DUAL REPRESENTATIONS OF STRONGLY MONOTONIC UTILITY FUNCTIONS

Sudhir A. Shah
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Sudhir A. Shah: Department of Economics, Delhi School of Economics, Delhi, India

No 161, Working papers from Centre for Development Economics, Delhi School of Economics

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.

Keywords: Direct utility function; indirect utility function; ex-penditure function; duality; strong monotonicity (search for similar items in EconPapers)
JEL-codes: C65 D11 (search for similar items in EconPapers)
Pages: 15 pages
Date: 2007-08
New Economics Papers: this item is included in nep-upt
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Citations: View citations in EconPapers (3)

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