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Symmetric reduced form voting

Author

Listed:
  • Lang, Xu

    (Southwestern University of Finance and Economics)

  • Mishra, Debasis

    (Indian Statistical Institute, Delhi)

Abstract

We study a model of voting with two alternatives in a symmetric environment. We characterize the interim allocation probabilities that can be implemented by a symmetric voting rule. We show that every such interim allocation probabilities can be implemented as a convex combination of two families of deterministic voting rules: qualified majority and qualified anti-majority. We also provide analogous results by requiring implementation by a unanimous voting rule. A consequence of our results is that if the prior is independent, every symmetric and ordinally Bayesian incen- tive compatible voting rule is reduced (interim) form equivalent to a symmetric and strategy-proof voting rule.

Suggested Citation

  • Lang, Xu & Mishra, Debasis, 0. "Symmetric reduced form voting," Theoretical Economics, Econometric Society.
    • Handle: RePEc:the:publsh:5400
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    References listed on IDEAS

    as
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    Cited by:

    1. Xu Lang, 2023. "A Belief-Based Characterization of Reduced-Form Auctions," Papers 2307.04070, arXiv.org.
    2. Xu Lang & Zaifu Yang, 2023. "Reduced-Form Allocations for Multiple Indivisible Objects under Constraints," Discussion Papers 23/02, Department of Economics, University of York.

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    More about this item

    Keywords

    Reduced form voting; unanimous voting; ordinal Bayesian incentive compatibility;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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