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A characterization of Approval Voting without the approval balloting assumption

Author

Listed:
  • Federica Ceron

    (Paris School of Economics, Université Paris 1 Panthéon-Sorbonne, Université Paris-Est Créteil)

  • Stéphane Gonzalez

    (Univ Lyon, UJM Saint-Etienne, GATE UMR 5824, F-42023 Saint- Etienne)

Abstract
We provide an axiomatic characterization of Approval Voting without the approval balloting assumption. The dichotomous structure of the informational basis of Approval voting as well as its aggregative rationale are jointly derived from a set of normative conditions on the voting procedure. The first one is the well-known social-theoretic principle of consistency; the second one, ballot richness, requires voters to be able to express a sufficiently rich set of opinions; the last one, dubbed no single-voter overrides, demands that the addition of a voter to an electorate cannot radically change the outcome of the election. Such result is promising insofar it suggests that the informational basis of voting may have a normative relevance that deserves formal treatment.

Suggested Citation

  • Federica Ceron & Stéphane Gonzalez, 2019. "A characterization of Approval Voting without the approval balloting assumption," Working Papers 1938, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    • Handle: RePEc:gat:wpaper:1938
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    References listed on IDEAS

    as
    1. Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), 2009. "The Mathematics of Preference, Choice and Order," Studies in Choice and Welfare, Springer, number 978-3-540-79128-7, December.
    2. Carlos Alós-Ferrer, 2006. "A Simple Characterization of Approval Voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 621-625, December.
    3. François Maniquet & Philippe Mongin, 2015. "Approval voting and Arrow’s impossibility theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 519-532, March.
    4. Baujard, Antoinette & Gavrel, Frédéric & Igersheim, Herrade & Laslier, Jean-François & Lebon, Isabelle, 2018. "How voters use grade scales in evaluative voting," European Journal of Political Economy, Elsevier, vol. 55(C), pages 14-28.
    5. Matías Núñez & Giacomo Valletta, 2015. "The informational basis of scoring rules," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 279-297, December.
    6. Stéphane Gonzalez & Annick Laruelle & Philippe Solal, 2019. "Dilemma with approval and disapproval votes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 497-517, October.
    7. Marc Vorsatz, 2008. "Scoring rules on dichotomous preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 151-162, June.
    8. Nicolas Houy, 2007. "A new characterization of absolute qualified majority voting," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-8.
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    10. Steven J. Brams & M. Remzi Sanver, 2009. "Voting Systems that Combine Approval and Preference," Studies in Choice and Welfare, in: Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), The Mathematics of Preference, Choice and Order, pages 215-237, Springer.
    11. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
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    13. Young, H Peyton, 1974. "A Note on Preference Aggregation," Econometrica, Econometric Society, vol. 42(6), pages 1129-1131, November.
    14. Biung-Ghi Ju, 2010. "Collective Choice for Simple Preferences," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 41-90, Springer.
    15. Robert E. Goodin & Christian List, 2006. "A Conditional Defense of Plurality Rule: Generalizing May's Theorem in a Restricted Informational Environment," American Journal of Political Science, John Wiley & Sons, vol. 50(4), pages 940-949, October.
    16. Claude Hillinger, 2005. "The Case for Utilitarian Voting," Homo Oeconomicus, Institute of SocioEconomics, vol. 23, pages 295-321.
    17. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.
    18. José Alcantud & Annick Laruelle, 2014. "Dis&approval voting: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 1-10, June.
    19. Yongsheng Xu, 2010. "Axiomatizations of Approval Voting," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 91-102, Springer.
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    Cited by:

    1. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon, 2021. "Some regrettable grading scale effects under different versions of evaluative voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 803-834, May.

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    More about this item

    Keywords

    Informational basis; balloting procedure; Approval voting; Evaluative voting;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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