IDEAS home Printed from https://ideas.repec.org/p/fgv/epgewp/214.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: https://repositorio.fgv.br/bitstreams/618abb85-01f9-4b4f-9b6f-4bc68cf233b8/download
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Debreu, Gerard, 1976. "Smooth Preferences: A Corrigendum," Econometrica, Econometric Society, vol. 44(4), pages 831-832, July.
    2. Rader, Trout, 1979. "Nice demand functions - II," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 253-262, December.
    3. Debreu, Gerard, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-615, July.
    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. 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).
    6. Rader, J Trout, 1973. "Nice Demand Functions," Econometrica, Econometric Society, vol. 41(5), pages 913-935, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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).
    3. 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.
    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. 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.
    6. 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).
    7. 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).
    8. 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.
    9. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Aymeric Lardon, 2017. "Endogenous interval games in oligopolies and the cores," Annals of Operations Research, Springer, vol. 248(1), pages 345-363, January.
    3. Sergio Turner, 2004. "Pareto Improving Taxation in Incomplete Markets," Econometric Society 2004 Latin American Meetings 310, Econometric Society.
    4. Sergio Turner & Norovsambuu Tumennasan, 2006. "Pareto Improving Monetary Policy in Incomplete Markets," Working Papers 2006-04, Brown University, Department of Economics.
    5. Tirelli, Mario & Turner, Sergio, 2010. "A social welfare function characterizing competitive equilibria of incomplete financial markets," Research in Economics, Elsevier, vol. 64(1), pages 58-65, March.
    6. Michel Le Breton & John A. Weymark, 2002. "Social choice with analytic preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 637-657.
    7. Geanakoplos, John & Polemarchakis, H.M., 2008. "Pareto improving taxes," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 682-696, July.
    8. Tyson, Christopher J., 2013. "Preference symmetries, partial differential equations, and functional forms for utility," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 266-277.
    9. Kubler, F. & Chiappori, P. -A. & Ekeland, I. & Polemarchakis, H. M., 2002. "The Identification of Preferences from Equilibrium Prices under Uncertainty," Journal of Economic Theory, Elsevier, vol. 102(2), pages 403-420, February.
    10. Hosoya, Yuhki, 2013. "Measuring utility from demand," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 82-96.
    11. Ferreira, Pedro Cavalcanti, 1994. "A note on policy, the composition of public expenditures and economic growth," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 240, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    12. CHIAPPORI, Pierre-André & EKELAND, Ivar & KUBLER, Félix & POLEMARCHAKIS, Heracles, 2000. "The identification of preferences from equilibrium prices," LIDAM Discussion Papers CORE 2000024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Sergio Turner, 2004. "Pareto Improving Taxation in Incomplete Markets," Econometric Society 2004 North American Summer Meetings 614, Econometric Society.
    14. Tyson, Christopher J., 2013. "Preference symmetries, partial differential equations, and functional forms for utility," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 266-277.
    15. Sergio Turner, 2006. "Theory of Demand in Incomplete Markets," Working Papers 2006-07, Brown University, Department of Economics.
    16. KÜBLER, Felix & POLEMARCHAKIS, Heracles, 1999. "The identification of preferences from the equilibrium prices of commodities and assets," LIDAM Discussion Papers CORE 1999033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Correia-da-Silva, João, 2015. "Generic non-existence of general equilibrium with EUU preferences under extreme ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 185-191.
    18. Besada, Manuel & Garcia, Javier & Miras, Miguel & Vazquez, Carmen, 2002. "Existence of smooth utilities on Banach lattices," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 39-45, February.
    19. Tirelli, Mario & Turner, Sergio, 2010. "A social welfare function characterizing competitive equilibria of incomplete financial markets," Research in Economics, Elsevier, vol. 64(1), pages 58-65, March.
    20. Beardon, Alan F. & Rowat, Colin, 2013. "Efficient sets are small," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 367-374.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fgv:epgewp:214. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Núcleo de Computação da FGV EPGE (email available below). General contact details of provider: https://edirc.repec.org/data/epgvfbr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.