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Continuity of Preference Relations for Separable Topologies


  • Wakker, Peter


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.

Suggested Citation

  • Wakker, Peter, 1988. "Continuity of Preference Relations for Separable Topologies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 105-110, February.
  • Handle: RePEc:ier:iecrev:v:29:y:1988:i:1:p:105-10

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    References listed on IDEAS

    1. Mussa, Michael, 1974. "Tariffs and the Distribution of Income: The Importance of Factor Specificity, Substitutability, and Intensity in the Short and Long Run," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1191-1203, Nov.-Dec..
    2. Russell S. Boyer, 1977. "Commercial Policy under Alternative Exchange Rate Regimes," Canadian Journal of Economics, Canadian Economics Association, vol. 10(2), pages 218-232, May.
    3. Lloyd A. Metzler, 1949. "Tariffs, the Terms of Trade, and the Distribution of National Income," Journal of Political Economy, University of Chicago Press, vol. 57, pages 1-1.
    4. Mussa, Michael, 1974. "A Monetary Approach to Balance-of-Payments Analysis," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 6(3), pages 333-351, August.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Knoblauch, Vicki, 2000. "Lexicographic orders and preference representation," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 255-267, October.
    5. 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.
    6. Kukushkin, Nikolai S., 2017. "Better response dynamics and Nash equilibrium in discontinuous games," MPRA Paper 81460, University Library of Munich, Germany.
    7. repec:eee:mateco:v:74:y:2018:i:c:p:68-78 is not listed on IDEAS
    8. Kukushkin, Nikolai S., 2016. "Nash equilibrium with discontinuous utility functions: Reny's approach extended," MPRA Paper 75862, University Library of Munich, Germany.
    9. Strati, Francesco, 2013. "Le Preferenze Condizionate: Una Introduzione
      [Conditional preferences: an introduction]
      ," MPRA Paper 46782, University Library of Munich, Germany.
    10. Rajeev Kohli & Kamel Jedidi, 2007. "Representation and Inference of Lexicographic Preference Models and Their Variants," Marketing Science, INFORMS, vol. 26(3), pages 380-399, 05-06.

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