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Revealed preference analysis for convex rationalizations on nonlinear budget sets

Author

Listed:
  • Laurens CHERCHYE
  • Thomas DEMUYNCK
  • Bram DE ROCK

Abstract

We present necessary and sufficient revealed preference conditions to verify whether a finite data set on nonlinear budget sets is consistent with the maximization of a quasi–concave utility function. Our results can be used to test for convexity of the underlying preference relation. We also show that in many settings, our conditions are easy to use in practical applications.

Suggested Citation

  • Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2012. "Revealed preference analysis for convex rationalizations on nonlinear budget sets," Working Papers of Department of Economics, Leuven ces12.15, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    • Handle: RePEc:ete:ceswps:ces12.15
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    Citations

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    Cited by:

    1. Sam Cosaert & Thomas Demuynck, 2015. "Revealed preference theory for finite choice sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 169-200, May.
    2. Dong, Xueqi & Liu, Shuo Li, 2021. "Proportional Tax under Ambiguity," MPRA Paper 107668, University Library of Munich, Germany.
    3. Ian Crawford & Bram De Rock, 2014. "Empirical Revealed Preference," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 503-524, August.
    4. Demuynck, Thomas & Hjertstrand, Per, 2019. "Samuelson's Approach to Revealed Preference Theory: Some Recent Advances," Working Paper Series 1274, Research Institute of Industrial Economics.
    5. Polisson, Matthew & Renou, Ludovic, 2016. "Afriat’s Theorem and Samuelson’s ‘Eternal Darkness’," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 36-40.
    6. Khushboo Surana, 2022. "How different are we? Identifying the degree of revealed preference heterogeneity," Discussion Papers 22/09, Department of Economics, University of York.
    7. Dziewulski, Paweł & Lanier, Joshua & Quah, John K.-H., 2024. "Revealed preference and revealed preference cycles: A survey," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    8. Pawe{l} Dziewulski & Joshua Lanier & John K. -H. Quah, 2024. "Revealed preference and revealed preference cycles: a survey," Papers 2405.08459, arXiv.org.
    9. Smeulders, Bart & Crama, Yves & Spieksma, Frits C.R., 2019. "Revealed preference theory: An algorithmic outlook," European Journal of Operational Research, Elsevier, vol. 272(3), pages 803-815.
    10. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2014. "Revealed preference analysis for convex rationalizations on nonlinear budget sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 224-236.

    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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