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Record W3165351258

Bayes and Hurwicz Without Bernoulli

2020· article· en· W3165351258 on OpenAlexaff
Simon Grant, Patricia Rich, Jack Douglas Stecher

Bibliographic record

VenueSSRN Electronic Journal · 2020
Typearticle
Languageen
FieldDecision Sciences
TopicRisk and Portfolio Optimization
Canadian institutionsUniversity of Alberta
Fundersnot available
KeywordsAmbiguityBernoulli's principleCertaintyExpected utility hypothesisBayes' theoremDecision theoryMathematical economicsDecision makerSubjective expected utilityRanking (information retrieval)MathematicsBayesian inferenceBayesian probabilityComputer scienceMathematical optimizationArtificial intelligenceOperations researchEngineeringStatistics
DOInot available

Abstract

fetched live from OpenAlex

We provide a theory of decision under ambiguity that does not require expected utility maximization under risk. Instead, we require only that a decision maker be probabilistically sophisticated in evaluating a subcollection of acts. Three components determine the decision maker's ranking of acts: a prior, a map from ambiguous acts to equivalent risky lotteries, and a generalized notion of certainty equivalent. The prior is Bayesian, defined over the inverse image of acts for which the decision maker is probabilistically sophisticated. Ambiguity preferences are similar to Hurwicz, depending on an act's best- and worst-case interpretations. The generalized certainty equivalent may, but need not, come from a Bernoulli utility. The ability to combine appealing theories of risk and ambiguity at will has been sought after but missing from the literature, and our decomposition provides a promising way forward.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.694
Threshold uncertainty score0.359

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.043
GPT teacher head0.332
Teacher spread0.288 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2020
Admission routes1
Has abstractyes

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