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Two Simple Algorithms for Generating a Subset of Data Consistent with WARP and Other Binary Relations

Author

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  • Gross, John
  • Kaiser, Dan

Abstract

The authors give two algorithms which partition data into two subsets, a set consistent with the weak axiom of revealed preference (WARP) and its complement. Their main contribution is a very fast, but inexact, algorithm. The authors also describe an exact algorithm which will be impractical for large data sets. These same algorithms may be applied to several other binary relationships such the nonparametric production axioms. Since violations of WARP are also violations of the strong and generalized axioms, these algorithms are a logical first step in computing subsets consistent with these relations.

Suggested Citation

  • Gross, John & Kaiser, Dan, 1996. "Two Simple Algorithms for Generating a Subset of Data Consistent with WARP and Other Binary Relations," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(2), pages 251-255, April.
    • Handle: RePEc:bes:jnlbes:v:14:y:1996:i:2:p:251-55
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    Cited by:

    1. Eiji Yamamura, 2013. "Institution and decomposition of natural disaster impact on growth," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 40(6), pages 720-738, October.
    2. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society, vol. 13(3), September.
    3. Heufer, Jan, 2014. "Nonparametric comparative revealed risk aversion," Journal of Economic Theory, Elsevier, vol. 153(C), pages 569-616.
    4. Matej Opatrny, 2018. "Extent of Irrationality of the Consumer: Combining the Critical Cost Eciency and Houtman Maks Indices," Working Papers IES 2018/11, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Apr 2018.
    5. Heufer, Jan & Hjertstrand, Per, 2015. "Consistent subsets: Computationally feasible methods to compute the Houtman–Maks-index," Economics Letters, Elsevier, vol. 128(C), pages 87-89.
    6. Andreas C Drichoutis & Rodolfo M Nayga, 2020. "Economic Rationality under Cognitive Load," The Economic Journal, Royal Economic Society, vol. 130(632), pages 2382-2409.
    7. E. Cettolin & P. S. Dalton & W. J. Kop & W. Zhang, 2020. "Cortisol meets GARP: the effect of stress on economic rationality," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 554-574, June.
    8. Demuynck, Thomas & Hjertstrand, Per, 2019. "Samuelson's Approach to Revealed Preference Theory: Some Recent Advances," Working Paper Series 1274, Research Institute of Industrial Economics.
    9. Jim Engle-Warnick & Natalia Mishagina, 2014. "Insensitivity to Prices in a Dictator Game," CIRANO Working Papers 2014s-19, CIRANO.
    10. Marcos Demetry & Per Hjertstrand, 2023. "Consistent subsets: Computing the Houtman–Maks index in Stata," Stata Journal, StataCorp LP, vol. 23(2), pages 578-588, June.
    11. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, September.
    12. Castillo, Marco & Freer, Mikhail, 2018. "Revealed differences," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 202-217.
    13. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.

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