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Preference Intensity Representation : Strategic Overstating in Large Elections

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  • Matias Nunez

    () (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Jean-François Laslier

    () (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique)

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.

Suggested Citation

  • Matias Nunez & Jean-François Laslier, 2013. "Preference Intensity Representation : Strategic Overstating in Large Elections," Post-Print hal-00917099, HAL.
  • Handle: RePEc:hal:journl:hal-00917099
    DOI: 10.1007/s00355-013-0728-0
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00917099
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    References listed on IDEAS

    as
    1. Jean-François Laslier, 2004. "Strategic Approval Voting in a large electorate," Working Papers hal-00242909, HAL.
    2. McKelvey, Richard D. & Patty, John W., 2006. "A theory of voting in large elections," Games and Economic Behavior, Elsevier, vol. 57(1), pages 155-180, October.
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    6. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2012. "Compte-rendu de l’expérimentation des votes par approbation et par note lors des élections présidentielles françaises le 22 avril 2012 à Saint-Etienne, Strasbourg et Louvigny," Working Papers 1220, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    7. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 655-672.
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    Cited by:

    1. Brañas Garza, Pablo & Espinosa Alejos, María Paz & Giritligil, Ayca E., 2013. "Democratic Values Transmission," DFAEII Working Papers DFAEII;2013-02, University of the Basque Country - Department of Foundations of Economic Analysis II.
    2. Pivato, Marcus, 2013. "Statistical utilitarianism," MPRA Paper 49561, University Library of Munich, Germany.
    3. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    4. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
    5. Matías Núñez, 2014. "The strategic sincerity of Approval voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 157-189, May.
    6. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, France, revised 29 Oct 2015.
    7. Martin Gregor, 2013. "The Optimal Ballot Structure for Double-Member Districts," CERGE-EI Working Papers wp493, The Center for Economic Research and Graduate Education - Economics Institute, Prague.

    More about this item

    Keywords

    Strategic voting Voting equilibria;

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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