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Afriat from MaxMin

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Abstract

Afriat's original method of proof is restored by using the minmax theorem.

Suggested Citation

  • John Geanakoplos, 2013. "Afriat from MaxMin," Cowles Foundation Discussion Papers 1904, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1904
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d19/d1904.pdf
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    References listed on IDEAS

    as
    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. A. Fostel & H. Scarf & M. Todd, 2004. "Two new proofs of Afriat’s theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.
    3. Donald J. Brown & Caterina Calsamiglia, 2003. "The Strong Law of Demand," Cowles Foundation Discussion Papers 1399, Cowles Foundation for Research in Economics, Yale University.
    4. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 419-425.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Alan Beggs, 2021. "Afriat and arbitrage," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 167-176, October.
    2. Polisson, Matthew & Renou, Ludovic, 2016. "Afriat’s Theorem and Samuelson’s ‘Eternal Darkness’," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 36-40.
    3. Alfred Galichon & John Quah, 2013. "Symposium on revealed preference analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 419-423, November.
    4. Anastasia Burkovskaya, 2022. "A model of state aggregation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 121-149, February.
    5. Rehbeck, John, 2023. "Revealed Bayesian expected utility with limited data," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 81-95.

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    More about this item

    Keywords

    Afriat's Theorem; Revealed preference; GARP;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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