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Ordinal utility
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=== Uniqueness of additive representation === An additive preference relation can be represented by many different additive utility functions. However, all these functions are similar: they are not only increasing monotone transformations of each other ([[#Uniqueness|as are all utility functions representing the same relation]]); they are increasing [[linear transformation]]s of each other.<ref name=Ted/>{{rp|9}} In short, ::An additive ordinal utility function is ''unique up to increasing linear transformation''.
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