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Arrow's Theorem for Economic Domains and Edgeworth Hyperboxes

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  • Bordes, Georges
  • Campbell, Donald E
  • Le Breton, Michel

Abstract

Kenneth J. Arrow's theorem holds when the set of alternatives is an Edgeworth hyperbox and the individuals have classical economic preferences over their consumption sets. (Free disposability is not assumed.) By classical individual preferences the authors mean preorders satisfying continuity, strict convexity, strict monotonicity, and selfishness. A minor, but noteworthy, accomplishment is the development of a general technique for extending two-commodity impossibility theorems to the general m-commodity counterpart. Copyright 1995 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): 36 (1995)
Issue (Month): 2 (May)
Pages: 441-54

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Handle: RePEc:ier:iecrev:v:36:y:1995:i:2:p:441-54

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Cited by:
  1. Cato, Susumu, 2010. "Local strict envy-freeness in large economies," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 319-322, May.
  2. M. Fleurbaey & A. Trannoy, 2000. "The Impossibility of a Paretian Egalitarian," THEMA Working Papers 2000-26, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  3. John Bone, . "A simple version and extension of Arrow’s Theorem in the Edgeworth Domain," Discussion Papers 00/23, Department of Economics, University of York.
  4. Walter Bossert & John A. Weymark, 2006. "Social Choice: Recent Developments," Vanderbilt University Department of Economics Working Papers 0603, Vanderbilt University Department of Economics.
  5. Sakai, Toyotaka, 2009. "Walrasian social orderings in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 16-22, January.
  6. Michel Le Breton & John A. Weymark, 2002. "Arrovian Social Choice Theory on Economic Domains," Vanderbilt University Department of Economics Working Papers 0206, Vanderbilt University Department of Economics, revised Sep 2003.

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