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Revealed preference and differentiable demand

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  • Peter Lee
  • Kam-Chau Wong

Abstract

We prove that, for finitely many demand observations, the Strong Axiom of Revealed Preference tests not only the existence of a strictly concave, strictly monotone and continuous utility generator, but also one that generates an infinitely differentiable demand function. Our results extend those of previous related results (Matzkin and Richter, 1991; Chiappori and Rochet, 1987), yielding differentiable demand functions but without requiring differentiable utility functions. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Peter Lee & Kam-Chau Wong, 2005. "Revealed preference and differentiable demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 855-870, June.
    • Handle: RePEc:spr:joecth:v:25:y:2005:i:4:p:855-870
    DOI: 10.1007/s00199-004-0479-3
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    Citations

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    Cited by:

    1. Victor Aguiar & Roberto Serrano, 2015. "Slutsky Matrix Norms and Revealed Preference Tests of Consumer Behaviour," Working Papers 2015-1, Brown University, Department of Economics.
    2. Geoffroy de Clippel & Kareen Rozen, 2020. "Relaxed Optimization: e-Rationalizability and the FOC-Departure Index in Consumer Theory," Working Papers 2020-07, Brown University, Department of Economics.
    3. Ruediger Bachmann, 2006. "Testable Implications of Pareto Efficiency and Individualrationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 489-504, November.
    4. Pawe{l} Dziewulski & Joshua Lanier & John K. -H. Quah, 2024. "Revealed preference and revealed preference cycles: a survey," Papers 2405.08459, arXiv.org.
    5. Victor H. Aguiar & Roberto Serrano, 2018. "Classifying bounded rationality in limited data sets: a Slutsky matrix approach," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 9(4), pages 389-421, November.

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