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the claim
Monotonic transformations preserve the ordinal properties of utility functions.
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
no sources on either side

The claim that monotonic transformations preserve the ordinal properties of utility functions is a standard definitional property in microeconomic theory and utility theory, making it common knowledge that requires no citation.

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The analysis

The claim states a foundational, definitional fact of microeconomic theory: ordinal utility represents preferences up to strictly increasing (monotonic) transformations, meaning the ranking of options is entirely preserved. None of the retrieved papers specifically test or contest this foundational definition; instead, they discuss distinct statistical, machine learning, or reliability topics. Therefore, this is classified as common knowledge.

Everything we examined (12)
We also searched for evidence AGAINST this claim, not only for it.
  1. Invariant Utility Functions and Certain Equivalent Transformationspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  2. ConcaveQ: Non-Monotonic Value Function Factorization via Concave Representations in Deep Multi-Agent Reinforcement Learningpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  3. Modeling Monotonic Effects of Ordinal Predictors in Bayesian Regression Modelspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  4. Informativeness as an ordinal utility function for information retrievalpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  5. SLACE: A Monotone and Balance-Sensitive Loss Function for Ordinal Regressionpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  6. A New Alpha Power Transformation of Logistic Distribution With Its Properties and Applicationspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. Ordinal utility differencespeer-reviewedno side takennot shown: read and judged not to bear on this claim
  8. A new distorted transformation with applications to reliability analysispeer-reviewedno side takennot shown: read and judged not to bear on this claim
  9. Probability weighting arises from boundary repulsions of cognitive noisepeer-reviewedno side takennot shown: read and judged not to bear on this claim
  10. Age-dependent patterns of cardiac complexity unveiled by topological data analysis of pediatric heart rate variability.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  11. Continuous Rating Scale Analytics (CoRSA): A tool for analyzing continuous and discrete data with item response theory.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  12. Role of the Proportional Odds Assumption for the Analysis of Ordinal Outcomes in Neurologic Trials.peer-reviewedno side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked05 Aug 2026
judged → COMMON KNOWLEDGE · 9505 Aug 2026
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