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On two-valued nonsovereign strategy-proof voting rules

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  • Stefano Vannucci

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    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.

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    Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 672.

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    Date of creation: Apr 2013
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    Handle: RePEc:usi:wpaper:672

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    1. 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.
    2. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2010. "Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results," UFAE and IAE Working Papers 853.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    3. Manjunath, Vikram, 2012. "Group strategy-proofness and voting between two alternatives," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 239-242.
    4. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2009. "Individual versus group strategy proofedness: when do they coincide?," Working Papers 372, Barcelona Graduate School of Economics.
    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.
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