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A note on continuous social choice

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  • Yuqing Zhou

    (Graduate School of Business, Columbia University, New York, NY 10027, USA)

Abstract

We discuss continuous social choice functions defined on the set of the equivalence classes induced by profiles of individual preferences corresponding to anonymity. It is shown that we can at best obtain the equivalent result of Chichilnisky's impossibility theorem when the set of an equivalence classes is endowed with various reasonable topologies.

Suggested Citation

  • Yuqing Zhou, 1997. "A note on continuous social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 245-248.
    • Handle: RePEc:spr:sochwe:v:14:y:1997:i:2:p:245-248
    Note: Received: 28 February 1994/Accepted: 22 April 1996
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    Cited by:

    1. Lauwers, Luc, 2000. "Topological social choice," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July.
    2. Ju, Biung-Ghi, 2004. "Continuous selections from the Pareto correspondence and non-manipulability in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 573-592, August.
    3. Nick Baigent & Daniel Eckert, 2004. "Abstract Aggregations and Proximity Preservation: An Impossibility Result," Theory and Decision, Springer, vol. 56(4), pages 359-366, June.

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