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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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File URL: http://www.sciencedirect.com/science/article/B6VBY-4F1J8TK-2/2/033c1f4999e3f9c3788543ec349caac2
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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 41 (2005)
Issue (Month): 7 (November)
Pages: 812-825

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Handle: RePEc:eee:mateco:v:41:y:2005:i:7:p:812-825

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Web page: http://www.elsevier.com/locate/jmateco

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References

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  1. 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.
  2. Binmore, K. & Samuelson, L., 1991. "Evolutionary Stability in Repeated Game Played by Finite Automata," Papers 9131, Tilburg - Center for Economic Research.
  3. K. Binmore & L. Samuelson, 2010. "Evolutionary Stability in Repeated Games Played by Finite Automata," Levine's Working Paper Archive 561, David K. Levine.
  4. Fishburn, Peter C, 1975. "Axioms for Lexicographic Preferences," Review of Economic Studies, Wiley Blackwell, vol. 42(3), pages 415-19, July.
  5. Knoblauch, Vicki, 2000. "Lexicographic orders and preference representation," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 255-267, October.
  6. 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.
  7. 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 953-68, November.
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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.

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