Monotonic transformations preserve the ordinal properties of utility functions.
Is it true that Monotonic transformations preserve the ordinal properties of utility functions?
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.
Verdict: COMMON KNOWLEDGE · 0 sources for, 0 against · Last checked
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.
What does the evidence say?
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.
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