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Implementation of Social Welfare Functions

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  • Campbell, Donald E

Abstract

A social welfare function f assigns to each economic environment p a continuous preorder f(p) on the space of allocations of private goods. f is implementable if for each large finite set Z the correspondence Phi (p) defined by selecting the set of f(p)-maximal allocations in Z is implementable. Then fis implementable only if it satisfies Arrow's independence axiom. Therefore, every implementable social welfare function is constant or dictatorial or inversely dictatorial. If f(p) is merely quasitransitive and f satisfies a basic nonimposition condition then f is oligarchical if it is implementable. Copyright 1992 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • 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 525-533, August.
  • Handle: RePEc:ier:iecrev:v:33:y:1992:i:3:p:525-33
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    Cited by:

    1. de Clippel, Geoffroy & Bejan, Camelia, 2011. "No profitable decompositions in quasi-linear allocation problems," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1995-2012, September.
    2. Le Breton, Michel & Weymark, John A., 2002. "Arrovian Social Choice Theory on Economic Domains," IDEI Working Papers 143, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2003.
    3. Geoffroy de Clippel, 2009. "Axiomatic Bargaining on Economic Enviornments with Lott," Working Papers 2009-5, Brown University, Department of Economics.
    4. Ning Yu, 2015. "A quest for fundamental theorems of social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 533-548, March.

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