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Utility Functions and Global Regularity of Fractional Demand Systems

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  • Lewbel, Arthur

Abstract

Fractional demand systems are utility derived demands having quantities or budget shares proportional to ag + bf, where g and f are functions of income and a and b vary across goods and are functions of prices. Many known demand systems that have large regular regions are fractional. This paper derives the indirect utility functions that generate all fractional demand systems, shows that these systems can all have large regular regions, and provides sufficient conditions for their global or nearly global regularity. An extension to rank three fractional demands is provided. Copyright 1995 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 36 (1995)
Issue (Month): 4 (November)
Pages: 943-61

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Handle: RePEc:ier:iecrev:v:36:y:1995:i:4:p:943-61

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Cited by:
  1. Bloemen, H.G. & Kapteyn, A., 1993. "The Estimation of Utility Consistent Labor Supply Models by Means of Simulated Scores," Papers 9367, Tilburg - Center for Economic Research.
  2. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2001. "An empirical comparison of flexible demand system functional forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(1), pages 59-80.

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