Boolean algebras ⋮ On the equivalence of conglomerability and disintegrability for unbounded random variables ⋮ Full conglomerability ⋮ De Finetti's contribution to probability and statistics ⋮ Conglomerability and finite Partitions ⋮ NONCONGLOMERABILITY FOR COUNTABLY ADDITIVE MEASURES THAT ARE NOT κ-ADDITIVE

Cites Work

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• Nearly strategic measures
• Singularity with respect to strategic measures
• Finitely additive conditional probabilities, conglomerability and disintegrations
• κ-Finiteness and κ-Additivity of Measures on Sets and Left Invariant Measures on Discrete Groups
• Finitely Additive Measures
• A decomposition of additive set functions

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