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Continuous Lexicographic Preferences


  • Vicki Knoblauch

    (University of Connecticut)


Under what conditions are lexicographically representable preferences continuously representable? This question is actually two questions, since there are two natural definitions of continuity for lexicographic representations. A complete answer is given for one of these questions, and the other is answered for two-dimensional lexicographic representations.

Suggested Citation

  • Vicki Knoblauch, 2003. "Continuous Lexicographic Preferences," Working papers 2003-31, University of Connecticut, Department of Economics.
  • Handle: RePEc:uct:uconnp:2003-31

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    References listed on IDEAS

    1. Peter C. Fishburn, 1975. "Axioms for Lexicographic Preferences," Review of Economic Studies, Oxford University Press, vol. 42(3), pages 415-419.
    2. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
    3. Hougaard, Jens Leth & Tvede, Mich, 2001. "The existence of maximal elements: generalized lexicographic relations," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 111-115, November.
    4. Jensen, Eric R, 1990. "An Econometric Analysis of the Old-Age Security Motive for Childbearing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 953-968, November.
    5. Binmore, K. & Samuelson, L., 1990. "Evolutionary Stability In Repeated Games Played By Finite Automata," Working papers 90-29, Wisconsin Madison - Social Systems.
    6. K. Binmore & L. Samuelson, 2010. "Evolutionary Stability in Repeated Games Played by Finite Automata," Levine's Working Paper Archive 561, David K. Levine.
    7. Knoblauch, Vicki, 2000. "Lexicographic orders and preference representation," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 255-267, October.
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    Cited by:

    1. Vicki Knoblauch, 2003. "Continuous Paretian Preferences," Working papers 2003-29, University of Connecticut, Department of Economics.
    2. Vicki Knoblauch, 2009. "Topologies Defined by Binary Relations," Working papers 2009-28, University of Connecticut, Department of Economics, revised Dec 2009.
    3. Vicki Knoblauch, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, February.
    4. Mitra, Manipushpak & Sen, Debapriya, 2014. "An alternative proof of Fishburn’s axiomatization of lexicographic preferences," Economics Letters, Elsevier, vol. 124(2), pages 168-170.

    More about this item


    preferences; lexicographic order; continuous representations;

    JEL classification:

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

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