Continuous utility functions in consumer theory: A set of duality theorems |
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| Affiliation: | 1. School of Chemical Engineering and Technology, Hebei University of Technology, Tianjin 300130, PR China;2. National-Local Joint Engineering Laboratory for Energy Conservation of Chemical Process Integration and Resources Utilization, Hebei University of Technology, Tianjin 300130, PR China;1. University of British Columbia, Canada;2. University of Washington, United States of America |
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| Abstract: | The aim of this paper is to characterize, in terms of primitives, the class of expenditure functions and the class of indirect utility functions that are associated with the class of continuous utility functions. Once the duality results are established, the theory is extended by theorems which provide useful methods for identifying these classes of expenditure and indirect utility functions. |
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