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On the differentiability of the consumer demand function

Author

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  • 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, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-615, July.
    2. Debreu, Gerard, 1976. "Smooth Preferences: A Corrigendum," Econometrica, Econometric Society, vol. 44(4), pages 831-832, July.
    3. 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).
    4. 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).
    5. Rader, J Trout, 1973. "Nice Demand Functions," Econometrica, Econometric Society, vol. 41(5), pages 913-935, September.
    6. Rader, Trout, 1979. "Nice demand functions - II," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 253-262, December.
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    Cited by:

    1. Júnior, Antonio Marcos Duarte & Werlang, Sérgio Ribeiro da Costa, 1996. "A Model to Estimate the Us Term Structure of Interest Rates," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 16(1), November.
    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.
    3. Ferreira, Pedro Cavalcanti, 1997. "A note on growth, welfare and public policy," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 298, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    4. Aymeric Lardon, 2017. "Endogenous interval games in oligopolies and the cores," Annals of Operations Research, Springer, vol. 248(1), pages 345-363, January.
    5. Ferreira, Pedro Cavalcanti, 1997. "Infrastructure privatization in a neoclassical economy : macroeconomic impact and welfare computation," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 297, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    6. Rui Pascoa, Mario & Ribeiro da Costa Werlang, Sergio, 1999. "Determinacy of equilibria in nonsmooth economies," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 289-302, November.
    7. Sandroni, Alvaro & Werlang, Sérgio Ribeiro da Costa, 1995. "A comment on 'Rational learning lead to nash equilibrium' by professors Ehud Kalai and Ehud Lehrer," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 256, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    8. Ferreira, Pedro Cavalcanti, 1995. "Welfare and fiscal policy with public goods and infrastructure," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 264, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    9. Jose Angelo Divino & Jaime Orrillo, 2022. "Robust effects of a debt-financed tax cut in an economy with incomplete markets," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 29(1), pages 191-200, February.

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