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Arrovian Social Choice Correspondences

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  • Campbell, Donald E
  • Kelly, Jerry S

Abstract

A social choice correspondence is Arrovian if it satisfies Kenneth Arrow's choice axiom and independence of infeasible alternatives. For any such correspondence, there is a large fraction of the population whose preferences are irrelevant to the social decision in a large fraction of situations. The authors consider the case of a finite outcome set, and also an outcome set of positive but finite Lebesgue measure (in some Euclidean space). An unrestricted individual preference domain is assumed. The agenda domain assumption allows for a finite lower bound, possibly greater than two, on the size of a feasible set. Copyright 1996 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • Campbell, Donald E & Kelly, Jerry S, 1996. "Arrovian Social Choice Correspondences," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 803-823, November.
    • Handle: RePEc:ier:iecrev:v:37:y:1996:i:4:p:803-23
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    Cited by:

    1. Noguchi, Mitsunori, 2011. "Generic impossibility of Arrow’s impossibility theorem," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 391-400.

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