Counterexamples to Segal's measure representation theorem

DOI10.1007/BF01065352zbMath0773.90006OpenAlexW2101990560WikidataQ124900440 ScholiaQ124900440MaRDI QIDQ1803645

Peter P. Wakker

Publication date: 29 June 1993

Published in: Journal of Risk and Uncertainty (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01065352

zbMATH Keywords

counterexamplesqualitative probabilitynotions of continuity in rank-dependent utility

Mathematics Subject Classification ID

Utility theory (91B16)

Related Items (8)

Benchmarking real-valued acts ⋮ The comonotonic sure-thing principle ⋮ The measure representation: A correction ⋮ The sure-thing principle and the comonotonic sure-thing principle: An axiomatic analysis ⋮ Variations on the measure representation approach ⋮ Comonotonicity axioms and rank-dependent expected utility theory for arbitrary consequences ⋮ An axiomatization of cumulative prospect theory ⋮ Separating marginal utility and probabilistic risk aversion

Cites Work

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• Anticipated utility: A measure representation approach
• On lexicographic probability relations
• The axioms of subjective probability
• Additive representations on rank-ordered sets. I: The algebraic approach
• On a class of control laws in the activity analysis problem with limited resources
• The axiomatic basis of anticipated utility: A clarification
• A unifying approach to axiomatic non-expected utility theories: Correction and comment
• A unifying approach to axiomatic non-expected utility theories
• Two-Stage Lotteries without the Reduction Axiom
• Subjective Probability and Expected Utility without Additivity
• The Structure of Utility Functions

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