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Ambiguous Social Choice Functions

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  • Demeze-Jouatsa, Ghislain-Herman

    (Center for Mathematical Economics, Bielefeld University)

Abstract

Call a mechanism that associates each profile of preferences over candidates to an ambiguous act an Ambiguous Social Function (ASCF). This paper studies the strategy-proofness of ASCFs. We find that an ASCF is unanimous and strategyproof if and only if there exists a nonempty subset of voters, called the set of top voters, such that at each preference profile, the range of the selected act equals the set of top-ranked candidates of top voters. We provide a full characterization of the class of unanimous, strategyproof, and anonymous ASCFs, and provide a large subclass of ASCFs that satisfy the additional property of neutrality.

Suggested Citation

  • Demeze-Jouatsa, Ghislain-Herman, 2022. "Ambiguous Social Choice Functions," Center for Mathematical Economics Working Papers 660, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:660
    as

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    File URL: https://pub.uni-bielefeld.de/download/2960368/2960369
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Social Choice Function; Ambiguity Aversion; Ellsberg Urns; Strategy-proofness; Unanimity; Anonymity; Neutrality;
    All these keywords.

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