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the claim
Two utility functions with the same marginal rate of substitution represent the same preferences.
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
no sources on either side

This is a standard microeconomic definition regarding ordinal utility theory where indifference curves represent identical preference orderings; no citation is needed.

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The analysis

The claim states a fundamental definition in consumer choice theory: if two utility functions generate the same marginal rate of substitution everywhere (i.e., identical indifference curves), they represent the exact same ordinal preferences (related by a monotonic transformation). This is a textbook mathematical property and foundational knowledge in economics, rendering external empirical citations unnecessary.

Everything we examined (12)
  1. A guide to extending and implementing generalized risk-adjusted cost-effectiveness (GRACE).peer-reviewedno side takennot shown: read and judged not to bear on this claim
  2. Psychological, psychiatric, and behavioral sciences measurement scales: best practice guidelines for their development and validation.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  3. The role of diminishing marginal utility in the ordinal and cardinal utility theoriespeer-reviewedno side takennot shown: read and judged not to bear on this claim
  4. How to Validate a Bayesian Evolutionary Model.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  5. Crystal Composition Transformer: Self-Learning Neural Language Model for Generative and Tinkering Design of Materials.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  6. Patient Preferences for First-Line Treatment of Locally Advanced or Metastatic Urothelial Carcinoma: An Application of Multidimensional Thresholding.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. The substitution effect of financial and non-financial incentives at different income levels in physician recruitment: evidence from medical students in China.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  8. An atlas of exposome-phenome associations in health and disease risk.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  9. Comparing Discrete Choice Experiment with Swing Weighting to Estimate Attribute Relative Importance: A Case Study in Lung Cancer Patient Preferences.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  10. Data-driven recommendation of agents, temperature, and equivalence ratios for organic synthesis.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  11. Poromechanical behaviour of a surficial geological barrier during fluid injection into an underlying poroelastic storage formation.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  12. On the (Near) Equivalence of Welfarist and Extra-Welfarist Methods to Value Healthcare and Implications for Social Welfare Funds and Equity.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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