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A Representation Theorem for Domains with Discrete and Continuous Variables

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  • BLACKORBY, Charles
  • BOSSERT, Walter
  • DONALDSON, David

Abstract

This paper proves a new representation theorem for domains with both discrete and continuous variables. The result generalizes Debreu's well-known representation theorem on connected domains. A strengthening of the standard continuity axiom is used in order to guarantee the existence of a representation. A generalization of the main theorem and an application of the more general result are also presented.

Suggested Citation

  • BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2001. "A Representation Theorem for Domains with Discrete and Continuous Variables," Cahiers de recherche 2001-16, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:2001-16
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    File URL: http://hdl.handle.net/1866/356
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    References listed on IDEAS

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    1. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2001. "Population ethics and the existence of value functions," Journal of Public Economics, Elsevier, vol. 82(2), pages 301-308, November.
    2. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
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    More about this item

    Keywords

    continuous and discrete variables; reesentations;

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

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