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The utility function can be used to derive the demand function, and both concepts relate to utility maximization.
In cases where the utility function is increasing with upper and lower bounds then the utility function can be characterized by a distribution function, and we can take advantage of the various ...
Using axioms no stronger than those for the Neumann-Morgenstern expected utility hypothesis, with the recognition of finite sensibility, it is shown that the utility function derived by the N-M method ...