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A Note on Testing Axioms of Revealed Preference

Author

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  • Fabrice Talla Nobibon

    (KU Leuven
    FedEx Express Europe Middle East, Indian Subcontinent & Africa)

  • Bart Smeulders

    (KU Leuven)

  • Frits C. R. Spieksma

    (KU Leuven)

Abstract

This Note presents an algorithm for testing the generalized axiom of revealed preference that runs in quadratic time. We show that this algorithm can be used to solve a more general problem on graphs. Furthermore, we prove a lower bound on the running time of any algorithm for testing different axioms of revealed preference.

Suggested Citation

  • Fabrice Talla Nobibon & Bart Smeulders & Frits C. R. Spieksma, 2015. "A Note on Testing Axioms of Revealed Preference," Journal of Optimization Theory and Applications, Springer, vol. 166(3), pages 1063-1070, September.
    • Handle: RePEc:spr:joptap:v:166:y:2015:i:3:d:10.1007_s10957-014-0657-9
    DOI: 10.1007/s10957-014-0657-9
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    References listed on IDEAS

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    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Bram De Rock & Bart Smeulders & Laurens Cherchye & Frits Spieksma, 2013. "Goodness of fit measures for revealed preference tests: Complexity results and algorithms," ULB Institutional Repository 2013/162939, ULB -- Universite Libre de Bruxelles.
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    Cited by:

    1. Shiozawa, Kohei, 2016. "Revealed preference test and shortest path problem; graph theoretic structure of the rationalizability test," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 38-48.
    2. Fabrice Talla Nobibon & Laurens Cherchye & Yves Crama & Thomas Demuynck & Bram De Rock & Frits C. R. Spieksma, 2016. "Revealed Preference Tests of Collectively Rational Consumption Behavior: Formulations and Algorithms," Operations Research, INFORMS, vol. 64(6), pages 1197-1216, December.
    3. Kohei Shiozawa, 2015. "Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test," Discussion Papers in Economics and Business 15-17-Rev.2, Osaka University, Graduate School of Economics, revised Aug 2016.
    4. 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.

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