Dual Representations Of Strongly Monotonic Utility Functions
We present theorems that establish dualities, i.e., bijections, be- tween speci¯ed sets of direct utility functions, indirect utility functions and expenditure functions. The substantive properties characterizing the speci¯ed set of direct utility functions are strong monotonicity, upper semicontinuity and quasi-concavity. Our results are strictly in- termediate between two classes of analogous results in the literature. We also provide applications that use all the three classes of duality results.
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- Jackson, Matthew O., 1986. "Continuous utility functions in consumer theory : A set of duality theorems," Journal of Mathematical Economics, Elsevier, vol. 15(1), pages 63-77, February.
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