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Preference Intensity Representation : Strategic Overstating in Large Elections

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  • Matias Nunez

    ()
    (THEMA - Théorie économique, modélisation et applications - CNRS : UMR8184 - Université de Cergy Pontoise)

  • Jean-Francois Laslier

    ()
    (Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)

Abstract

If voters vote strategically, is it useful to offer them the possibility of expressing nuanced opinions, or would they always overstate the intensity of their preferences? For additive voting rules, say that a ballot is extremal if it is neither abstention-like nor can be expressed as a mixture of the available ballots. We give a sufficient condition for strategic equivalence: if two rules share the same set of extremal ballots (up to an homothetic transformation), they are strategically equivalent in large elections. This condition is also necessary for the strategic equivalence of positional rules. These results do not hold for small electorates.

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Bibliographic Info

Paper provided by HAL in its series Post-Print with number hal-00917099.

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Date of creation: Feb 2013
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Publication status: Published, Social Choice and Welfare, 2013, 0176-1714
Handle: RePEc:hal:journl:hal-00917099

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Keywords: Strategic voting Voting equilibria;

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Citations

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Cited by:
  1. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, Elsevier, vol. 67(C), pages 50-56.
  2. Matías Núñez, 2014. "The strategic sincerity of Approval voting," Economic Theory, Springer, Springer, vol. 56(1), pages 157-189, May.
  3. Pablo Branas-Garza & Maria Paz Espinosa & Ayca Ebru Giritligil, 2014. "Democratic values transmission," SEET Working Papers, BELIS, Istanbul Bilgi University 2014-01, BELIS, Istanbul Bilgi University.
  4. Martin Gregor, 2013. "The Optimal Ballot Structure for Double-Member Districts," CERGE-EI Working Papers wp493, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
  5. Pivato, Marcus, 2013. "Statistical utilitarianism," MPRA Paper 49561, University Library of Munich, Germany.

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