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A counterexample on the completion of preferences with single crossing differences

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Listed:
  • Kukushkin, Nikolai S.
  • Quah, John K.-H.
  • Shirai, Koji

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

  • Kukushkin, Nikolai S. & Quah, John K.-H. & Shirai, Koji, 2016. "A counterexample on the completion of preferences with single crossing differences," MPRA Paper 73760, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:73760
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    File URL: https://mpra.ub.uni-muenchen.de/73760/1/MPRA_paper_73760.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. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    3. 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.
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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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