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A counterexample on the completion of preferences with single crossing differences

Author

Listed:
  • Nikolai S. Kukushkin

    (Dorodnicyn Computing Centre)

  • John K.-H. Quah

    (Department of Economics, Johns Hopkins University)

  • Koji Shirai

    (School of Economics, Kwansei Gakuin University)

Abstract

We provide an example of a data set where all the revealed preference relations seem to be consistent with single crossing differences and yet the revealed preference relations cannot be extended to a complete preference obeying that property.

Suggested Citation

  • Nikolai S. Kukushkin & John K.-H. Quah & Koji Shirai, 2016. "A counterexample on the completion of preferences with single crossing differences," Discussion Paper Series 148, School of Economics, Kwansei Gakuin University, revised Oct 2016.
  • Handle: RePEc:kgu:wpaper:148
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    File URL: http://192.218.163.163/RePEc/pdf/kgdp148.pdf
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    References listed on IDEAS

    as
    1. John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
    2. John K.-H. Quah & Koji Shirai, 2015. "A revealed preference theory of monotone choice and strategic complementarity," KIER Working Papers 914, Kyoto University, Institute of Economic Research.
    3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Natalia Lazzati & John K.-H. Quah & Koji Shirai, 2015. "A revealed preference theory of monotone choice and strategic complementarity," Discussion Paper Series 138, School of Economics, Kwansei Gakuin University, revised Dec 2015.
    2. Natalia Lazzati & John K.-H. Quah & Koji Shirai, 2018. "Nonparametric analysis of monotone choice," Discussion Paper Series 184, School of Economics, Kwansei Gakuin University.

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    More about this item

    Keywords

    monotone comparative statics; single crossing differences; interval dominance; supermodular games; lattices;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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