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Social choice with analytic preferences

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Author Info
Michel Le Breton () (Université de la Méditérranée, Faculté des Sciences Economiques, 14, Avenue Jules Ferry, 13621, Aix en Provence, France)
John A. Weymark () (Department of Economics, Box 1819, Station B, Vanderbilt University, Nashville, TN 37235, USA)

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Abstract

Arrow's axioms for social welfare functions are shown to be inconsistent when the set of alternatives is the nonnegative orthant in a multidimensional Euclidean space and preferences are assumed to be either the set of analytic classical economic preferences or the set of Euclidean spatial preferences. When either of these preference domains is combined with an agenda domain consisting of compact sets with nonempty interiors, strengthened versions of the Arrovian social choice correspondence axioms are shown to be consistent. To help establish the economic possibility theorem, an ordinal version of the Analytic Continuation Principle is developed.

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Publisher Info
Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 19 (2002)
Issue (Month): 3 ()
Pages: 637-657
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Handle: RePEc:spr:sochwe:v:19:y:2002:i:3:p:637-657

Note: Received: 4 July 2000/Accepted: 2 April 2001
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Campbell, Donald E., 1993. "Euclidean individual preference and continuous social preference," European Journal of Political Economy, Elsevier, vol. 9(4), pages 541-550, November. [Downloadable!] (restricted)
  2. Debreu, Gerard, 1976. "Smooth Preferences: A Corrigendum," Econometrica, Econometric Society, vol. 44(4), pages 831-32, July. [Downloadable!] (restricted)
  3. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November. [Downloadable!] (restricted)
  4. LeBreton, M., 1994. "Arrovian Social Choice on Economic Domains," G.R.E.Q.A.M. 94a37, Universite Aix-Marseille III.
  5. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August. [Downloadable!] (restricted)
  6. Ehlers,Lars & Storcken,Ton, 2001. "Arrow's Theorem in Spatial Environments," Research Memoranda 006, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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  7. Debreu, Gerard, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-15, July. [Downloadable!] (restricted)
  8. Walter Bossert & John A. Weymark, . "Utility in Social Choice," Old UBC Departmental Papers 9623, UBC Department of Economics. [Downloadable!]
  9. Donaldson, David & Weymark, John A., 1988. "Social choice in economic environments," Journal of Economic Theory, Elsevier, vol. 46(2), pages 291-308, December. [Downloadable!] (restricted)
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  1. Michel Le Breton & John A. Weymark, 2002. "Arrovian Social Choice Theory on Economic Domains," Working Papers 0206, Department of Economics, Vanderbilt University, revised Sep 2003. [Downloadable!]
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  2. Ehlers,Lars & Storcken,Ton, 2001. "Arrow's Theorem in Spatial Environments," Research Memoranda 006, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  3. Ehlers, Lars & Storcken, Ton, 2007. "Oligarchies in Spatial Environments," Research Memoranda 042, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  4. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 2006-01, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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