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On two-valued nonsovereign strategy-proof voting rules

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  • Stefano Vannucci

Abstract

It is shown that a two-valued and nonsovereign voting rule is strategy-proof on any preference domain that includes all pro?les of total preorders with a unique maximum if and only if votes for noneligible feasible alternatives are only available to dummy voters. It follows that dummy-free two-valued nonsovereign strategy-proof voting rules with a suitably restricted ballot domain do exist and essentially correspond to dummy-free sovereign strategy-proof voting rules for binary outcome spaces or, equivalently, to ordered transversal pairs of order ?lters of the coalition poset, and are also coalitionally strategy-proof. Moreover, it turns out that two-valued nonsovereign strategy-proof voting rules with full ballot domain do not exist.

Suggested Citation

  • Stefano Vannucci, 2013. "On two-valued nonsovereign strategy-proof voting rules," Department of Economics University of Siena 672, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:672
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    File URL: http://repec.deps.unisi.it/quaderni/672.pdf
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    References listed on IDEAS

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    1. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    2. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 791-808, November.
    3. Manjunath, Vikram, 2012. "Group strategy-proofness and voting between two alternatives," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 239-242.
    4. Danilov, Vladimir I., 1994. "The structure of non-manipulable social choice rules on a tree," Mathematical Social Sciences, Elsevier, vol. 27(2), pages 123-131, April.
    5. Larsson, Bo & Svensson, Lars-Gunnar, 2006. "Strategy-proof voting on the full preference domain," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 272-287, December.
    6. Stefano vannucci, 2012. "Unimodality and equivalence of simple and coalitional strategy-proofness in convex idempotent interval spaces," Department of Economics University of Siena 668, Department of Economics, University of Siena.
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    Cited by:

    1. Makoto Hagiwara & Hirofumi Yamamura, 2020. "Upper set rules with binary ranges," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 657-666, April.

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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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