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Continuity of Preference Relations for Separable Topologies

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  • Wakker, Peter

Abstract

A preference relation is shown to be continuous with respect to some separable topology, if and only if the preference r elation is embeddable in the Cartesian product of the reals with the set "0,1- endowed with the lexicographic ordering. This result is use d as the starting point to obtain alternative proofs for some represe ntation theorems of consumer theory. Copyright 1988 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Bibliographic Info

Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 29 (1988)
Issue (Month): 1 (February)
Pages: 105-10

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Handle: RePEc:ier:iecrev:v:29:y:1988:i:1:p:105-10

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Cited by:
  1. Knoblauch, Vicki, 2000. "Lexicographic orders and preference representation," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 255-267, October.
  2. Caserta, A. & Giarlotta, A. & Watson, S., 2008. "Debreu-like properties of utility representations," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1161-1179, December.
  3. Strati, Francesco, 2013. "Le Preferenze Condizionate: Una Introduzione
    [Conditional preferences: an introduction]
    ," MPRA Paper 46782, University Library of Munich, Germany.
  4. Beardon, Alan F. & Candeal, Juan C. & Herden, Gerhard & Indurain, Esteban & Mehta, Ghanshyam B., 2002. "Lexicographic decomposition of chains and the concept of a planar chain," Journal of Mathematical Economics, Elsevier, vol. 37(2), pages 95-104, April.
  5. Herden, G. & Mehta, G. B., 2004. "The Debreu Gap Lemma and some generalizations," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 747-769, November.
  6. Di Caprio, Debora & Santos-Arteaga, Francisco J., 2011. "Cardinal versus ordinal criteria in choice under risk with disconnected utility ranges," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 588-594.

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