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Non-anonymous ballot aggregation: an axiomatic generalization of Approval Voting

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Abstract

We study axiomatically situations in which the society agrees to treat voters with different characteristics distinctly. In this setting, we propose a set of six intuitive axioms and show that they jointly characterize a new class of voting procedures, called Personalized Approval Voting. According to this family, each voter has a strictly positive and finite weight (the weight is necessarily the same for all voters with the same characteristics) and the alternative with the highest number of weighted votes is elected. Hence, the implemented voting procedure reduces to Approval Voting in case all voters are identical or the procedure assigns the same weight to all types.

Suggested Citation

  • Jorge Alcalde-Unzu & Marc Vorsat, 2011. "Non-anonymous ballot aggregation: an axiomatic generalization of Approval Voting," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1103, Departamento de Economía - Universidad Pública de Navarra.
  • Handle: RePEc:nav:ecupna:1103
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    References listed on IDEAS

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    1. Laruelle,Annick & Valenciano,Federico, 2011. "Voting and Collective Decision-Making," Cambridge Books, Cambridge University Press, number 9780521182638.
    2. Carlos Alós-Ferrer & Ðura-Georg Granić, 2012. "Two field experiments on Approval Voting in Germany," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 171-205, June.
    3. Salvador Barbera & Matthew O. Jackson, 2006. "On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 317-339, April.
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    6. 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.
    7. 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.
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    13. Marc Vorsatz, 2007. "Approval Voting on Dichotomous Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 127-141, January.
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    Keywords

    approval voting; characterization; anonymity.;

    JEL classification:

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

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