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A Representation Theorem for Domains with Discrete and Continuous Variables

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Author Info

  • 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.

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File URL: http://hdl.handle.net/1866/356
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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2001-16.

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Length: 12 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mtl:montde:2001-16

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Keywords: continuous and discrete variables; reesentations;

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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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