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Continuously Representable Paretian Quasi-Orders


  • Vicki Knoblauch



Two forms of continuity are defined for Pareto representations of preferences. They are designated “continuityâ€\x9D and “coordinate continuity.â€\x9D Characterizations are given of those Pareto representable preferences that are continuously representable and, in dimension two, of those that are coordinate-continuously representable. Copyright Springer 2006

Suggested Citation

  • Vicki Knoblauch, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, February.
  • Handle: RePEc:kap:theord:v:60:y:2006:i:1:p:1-16 DOI: 10.1007/s11238-005-4751-1

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    References listed on IDEAS

    1. Knoblauch, Vicki, 2005. "Continuous lexicographic preferences," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 812-825, November.
    2. Vicki Knoblauch, 2001. "Using elections to represent preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 823-831.
    3. Duggan, John, 1999. "A General Extension Theorem for Binary Relations," Journal of Economic Theory, Elsevier, vol. 86(1), pages 1-16, May.
    4. Donaldson, David & Weymark, John A., 1998. "A Quasiordering Is the Intersection of Orderings," Journal of Economic Theory, Elsevier, vol. 78(2), pages 382-387, February.
    5. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
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    Cited by:

    1. Pivato, Marcus, 2013. "Multiutility representations for incomplete difference preorders," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 196-220.
    2. Vicki Knoblauch, 2009. "Topologies Defined by Binary Relations," Working papers 2009-28, University of Connecticut, Department of Economics, revised Dec 2009.

    More about this item


    preferences; Pareto order; continuous representations; D11; D70;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General


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