Expected utility within a generalized concept of probability -- a comprehensive framework for decision making under ambiguity

DOI10.1007/s00362-001-0083-6zbMath1020.62005OpenAlexW1978856102MaRDI QIDQ1402914

Thomas Augustin

Publication date: 31 August 2003

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

Full work available at URL: https://doi.org/10.1007/s00362-001-0083-6

zbMATH Keywords

linear programmingdecision makingChoquet integralambiguityexpected utilityambiguity aversionimprecise probabilitiesnon-additive measuresChoquet expected utilitybelief functionscapacitiesmultiple priorslower and upper probabilitiesinterval probabilityambiguity seeking

Mathematics Subject Classification ID

Utility theory (91B16) General considerations in statistical decision theory (62C05)

Related Items (9)

Kurt Weichselberger's contribution to imprecise probabilities and statistical inference ⋮ Ranking procedures by pairwise comparison using random sets and the imprecise Dirichlet model ⋮ Multiple mediation analysis for interval-valued data ⋮ Decision making under incomplete data using the imprecise Dirichlet model ⋮ RISK ANALYSIS UNDER PARTIAL PRIOR INFORMATION AND NONMONOTONE UTILITY FUNCTIONS ⋮ Blending Bayesian and frequentist methods according to the precision of prior information with applications to hypothesis testing ⋮ Inference after checking multiple Bayesian models for data conflict and applications to mitigating the influence of rejected priors ⋮ Controlling the degree of caution in statistical inference with the Bayesian and frequentist approaches as opposite extremes ⋮ Generalized basic probability assignments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unstable collectives and envelopes of probability measures
• Linear utility theory for belief functions
• Maxmin expected utility with non-unique prior
• Towards a frequentist theory of upper and lower probability
• Entscheidungen bei unvollständiger Information
• Non-additive measure and integral
• The theory of interval-probability as a unifying concept for uncertainty
• Neyman-Pearson testing under interval probability by globally least favorable pairs: Reviewing Huber-Strassen theory and extending it to general interval probability
• Cores of convex games
• Minimax tests and the Neyman-Pearson lemma for capacities
• Risk, Ambiguity, and the Savage Axioms
• Subjective Probability and Expected Utility without Additivity
• Upper and Lower Probabilities Induced by a Multivalued Mapping
• Γ-Minimax: A Paradigm for Conservative Robust Bayesians

This page was built for publication: Expected utility within a generalized concept of probability -- a comprehensive framework for decision making under ambiguity