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Dual Representations Of Strongly Monotonic Utility Functions

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Author Info
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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Publisher Info
Paper provided by Centre for Development Economics, Delhi School of Economics in its series Working papers with number 161.

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Length: 15 pages
Date of creation: Aug 2007
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Handle: RePEc:cde:cdewps:161

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Related research
Keywords: Direct utility function; indirect utility function; ex-penditure function; duality; strong monotonicity;

Find related papers by JEL classification:
C65 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Miscellaneous Mathematical Tools
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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