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Arrovian Social Choice Theory on Economic Domains

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Author Info
Michel Le Breton () (GREMAQ and IDEI, Universite de Toulouse 1)
John A. Weymark () (Department of Economics, Vanderbilt University)

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Abstract

This article surveys the literature that investigates the consistency of Arrow's social choice axioms when his unrestricted domain assumptions are replaced by domain conditions that incorporate the restrictions on agendas and preferences encountered in economic environments. Both social welfare functions and social choice correspondences are considered.

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File URL: http://www.vanderbilt.edu/Econ/wparchive/workpaper/vu02-w06R.pdf
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Paper provided by Department of Economics, Vanderbilt University in its series Working Papers with number 0206.

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Date of creation: Apr 2002
Date of revision: Sep 2003
Handle: RePEc:van:wpaper:0206

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Related research
Keywords: Social choice; Arrow's Theorem; restricted domains;

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Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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References listed on IDEAS
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.:
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  3. Bordes, Georges & Campbell, Donald E & Le Breton, Michel, 1995. "Arrow's Theorem for Economic Domains and Edgeworth Hyperboxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 441-54, May. [Downloadable!] (restricted)
  4. John Bone, 2003. "Simple Arrow-type propositions in the Edgeworth domain," Social Choice and Welfare, Springer, vol. 20(1), pages 41-48. [Downloadable!] (restricted)
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  6. Border, Kim C., 1983. "Social welfare functions for economic environments with and without the pareto principle," Journal of Economic Theory, Elsevier, vol. 29(2), pages 205-216, April. [Downloadable!] (restricted)
  7. Marc Fleurbaey & Kotaro Suzumura & Koichi Tadenuma, 2005. "The informational basis of the theory of fair allocation," Social Choice and Welfare, Springer, vol. 24(2), pages 311-341, 04. [Downloadable!] (restricted)
  8. Weymark, John A., 1998. "Welfarism on economic domains1," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 251-268, December. [Downloadable!] (restricted)
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  20. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-37, July.
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  21. Bossert, W. & Weymark, J.A., 1991. "Generalized Median Social Welfare Functions," UBC Departmental Archives 91-29, UBC Department of Economics.
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  24. Gaertner, Wulf, 2002. "Domain restrictions," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 3, pages 131-170 Elsevier. [Downloadable!] (restricted)
  25. Redekop, James, 1991. "Social welfare functions on restricted economic domains," Journal of Economic Theory, Elsevier, vol. 53(2), pages 396-427, April. [Downloadable!] (restricted)
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  34. Campbell, Donald E., 1992. "The arrow and plott independence conditions," Economics Letters, Elsevier, vol. 39(2), pages 143-146, June. [Downloadable!] (restricted)
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  37. Campbell, Donald E, 1992. "Implementation of Social Welfare Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 525-33, August. [Downloadable!] (restricted)
  38. Ehlers, Lars, 2001. "Independence axioms for the provision of multiple public goods as options," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 239-250, March. [Downloadable!] (restricted)
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  47. Nitzan, Shmuel, 1976. "On Linear and Lexicographic Orders, Majority Rule and Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(1), pages 213-19, February. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, 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. Jean-François Laslier, 2004. "Strategic approval voting in a large electorate," IDEP Working Papers 0405, Institut d'economie publique (IDEP), Marseille, France. [Downloadable!]
    Other versions:
  2. Emre Doğan & M. Sanver, 2008. "Arrovian impossibilities in aggregating preferences over non-resolute outcomes," Social Choice and Welfare, Springer, vol. 30(3), pages 495-506, April. [Downloadable!] (restricted)
  3. Richard Barrett (LSE) & Maurice Salles (CREM-CNRS), 2006. "Social Choice With Fuzzy Preferences," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200615, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS. [Downloadable!]
  4. 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:
  5. Francois Maniquet, 2002. "Social Orderings for the Assignment of Indivisible Objects," Economics Working Papers 0015, Institute for Advanced Study, School of Social Science. [Downloadable!]
    Other versions:
  6. 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:
  7. Perea, Andrés, 2006. "Epistemic Foundations for Backward Induction: An Overview," Research Memoranda 036, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  8. Francois Maniquet & Yves Sprumont, 2002. "Welfare Egalitarianism in Non-Rival Environments," Economics Working Papers 0016, Institute for Advanced Study, School of Social Science. [Downloadable!]
    Other versions:
  9. Francois Maniquet & Yves Sprumont, 2002. "Fair Production and Allocation of an Excludable Nonrival Good," Economics Working Papers 0014, Institute for Advanced Study, School of Social Science. [Downloadable!]
    Other versions:
  10. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 2006-01, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  11. BOSSERT, Walter & PETERS, Hans, 2006. "Single-Peaked Choice," Cahiers de recherche 2006-14, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  12. Marc Fleurbaey & Koichi Tadenuma, 2007. "Do irrelevant commodities matter?," Post-Print hal-00246315_v1, HAL. [Downloadable!]
  13. John A. Weymark, 2005. "On Kolm's Use of Epistemic Counterfactuals in Social Choice Theory," Working Papers 0518, Department of Economics, Vanderbilt University. [Downloadable!]
    Other versions:
  14. Ehlers, Lars & Storcken, Ton, 2007. "Arrow's Theorem for One-Dimensional Single-Peaked Preferences," Research Memoranda 043, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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