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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.

Suggested Citation

  • Lewbel, Arthur, 1995. "Utility Functions and Global Regularity of Fractional Demand Systems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 943-961, November.
    • Handle: RePEc:ier:iecrev:v:36:y:1995:i:4:p:943-61
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    Cited by:

    1. Chavas, Jean-Paul & Menon, Martina & Pagani, Elisa & Perali, Federico, 2018. "Collective household welfare and intra-household inequality," Theoretical Economics, Econometric Society, vol. 13(2), May.
    2. Hans G. Bloemen & Arie Kapteyn, 2008. "The estimation of utility-consistent labor supply models by means of simulated scores," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 395-422.
    3. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters, in: Money And The Economy, chapter 13, pages 247-277, World Scientific Publishing Co. Pte. Ltd..

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