Sudhir A. Shah (Department of Economics, Delhi School of Economics, Delhi, India)
Abstract
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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Paper provided by Centre for Development Economics, Delhi School of Economics in its series Working papers with number
161.