The concept of marginal utility strictly requires a cardinal utility function
Economic theory and modern research demonstrate that the concept of marginal utility does not strictly require a cardinal utility function, as it can be formulated using ordinal utility approaches.
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Wikipedia: Marginal utility. Wikipedia. https://en.wikipedia.org/wiki/Marginal_utility
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en.wikipedia.org: Cardinal utility. en.wikipedia.org. https://en.wikipedia.org/wiki/Cardinal_utility
Economists proved that under mild conditions ordinal utilities imply cardinal utilities, showing it is not strictly required as a baseline limitation.
doi.org: Mathematical Proof of the Ordinal Marginal Preference Theory Under the Fixed Exchange Conditions. doi.org. https://doi.org/10.1142/s1793005726500225
It mentions the development of an ordinal marginal utility approach, refuting that marginal utility strictly requires cardinal utility.
doi.org: The Austrian Theory of the Marginal Use And of Ordinal Marginal Utility. doi.org. https://doi.org/10.3386/w0170
States explicitly that the concept of marginal utility is not dependent on cardinal utility and is consistent with ordinal utility.
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