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Harmless Homotopic Dictators

In: Rational Choice and Social Welfare

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  • Nicholas Baigent

    (Graz University)

Abstract

This paper constructs continuous Paretian social welfare functions for which one agent is a homotopic dictator but another is, in a precise sense, almost all powerful. The significance of this arises from the widely differing views1 that have been expressed about a theorem in Chichilnisky (1982) showing that, for all continuous Paretian social welfare functions there must be a homotopic dictator. What the analysis in this paper therefore shows is that Chichilnisky’s theorem is not a genuine Arrow-type impossibility theorem in the sense that desirable properties are not shown to entail some undesirable concentration of power.

Suggested Citation

  • Nicholas Baigent, 2008. "Harmless Homotopic Dictators," Studies in Choice and Welfare, in: Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), Rational Choice and Social Welfare, pages 25-33, Springer.
    • Handle: RePEc:spr:stcchp:978-3-540-79832-3_2
    DOI: 10.1007/978-3-540-79832-3_2
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