Quantified Marginal Utility
Under the special case in which usefulness can be quantified, the change in utility of moving from state to state is
Moreover, if and are distinguishable by values of just one variable which is itself quantified, then it becomes possible to speak of the ratio of the marginal utility of the change in to the size of that change:
(where “c.p.” indicates that the only independent variable to change is ).
Mainstream neoclassical economics will typically assume that
is well defined, and use “marginal utility” to refer to a partial derivative
and diminishing marginal utility is similarly taken to correspond to
- .
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