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A “three-sentence proof” of Hansson’s theorem

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  • Henrik Petri

    (Stockholm School of Economics)

Abstract

We provide a new proof of Hansson’s theorem: every preorder has a complete preorder extending it. The proof boils down to showing that the lexicographic order extends the Pareto order.

Suggested Citation

  • Henrik Petri, 2018. "A “three-sentence proof” of Hansson’s theorem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 111-114, April.
    • Handle: RePEc:spr:etbull:v:6:y:2018:i:1:d:10.1007_s40505-017-0127-2
    DOI: 10.1007/s40505-017-0127-2
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    References listed on IDEAS

    as
    1. Petri, Henrik & Voorneveld, Mark, 2016. "Characterizing lexicographic preferences," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 54-61.
    2. Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Ordering extension theorem; Lexicographic order; Pareto order; Preferences;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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