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Continuous lexicographic preferences

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  • Knoblauch, Vicki

Abstract

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.
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  • Knoblauch, Vicki, 2005. "Continuous lexicographic preferences," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 812-825, November.
    • Handle: RePEc:eee:mateco:v:41:y:2005:i:7:p:812-825
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    References listed on IDEAS

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    1. Peter C. Fishburn, 1975. "Axioms for Lexicographic Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(3), pages 415-419.
    2. 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.
    3. Binmore, K. & Samuelson, L., 1990. "Evolutionary Stability In Repeated Games Played By Finite Automata," Working papers 90-29, Wisconsin Madison - Social Systems.
    4. K. Binmore & L. Samuelson, 2010. "Evolutionary Stability in Repeated Games Played by Finite Automata," Levine's Working Paper Archive 561, David K. Levine.
    5. 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.
    6. 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.
    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, 2006. "Continuously Representable Paretian Quasi-Orders," Theory and Decision, Springer, vol. 60(1), pages 1-16, February.
    3. Mitra, Manipushpak & Sen, Debapriya, 2014. "An alternative proof of Fishburn’s axiomatization of lexicographic preferences," Economics Letters, Elsevier, vol. 124(2), pages 168-170.
    4. Vicki Knoblauch, 2009. "Topologies Defined by Binary Relations," Working papers 2009-28, University of Connecticut, Department of Economics, revised Dec 2009.

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    More about this item

    JEL classification:

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

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