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On the differentiability of the consumer demand function

Author

Listed:
  • Monteiro, P. K.
  • Pascoa, Mario Rui
  • Werlang, Sérgio Ribeiro da Costa

Abstract

For strictly quasi concave differentiable utility functions, demand is shown to be differentiable almost everywhere if marginal utilities are pointwise Lipschitzian. For concave utility functions, demand is differentiable almost everywhere in the case of differentiable additively separable utility or in the case of quasi-linear utility.

Suggested Citation

  • Monteiro, P. K. & Pascoa, Mario Rui & Werlang, Sérgio Ribeiro da Costa, 1993. "On the differentiability of the consumer demand function," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 214, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    • Handle: RePEc:fgv:epgewp:214
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    References listed on IDEAS

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    1. Debreu, Gerard, 1976. "Smooth Preferences: A Corrigendum," Econometrica, Econometric Society, vol. 44(4), pages 831-832, July.
    2. Barbosa, Fernando de Holanda, 1993. "Hiperinflação e a forma funcional da equação de demanda de moeda," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 206, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    3. Rader, Trout, 1979. "Nice demand functions - II," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 253-262, December.
    4. Barbosa, Fernando de Holanda & Brandão, Antônio Salazar Pessôa & Faro, Clovis de, 1988. "O reino mágico do choque heterodoxo," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 125, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    5. Rader, J Trout, 1973. "Nice Demand Functions," Econometrica, Econometric Society, vol. 41(5), pages 913-935, September.
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    2. Cardoso, Renato Fragelli, 1997. "Entrepreneurial risk and labor's share in output," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 51(2), April.
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